id	sid	tid	token	lemma	pos
ap-1193	1	1	ap-3-10.dvi	ap-3-10.dvi	PROPN
ap-1193	1	2	acta	acta	PROPN
ap-1193	1	3	polytechnica	polytechnica	PROPN
ap-1193	1	4	vol	vol	NOUN
ap-1193	1	5	.	.	PROPN
ap-1193	2	1	50	50	NUM
ap-1193	2	2	no	no	NOUN
ap-1193	2	3	.	.	PUNCT
ap-1193	3	1	3/2010	3/2010	NUM
ap-1193	3	2	gause	gause	PROPN
ap-1193	3	3	symmetry	symmetry	PROPN
ap-1193	3	4	and	and	CCONJ
ap-1193	3	5	howe	howe	NOUN
ap-1193	3	6	duality	duality	NOUN
ap-1193	3	7	in	in	ADP
ap-1193	3	8	4d	4d	NUM
ap-1193	3	9	conformal	conformal	ADJ
ap-1193	3	10	field	field	NOUN
ap-1193	3	11	theory	theory	NOUN
ap-1193	3	12	models	model	NOUN
ap-1193	3	13	i.	i.	PROPN
ap-1193	3	14	todorov	todorov	PROPN
ap-1193	3	15	to	to	ADP
ap-1193	3	16	jiri	jiri	PROPN
ap-1193	3	17	niederle	niederle	PROPN
ap-1193	3	18	on	on	ADP
ap-1193	3	19	the	the	DET
ap-1193	3	20	occasion	occasion	NOUN
ap-1193	3	21	of	of	ADP
ap-1193	3	22	his	his	PRON
ap-1193	3	23	70th	70th	ADJ
ap-1193	3	24	birthday	birthday	NOUN
ap-1193	3	25	abstract	abstract	NOUN
ap-1193	3	26	it	it	PRON
ap-1193	3	27	is	be	AUX
ap-1193	3	28	known	know	VERB
ap-1193	3	29	that	that	SCONJ
ap-1193	3	30	there	there	PRON
ap-1193	3	31	are	be	VERB
ap-1193	3	32	no	no	DET
ap-1193	3	33	local	local	ADJ
ap-1193	3	34	scalar	scalar	ADJ
ap-1193	3	35	lie	lie	NOUN
ap-1193	3	36	fields	field	NOUN
ap-1193	3	37	in	in	ADP
ap-1193	3	38	more	more	ADJ
ap-1193	3	39	than	than	ADP
ap-1193	3	40	two	two	NUM
ap-1193	3	41	dimensions	dimension	NOUN
ap-1193	3	42	.	.	PUNCT
ap-1193	4	1	bilocal	bilocal	ADJ
ap-1193	4	2	fields	field	NOUN
ap-1193	4	3	,	,	PUNCT
ap-1193	4	4	however	however	ADV
ap-1193	4	5	,	,	PUNCT
ap-1193	4	6	which	which	PRON
ap-1193	4	7	naturally	naturally	ADV
ap-1193	4	8	arise	arise	VERB
ap-1193	4	9	in	in	ADP
ap-1193	4	10	conformal	conformal	ADJ
ap-1193	4	11	operator	operator	NOUN
ap-1193	4	12	product	product	NOUN
ap-1193	4	13	expansions	expansion	NOUN
ap-1193	4	14	,	,	PUNCT
ap-1193	4	15	do	do	AUX
ap-1193	4	16	generate	generate	VERB
ap-1193	4	17	infinite	infinite	ADJ
ap-1193	4	18	lie	lie	NOUN
ap-1193	4	19	algebras	algebra	NOUN
ap-1193	4	20	.	.	PUNCT
ap-1193	5	1	it	it	PRON
ap-1193	5	2	is	be	AUX
ap-1193	5	3	demonstrated	demonstrate	VERB
ap-1193	5	4	that	that	SCONJ
ap-1193	5	5	these	these	DET
ap-1193	5	6	lie	lie	NOUN
ap-1193	5	7	algebras	algebra	NOUN
ap-1193	5	8	of	of	ADP
ap-1193	5	9	local	local	ADJ
ap-1193	5	10	observables	observable	NOUN
ap-1193	5	11	admit	admit	VERB
ap-1193	5	12	(	(	PUNCT
ap-1193	5	13	highly	highly	ADV
ap-1193	5	14	reducible	reducible	ADJ
ap-1193	5	15	)	)	PUNCT
ap-1193	5	16	unitary	unitary	ADJ
ap-1193	5	17	positive	positive	ADJ
ap-1193	5	18	energy	energy	NOUN
ap-1193	5	19	representations	representation	NOUN
ap-1193	5	20	in	in	ADP
ap-1193	5	21	a	a	DET
ap-1193	5	22	fock	fock	ADJ
ap-1193	5	23	space	space	NOUN
ap-1193	5	24	.	.	PUNCT
ap-1193	6	1	the	the	DET
ap-1193	6	2	multiplicity	multiplicity	NOUN
ap-1193	6	3	of	of	ADP
ap-1193	6	4	their	their	PRON
ap-1193	6	5	irreducible	irreducible	ADJ
ap-1193	6	6	components	component	NOUN
ap-1193	6	7	is	be	AUX
ap-1193	6	8	governed	govern	VERB
ap-1193	6	9	by	by	ADP
ap-1193	6	10	a	a	DET
ap-1193	6	11	compact	compact	ADJ
ap-1193	6	12	gauge	gauge	NOUN
ap-1193	6	13	group	group	NOUN
ap-1193	6	14	.	.	PUNCT
ap-1193	7	1	the	the	DET
ap-1193	7	2	mutually	mutually	ADV
ap-1193	7	3	commuting	commute	VERB
ap-1193	7	4	observable	observable	ADJ
ap-1193	7	5	algebra	algebra	NOUN
ap-1193	7	6	and	and	CCONJ
ap-1193	7	7	gauge	gauge	NOUN
ap-1193	7	8	group	group	NOUN
ap-1193	7	9	form	form	NOUN
ap-1193	7	10	a	a	DET
ap-1193	7	11	dual	dual	ADJ
ap-1193	7	12	pair	pair	NOUN
ap-1193	7	13	in	in	ADP
ap-1193	7	14	the	the	DET
ap-1193	7	15	sense	sense	NOUN
ap-1193	7	16	of	of	ADP
ap-1193	7	17	howe	howe	NOUN
ap-1193	7	18	.	.	PUNCT
ap-1193	8	1	in	in	ADP
ap-1193	8	2	a	a	DET
ap-1193	8	3	theory	theory	NOUN
ap-1193	8	4	of	of	ADP
ap-1193	8	5	local	local	ADJ
ap-1193	8	6	scalar	scalar	ADJ
ap-1193	8	7	fields	field	NOUN
ap-1193	8	8	of	of	ADP
ap-1193	8	9	conformal	conformal	ADJ
ap-1193	8	10	dimension	dimension	NOUN
ap-1193	8	11	two	two	NUM
ap-1193	8	12	in	in	ADP
ap-1193	8	13	four	four	NUM
ap-1193	8	14	space	space	NOUN
ap-1193	8	15	-	-	PUNCT
ap-1193	8	16	time	time	NOUN
ap-1193	8	17	dimensions	dimension	NOUN
ap-1193	8	18	the	the	DET
ap-1193	8	19	associated	associated	ADJ
ap-1193	8	20	dual	dual	ADJ
ap-1193	8	21	pairs	pair	NOUN
ap-1193	8	22	are	be	AUX
ap-1193	8	23	constructed	construct	VERB
ap-1193	8	24	and	and	CCONJ
ap-1193	8	25	classified	classified	ADJ
ap-1193	8	26	.	.	PUNCT
ap-1193	9	1	the	the	DET
ap-1193	9	2	paper	paper	NOUN
ap-1193	9	3	reviews	review	VERB
ap-1193	9	4	joint	joint	ADJ
ap-1193	9	5	work	work	NOUN
ap-1193	9	6	of	of	ADP
ap-1193	9	7	b.	b.	PROPN
ap-1193	9	8	bakalov	bakalov	PROPN
ap-1193	9	9	,	,	PUNCT
ap-1193	9	10	n.	n.	PROPN
ap-1193	9	11	m.	m.	NOUN
ap-1193	9	12	nikolov	nikolov	PROPN
ap-1193	9	13	,	,	PUNCT
ap-1193	9	14	k.-h	k.-h	NOUN
ap-1193	9	15	.	.	PUNCT
ap-1193	10	1	rehren	rehren	NOUN
ap-1193	10	2	and	and	CCONJ
ap-1193	10	3	the	the	DET
ap-1193	10	4	author	author	NOUN
ap-1193	10	5	.	.	PUNCT
ap-1193	11	1	1	1	NUM
ap-1193	11	2	introduction	introduction	NOUN
ap-1193	11	3	we	we	PRON
ap-1193	11	4	review	review	VERB
ap-1193	11	5	results	result	NOUN
ap-1193	11	6	of	of	ADP
ap-1193	11	7	[	[	X
ap-1193	11	8	32	32	NUM
ap-1193	11	9	,	,	PUNCT
ap-1193	11	10	33	33	NUM
ap-1193	11	11	,	,	PUNCT
ap-1193	11	12	34	34	NUM
ap-1193	11	13	,	,	PUNCT
ap-1193	11	14	35	35	NUM
ap-1193	11	15	,	,	PUNCT
ap-1193	11	16	36	36	NUM
ap-1193	11	17	]	]	PUNCT
ap-1193	11	18	and	and	CCONJ
ap-1193	11	19	[	[	X
ap-1193	11	20	2	2	NUM
ap-1193	11	21	,	,	PUNCT
ap-1193	11	22	3	3	NUM
ap-1193	11	23	]	]	PUNCT
ap-1193	11	24	on	on	ADP
ap-1193	11	25	4d	4d	NUM
ap-1193	11	26	conformal	conformal	ADJ
ap-1193	11	27	field	field	NOUN
ap-1193	11	28	theory	theory	NOUN
ap-1193	11	29	(	(	PUNCT
ap-1193	11	30	cft	cft	PROPN
ap-1193	11	31	)	)	PUNCT
ap-1193	11	32	models	model	NOUN
ap-1193	11	33	,	,	PUNCT
ap-1193	11	34	which	which	PRON
ap-1193	11	35	can	can	AUX
ap-1193	11	36	be	be	AUX
ap-1193	11	37	summed	sum	VERB
ap-1193	11	38	up	up	ADP
ap-1193	11	39	as	as	SCONJ
ap-1193	11	40	follows	follow	VERB
ap-1193	11	41	.	.	PUNCT
ap-1193	12	1	the	the	DET
ap-1193	12	2	requirement	requirement	NOUN
ap-1193	12	3	of	of	ADP
ap-1193	12	4	global	global	ADJ
ap-1193	12	5	conformal	conformal	ADJ
ap-1193	12	6	invariance	invariance	NOUN
ap-1193	12	7	(	(	PUNCT
ap-1193	12	8	gci	gci	PROPN
ap-1193	12	9	)	)	PUNCT
ap-1193	12	10	in	in	ADP
ap-1193	12	11	compactified	compactified	ADJ
ap-1193	12	12	minkowski	minkowski	ADJ
ap-1193	12	13	space	space	NOUN
ap-1193	12	14	together	together	ADV
ap-1193	12	15	with	with	ADP
ap-1193	12	16	the	the	DET
ap-1193	12	17	wightman	wightman	NOUN
ap-1193	12	18	axioms	axiom	VERB
ap-1193	12	19	[	[	X
ap-1193	12	20	41	41	NUM
ap-1193	12	21	]	]	PUNCT
ap-1193	12	22	implies	imply	VERB
ap-1193	12	23	the	the	DET
ap-1193	12	24	huygens	huygens	PROPN
ap-1193	12	25	principle	principle	NOUN
ap-1193	12	26	(	(	PUNCT
ap-1193	12	27	eq	eq	NOUN
ap-1193	12	28	.	.	PUNCT
ap-1193	13	1	(	(	PUNCT
ap-1193	13	2	3.6	3.6	NUM
ap-1193	13	3	)	)	PUNCT
ap-1193	13	4	below	below	ADV
ap-1193	13	5	)	)	PUNCT
ap-1193	13	6	and	and	CCONJ
ap-1193	13	7	rationality	rationality	NOUN
ap-1193	13	8	of	of	ADP
ap-1193	13	9	correlation	correlation	NOUN
ap-1193	13	10	functions	function	NOUN
ap-1193	13	11	[	[	X
ap-1193	13	12	32	32	NUM
ap-1193	13	13	]	]	PUNCT
ap-1193	13	14	.	.	PUNCT
ap-1193	14	1	a	a	DET
ap-1193	14	2	class	class	NOUN
ap-1193	14	3	of	of	ADP
ap-1193	14	4	4d	4d	NUM
ap-1193	14	5	gci	gci	PROPN
ap-1193	14	6	quantum	quantum	NOUN
ap-1193	14	7	field	field	NOUN
ap-1193	14	8	theory	theory	NOUN
ap-1193	14	9	models	model	NOUN
ap-1193	14	10	gives	give	VERB
ap-1193	14	11	rise	rise	NOUN
ap-1193	14	12	to	to	ADP
ap-1193	14	13	a	a	DET
ap-1193	14	14	(	(	PUNCT
ap-1193	14	15	reducible	reducible	ADJ
ap-1193	14	16	)	)	PUNCT
ap-1193	14	17	fock	fock	ADJ
ap-1193	14	18	space	space	NOUN
ap-1193	14	19	representation	representation	NOUN
ap-1193	14	20	of	of	ADP
ap-1193	14	21	a	a	DET
ap-1193	14	22	pair	pair	NOUN
ap-1193	14	23	consisting	consist	VERB
ap-1193	14	24	of	of	ADP
ap-1193	14	25	an	an	DET
ap-1193	14	26	infinite	infinite	ADJ
ap-1193	14	27	dimensional	dimensional	ADJ
ap-1193	14	28	lie	lie	NOUN
ap-1193	14	29	algebra	algebra	NOUN
ap-1193	14	30	l	l	NOUN
ap-1193	14	31	and	and	CCONJ
ap-1193	14	32	a	a	DET
ap-1193	14	33	commuting	commuting	NOUN
ap-1193	14	34	with	with	ADP
ap-1193	14	35	it	it	PRON
ap-1193	14	36	compact	compact	ADJ
ap-1193	14	37	lie	lie	NOUN
ap-1193	14	38	group	group	NOUN
ap-1193	14	39	u	u	PROPN
ap-1193	14	40	.	.	PUNCT
ap-1193	15	1	the	the	DET
ap-1193	15	2	state	state	NOUN
ap-1193	15	3	space	space	NOUN
ap-1193	15	4	f	f	PROPN
ap-1193	15	5	splits	split	VERB
ap-1193	15	6	into	into	ADP
ap-1193	15	7	a	a	DET
ap-1193	15	8	direct	direct	ADJ
ap-1193	15	9	sum	sum	NOUN
ap-1193	15	10	of	of	ADP
ap-1193	15	11	irreducible	irreducible	ADJ
ap-1193	15	12	l	l	NOUN
ap-1193	15	13	×	×	NOUN
ap-1193	15	14	u	u	NOUN
ap-1193	15	15	modules	module	NOUN
ap-1193	15	16	,	,	PUNCT
ap-1193	15	17	so	so	SCONJ
ap-1193	15	18	that	that	SCONJ
ap-1193	15	19	each	each	DET
ap-1193	15	20	irreducible	irreducible	ADJ
ap-1193	15	21	representation	representation	NOUN
ap-1193	15	22	(	(	PUNCT
ap-1193	15	23	ir	ir	NOUN
ap-1193	15	24	)	)	PUNCT
ap-1193	15	25	of	of	ADP
ap-1193	15	26	l	l	NOUN
ap-1193	15	27	appears	appear	VERB
ap-1193	15	28	with	with	ADP
ap-1193	15	29	a	a	DET
ap-1193	15	30	multiplicity	multiplicity	NOUN
ap-1193	15	31	equal	equal	ADJ
ap-1193	15	32	to	to	ADP
ap-1193	15	33	the	the	DET
ap-1193	15	34	dimension	dimension	NOUN
ap-1193	15	35	of	of	ADP
ap-1193	15	36	an	an	DET
ap-1193	15	37	associated	associated	ADJ
ap-1193	15	38	ir	ir	NOUN
ap-1193	15	39	of	of	ADP
ap-1193	15	40	u	u	PROPN
ap-1193	15	41	.	.	PUNCT
ap-1193	16	1	the	the	DET
ap-1193	16	2	pair	pair	NOUN
ap-1193	16	3	(	(	PUNCT
ap-1193	16	4	l	l	NOUN
ap-1193	16	5	,	,	PUNCT
ap-1193	16	6	u	u	NOUN
ap-1193	16	7	)	)	PUNCT
ap-1193	16	8	illustrates	illustrate	VERB
ap-1193	16	9	a	a	DET
ap-1193	16	10	interconnects	interconnect	NOUN
ap-1193	16	11	two	two	NUM
ap-1193	16	12	independent	independent	ADJ
ap-1193	16	13	developments	development	NOUN
ap-1193	16	14	:	:	PUNCT
ap-1193	16	15	(	(	PUNCT
ap-1193	16	16	i	i	NOUN
ap-1193	16	17	)	)	PUNCT
ap-1193	16	18	it	it	PRON
ap-1193	16	19	appears	appear	VERB
ap-1193	16	20	as	as	ADP
ap-1193	16	21	a	a	DET
ap-1193	16	22	reductive	reductive	ADJ
ap-1193	16	23	dual	dual	ADJ
ap-1193	16	24	pair	pair	NOUN
ap-1193	16	25	,	,	PUNCT
ap-1193	16	26	[	[	X
ap-1193	16	27	16	16	NUM
ap-1193	16	28	,	,	PUNCT
ap-1193	16	29	17	17	NUM
ap-1193	16	30	]	]	PUNCT
ap-1193	16	31	,	,	PUNCT
ap-1193	16	32	within	within	ADP
ap-1193	16	33	(	(	PUNCT
ap-1193	16	34	a	a	DET
ap-1193	16	35	central	central	ADJ
ap-1193	16	36	extension	extension	NOUN
ap-1193	16	37	of	of	ADP
ap-1193	16	38	)	)	PUNCT
ap-1193	16	39	an	an	DET
ap-1193	16	40	infinite	infinite	ADJ
ap-1193	16	41	dimensional	dimensional	ADJ
ap-1193	16	42	symplectic	symplectic	ADJ
ap-1193	16	43	lie	lie	NOUN
ap-1193	16	44	algebra	algebra	NOUN
ap-1193	16	45	;	;	PUNCT
ap-1193	16	46	(	(	PUNCT
ap-1193	16	47	ii	ii	X
ap-1193	16	48	)	)	PUNCT
ap-1193	16	49	it	it	PRON
ap-1193	16	50	provides	provide	VERB
ap-1193	16	51	a	a	DET
ap-1193	16	52	representation	representation	NOUN
ap-1193	16	53	theoretic	theoretic	ADJ
ap-1193	16	54	realization	realization	NOUN
ap-1193	16	55	of	of	ADP
ap-1193	16	56	the	the	DET
ap-1193	16	57	doplicher	doplicher	ADJ
ap-1193	16	58	-	-	PUNCT
ap-1193	16	59	haag	haag	NOUN
ap-1193	16	60	-	-	PUNCT
ap-1193	16	61	roberts	roberts	PROPN
ap-1193	16	62	’	'	PUNCT
ap-1193	16	63	(	(	PUNCT
ap-1193	16	64	dhr	dhr	NOUN
ap-1193	16	65	)	)	PUNCT
ap-1193	16	66	theory	theory	NOUN
ap-1193	16	67	of	of	ADP
ap-1193	16	68	superselection	superselection	NOUN
ap-1193	16	69	sectors	sector	NOUN
ap-1193	16	70	and	and	CCONJ
ap-1193	16	71	compact	compact	ADJ
ap-1193	16	72	gauge	gauge	NOUN
ap-1193	16	73	groups	group	NOUN
ap-1193	16	74	,	,	PUNCT
ap-1193	16	75	[	[	X
ap-1193	16	76	8	8	NUM
ap-1193	16	77	,	,	PUNCT
ap-1193	16	78	14	14	NUM
ap-1193	16	79	]	]	PUNCT
ap-1193	16	80	.	.	PUNCT
ap-1193	17	1	i	i	PRON
ap-1193	17	2	shall	shall	AUX
ap-1193	17	3	first	first	ADV
ap-1193	17	4	briefly	briefly	NOUN
ap-1193	17	5	recall	recall	PROPN
ap-1193	17	6	howe	howe	PROPN
ap-1193	17	7	’s	’s	PART
ap-1193	17	8	and	and	CCONJ
ap-1193	17	9	dhr	dhr	PROPN
ap-1193	17	10	’s	’s	PART
ap-1193	17	11	theories	theory	NOUN
ap-1193	17	12	;	;	PUNCT
ap-1193	17	13	then	then	ADV
ap-1193	17	14	(	(	PUNCT
ap-1193	17	15	in	in	ADP
ap-1193	17	16	sect	sect	NOUN
ap-1193	17	17	.	.	PUNCT
ap-1193	18	1	2	2	X
ap-1193	18	2	)	)	PUNCT
ap-1193	18	3	i	i	PRON
ap-1193	18	4	will	will	AUX
ap-1193	18	5	explain	explain	VERB
ap-1193	18	6	how	how	SCONJ
ap-1193	18	7	some	some	DET
ap-1193	18	8	2d	2d	NUM
ap-1193	18	9	cft	cft	NOUN
ap-1193	18	10	techniques	technique	NOUN
ap-1193	18	11	can	can	AUX
ap-1193	18	12	be	be	AUX
ap-1193	18	13	extended	extend	VERB
ap-1193	18	14	to	to	ADP
ap-1193	18	15	four	four	NUM
ap-1193	18	16	space	space	NOUN
ap-1193	18	17	-	-	PUNCT
ap-1193	18	18	time	time	NOUN
ap-1193	18	19	dimensions	dimension	NOUN
ap-1193	18	20	(	(	PUNCT
ap-1193	18	21	in	in	ADP
ap-1193	18	22	spite	spite	NOUN
ap-1193	18	23	of	of	ADP
ap-1193	18	24	persistent	persistent	ADJ
ap-1193	18	25	doubts	doubt	NOUN
ap-1193	18	26	that	that	SCONJ
ap-1193	18	27	this	this	PRON
ap-1193	18	28	is	be	AUX
ap-1193	18	29	at	at	ADV
ap-1193	18	30	all	all	ADV
ap-1193	18	31	possible	possible	ADJ
ap-1193	18	32	)	)	PUNCT
ap-1193	18	33	.	.	PUNCT
ap-1193	19	1	after	after	ADP
ap-1193	19	2	these	these	DET
ap-1193	19	3	preliminaries	preliminary	NOUN
ap-1193	19	4	we	we	PRON
ap-1193	19	5	shall	shall	AUX
ap-1193	19	6	proceed	proceed	VERB
ap-1193	19	7	with	with	ADP
ap-1193	19	8	our	our	PRON
ap-1193	19	9	survey	survey	NOUN
ap-1193	19	10	of	of	ADP
ap-1193	19	11	4d	4d	NUM
ap-1193	19	12	cft	cft	NOUN
ap-1193	19	13	models	model	NOUN
ap-1193	19	14	and	and	CCONJ
ap-1193	19	15	associated	associate	VERB
ap-1193	19	16	infinite	infinite	ADJ
ap-1193	19	17	dimensional	dimensional	ADJ
ap-1193	19	18	lie	lie	NOUN
ap-1193	19	19	algebras	algebra	NOUN
ap-1193	19	20	which	which	PRON
ap-1193	19	21	relate	relate	VERB
ap-1193	19	22	the	the	DET
ap-1193	19	23	two	two	NUM
ap-1193	19	24	independent	independent	ADJ
ap-1193	19	25	developments	development	NOUN
ap-1193	19	26	.	.	PUNCT
ap-1193	20	1	1.1	1.1	NUM
ap-1193	20	2	reductive	reductive	ADJ
ap-1193	20	3	dual	dual	ADJ
ap-1193	20	4	pairs	pair	NOUN
ap-1193	20	5	the	the	DET
ap-1193	20	6	notion	notion	NOUN
ap-1193	20	7	of	of	ADP
ap-1193	20	8	a	a	DET
ap-1193	20	9	(	(	PUNCT
ap-1193	20	10	reductive	reductive	ADJ
ap-1193	20	11	)	)	PUNCT
ap-1193	20	12	dual	dual	ADJ
ap-1193	20	13	pair	pair	NOUN
ap-1193	20	14	was	be	AUX
ap-1193	20	15	introduced	introduce	VERB
ap-1193	20	16	by	by	ADP
ap-1193	20	17	roger	roger	PROPN
ap-1193	20	18	howe	howe	PROPN
ap-1193	20	19	in	in	ADP
ap-1193	20	20	an	an	DET
ap-1193	20	21	influential	influential	ADJ
ap-1193	20	22	preprint	preprint	NOUN
ap-1193	20	23	of	of	ADP
ap-1193	20	24	the	the	DET
ap-1193	20	25	1970	1970	NUM
ap-1193	20	26	’s	’s	NOUN
ap-1193	20	27	that	that	PRON
ap-1193	20	28	was	be	AUX
ap-1193	20	29	eventually	eventually	ADV
ap-1193	20	30	published	publish	VERB
ap-1193	20	31	in	in	ADP
ap-1193	20	32	[	[	X
ap-1193	20	33	17	17	NUM
ap-1193	20	34	]	]	PUNCT
ap-1193	20	35	.	.	PUNCT
ap-1193	21	1	it	it	PRON
ap-1193	21	2	was	be	AUX
ap-1193	21	3	previewed	preview	VERB
ap-1193	21	4	in	in	ADP
ap-1193	21	5	two	two	NUM
ap-1193	21	6	earlier	early	ADJ
ap-1193	21	7	papers	paper	NOUN
ap-1193	21	8	of	of	ADP
ap-1193	21	9	howe	howe	NOUN
ap-1193	21	10	,	,	PUNCT
ap-1193	21	11	[	[	X
ap-1193	21	12	15	15	NUM
ap-1193	21	13	,	,	PUNCT
ap-1193	21	14	16	16	NUM
ap-1193	21	15	]	]	PUNCT
ap-1193	21	16	,	,	PUNCT
ap-1193	21	17	highlightening	highlightene	VERB
ap-1193	21	18	the	the	DET
ap-1193	21	19	role	role	NOUN
ap-1193	21	20	of	of	ADP
ap-1193	21	21	the	the	DET
ap-1193	21	22	heisenberg	heisenberg	PROPN
ap-1193	21	23	group	group	NOUN
ap-1193	21	24	and	and	CCONJ
ap-1193	21	25	the	the	DET
ap-1193	21	26	applications	application	NOUN
ap-1193	21	27	of	of	ADP
ap-1193	21	28	dual	dual	ADJ
ap-1193	21	29	pairs	pair	NOUN
ap-1193	21	30	to	to	ADP
ap-1193	21	31	physics	physics	NOUN
ap-1193	21	32	.	.	PUNCT
ap-1193	22	1	for	for	ADP
ap-1193	22	2	howe	howe	PROPN
ap-1193	22	3	a	a	DET
ap-1193	22	4	dual	dual	ADJ
ap-1193	22	5	pair	pair	NOUN
ap-1193	22	6	,	,	PUNCT
ap-1193	22	7	the	the	DET
ap-1193	22	8	counterpart	counterpart	NOUN
ap-1193	22	9	for	for	ADP
ap-1193	22	10	groups	group	NOUN
ap-1193	22	11	and	and	CCONJ
ap-1193	22	12	for	for	ADP
ap-1193	22	13	lie	lie	NOUN
ap-1193	22	14	algebras	algebra	NOUN
ap-1193	22	15	of	of	ADP
ap-1193	22	16	the	the	DET
ap-1193	22	17	mutual	mutual	ADJ
ap-1193	22	18	commutants	commutant	NOUN
ap-1193	22	19	of	of	ADP
ap-1193	22	20	von	von	PROPN
ap-1193	22	21	neumann	neumann	PROPN
ap-1193	22	22	algebras	algebras	PROPN
ap-1193	22	23	(	(	PUNCT
ap-1193	22	24	[	[	X
ap-1193	22	25	14	14	NUM
ap-1193	22	26	]	]	NUM
ap-1193	22	27	)	)	PUNCT
ap-1193	22	28	,	,	PUNCT
ap-1193	22	29	is	be	AUX
ap-1193	22	30	a	a	DET
ap-1193	22	31	(	(	PUNCT
ap-1193	22	32	highly	highly	ADV
ap-1193	22	33	structured	structured	ADJ
ap-1193	22	34	)	)	PUNCT
ap-1193	22	35	concept	concept	NOUN
ap-1193	22	36	that	that	PRON
ap-1193	22	37	plays	play	VERB
ap-1193	22	38	a	a	DET
ap-1193	22	39	unifying	unifying	ADJ
ap-1193	22	40	role	role	NOUN
ap-1193	22	41	in	in	ADP
ap-1193	22	42	such	such	ADJ
ap-1193	22	43	widely	widely	ADV
ap-1193	22	44	different	different	ADJ
ap-1193	22	45	topics	topic	NOUN
ap-1193	22	46	as	as	ADP
ap-1193	22	47	weil	weil	PROPN
ap-1193	22	48	’s	’s	PART
ap-1193	22	49	metaplectic	metaplectic	ADJ
ap-1193	22	50	group	group	NOUN
ap-1193	22	51	approach	approach	NOUN
ap-1193	22	52	[	[	X
ap-1193	22	53	44	44	NUM
ap-1193	22	54	]	]	PUNCT
ap-1193	22	55	to	to	ADP
ap-1193	22	56	θ	θ	PROPN
ap-1193	22	57	functions	function	NOUN
ap-1193	22	58	and	and	CCONJ
ap-1193	22	59	automorphic	automorphic	ADJ
ap-1193	22	60	forms	form	NOUN
ap-1193	22	61	(	(	PUNCT
ap-1193	22	62	an	an	DET
ap-1193	22	63	important	important	ADJ
ap-1193	22	64	chapter	chapter	NOUN
ap-1193	22	65	in	in	ADP
ap-1193	22	66	number	number	NOUN
ap-1193	22	67	theory	theory	NOUN
ap-1193	22	68	)	)	PUNCT
ap-1193	22	69	and	and	CCONJ
ap-1193	22	70	the	the	DET
ap-1193	22	71	quantum	quantum	PROPN
ap-1193	22	72	mechanical	mechanical	PROPN
ap-1193	22	73	heisenberg	heisenberg	PROPN
ap-1193	22	74	group	group	PROPN
ap-1193	22	75	along	along	ADP
ap-1193	22	76	with	with	ADP
ap-1193	22	77	the	the	DET
ap-1193	22	78	description	description	NOUN
ap-1193	22	79	of	of	ADP
ap-1193	22	80	massless	massless	NOUN
ap-1193	22	81	particles	particle	NOUN
ap-1193	22	82	in	in	ADP
ap-1193	22	83	terms	term	NOUN
ap-1193	22	84	of	of	ADP
ap-1193	22	85	the	the	DET
ap-1193	22	86	ladder	ladder	NOUN
ap-1193	22	87	representations	representation	NOUN
ap-1193	22	88	of	of	ADP
ap-1193	22	89	u(2	u(2	NOUN
ap-1193	22	90	,	,	PUNCT
ap-1193	22	91	2	2	NUM
ap-1193	22	92	)	)	PUNCT
ap-1193	23	1	[	[	X
ap-1193	23	2	31	31	NUM
ap-1193	23	3	]	]	PUNCT
ap-1193	23	4	,	,	PUNCT
ap-1193	23	5	among	among	ADP
ap-1193	23	6	others	other	NOUN
ap-1193	23	7	(	(	PUNCT
ap-1193	23	8	in	in	ADP
ap-1193	23	9	physics	physics	NOUN
ap-1193	23	10	)	)	PUNCT
ap-1193	23	11	.	.	PUNCT
ap-1193	24	1	howe	howe	NOUN
ap-1193	24	2	begins	begin	VERB
ap-1193	24	3	in	in	ADP
ap-1193	24	4	[	[	X
ap-1193	24	5	16	16	NUM
ap-1193	24	6	]	]	PUNCT
ap-1193	24	7	with	with	ADP
ap-1193	24	8	a	a	DET
ap-1193	24	9	2n	2n	NUM
ap-1193	24	10	-	-	PUNCT
ap-1193	24	11	dimensional	dimensional	ADJ
ap-1193	24	12	real	real	ADJ
ap-1193	24	13	symplectic	symplectic	ADJ
ap-1193	24	14	manifoldw	manifoldw	NOUN
ap-1193	24	15	=	=	SYM
ap-1193	24	16	v+v	v+v	NUM
ap-1193	24	17	′	′	NUM
ap-1193	24	18	where	where	SCONJ
ap-1193	24	19	v	v	NOUN
ap-1193	24	20	is	be	AUX
ap-1193	24	21	spanned	span	VERB
ap-1193	24	22	by	by	ADP
ap-1193	24	23	n	n	PART
ap-1193	24	24	symbols	symbol	NOUN
ap-1193	24	25	ai	ai	VERB
ap-1193	24	26	,	,	PUNCT
ap-1193	24	27	i	i	PRON
ap-1193	24	28	=	=	NOUN
ap-1193	24	29	1	1	NUM
ap-1193	24	30	,	,	PUNCT
ap-1193	24	31	.	.	PUNCT
ap-1193	24	32	.	.	PUNCT
ap-1193	25	1	.	.	PUNCT
ap-1193	26	1	,	,	PUNCT
ap-1193	26	2	n	n	CCONJ
ap-1193	26	3	,	,	PUNCT
ap-1193	26	4	called	call	VERB
ap-1193	26	5	annihilation	annihilation	NOUN
ap-1193	26	6	operators	operator	NOUN
ap-1193	26	7	and	and	CCONJ
ap-1193	26	8	v	v	NOUN
ap-1193	26	9	′	′	NOUN
ap-1193	26	10	is	be	AUX
ap-1193	26	11	spanned	span	VERB
ap-1193	26	12	by	by	ADP
ap-1193	26	13	their	their	PRON
ap-1193	26	14	conjugate	conjugate	NOUN
ap-1193	26	15	,	,	PUNCT
ap-1193	26	16	the	the	DET
ap-1193	26	17	creation	creation	NOUN
ap-1193	26	18	operators	operator	NOUN
ap-1193	26	19	a∗	a∗	VERB
ap-1193	26	20	i	i	PRON
ap-1193	26	21	satisfying	satisfy	VERB
ap-1193	26	22	the	the	DET
ap-1193	26	23	canonical	canonical	ADJ
ap-1193	26	24	commutation	commutation	NOUN
ap-1193	26	25	relations	relation	NOUN
ap-1193	26	26	(	(	PUNCT
ap-1193	26	27	ccr	ccr	PROPN
ap-1193	26	28	)	)	PUNCT
ap-1193	27	1	[	[	X
ap-1193	27	2	ai	ai	ADP
ap-1193	27	3	,	,	PUNCT
ap-1193	27	4	aj	aj	PROPN
ap-1193	27	5	]	]	PUNCT
ap-1193	28	1	=	=	PUNCT
ap-1193	28	2	0	0	PUNCT
ap-1193	29	1	=	=	PUNCT
ap-1193	30	1	[	[	X
ap-1193	30	2	a	a	DET
ap-1193	30	3	∗	∗	X
ap-1193	30	4	i	i	PRON
ap-1193	30	5	,	,	PUNCT
ap-1193	30	6	a	a	DET
ap-1193	30	7	∗	∗	X
ap-1193	30	8	j	j	PROPN
ap-1193	31	1	]	]	X
ap-1193	31	2	,	,	PUNCT
ap-1193	31	3	[	[	X
ap-1193	31	4	ai	ai	ADP
ap-1193	31	5	,	,	PUNCT
ap-1193	31	6	a	a	DET
ap-1193	31	7	∗	∗	X
ap-1193	31	8	j	j	NOUN
ap-1193	31	9	]	]	X
ap-1193	31	10	=	=	PUNCT
ap-1193	31	11	δij	δij	NOUN
ap-1193	31	12	.	.	PUNCT
ap-1193	32	1	(	(	PUNCT
ap-1193	32	2	1.1	1.1	NUM
ap-1193	32	3	)	)	PUNCT
ap-1193	32	4	the	the	DET
ap-1193	32	5	commutator	commutator	NOUN
ap-1193	32	6	of	of	ADP
ap-1193	32	7	two	two	NUM
ap-1193	32	8	elements	element	NOUN
ap-1193	32	9	of	of	ADP
ap-1193	32	10	the	the	DET
ap-1193	32	11	real	real	ADJ
ap-1193	32	12	vector	vector	NOUN
ap-1193	32	13	space	space	NOUN
ap-1193	32	14	w	w	NOUN
ap-1193	32	15	being	be	AUX
ap-1193	32	16	a	a	DET
ap-1193	32	17	real	real	ADJ
ap-1193	32	18	number	number	NOUN
ap-1193	32	19	it	it	PRON
ap-1193	32	20	defines	define	VERB
ap-1193	32	21	a	a	DET
ap-1193	32	22	(	(	PUNCT
ap-1193	32	23	nondegenerate	nondegenerate	ADJ
ap-1193	32	24	,	,	PUNCT
ap-1193	32	25	skew	skew	ADJ
ap-1193	32	26	-	-	PUNCT
ap-1193	32	27	symmetric	symmetric	ADJ
ap-1193	32	28	)	)	PUNCT
ap-1193	32	29	bilinear	bilinear	NOUN
ap-1193	32	30	form	form	NOUN
ap-1193	32	31	on	on	ADP
ap-1193	32	32	it	it	PRON
ap-1193	32	33	which	which	PRON
ap-1193	32	34	vanishes	vanish	VERB
ap-1193	32	35	on	on	ADP
ap-1193	32	36	v	v	NOUN
ap-1193	32	37	and	and	CCONJ
ap-1193	32	38	on	on	ADP
ap-1193	32	39	v	v	NUM
ap-1193	32	40	′	′	NUM
ap-1193	32	41	separately	separately	ADV
ap-1193	32	42	and	and	CCONJ
ap-1193	32	43	for	for	ADP
ap-1193	32	44	which	which	PRON
ap-1193	32	45	v	v	ADP
ap-1193	32	46	′	′	NOUN
ap-1193	32	47	appears	appear	VERB
ap-1193	32	48	as	as	ADP
ap-1193	32	49	the	the	DET
ap-1193	32	50	dual	dual	ADJ
ap-1193	32	51	space	space	NOUN
ap-1193	32	52	to	to	ADP
ap-1193	32	53	v	v	NOUN
ap-1193	32	54	(	(	PUNCT
ap-1193	32	55	the	the	DET
ap-1193	32	56	space	space	NOUN
ap-1193	32	57	of	of	ADP
ap-1193	32	58	linear	linear	PROPN
ap-1193	32	59	functionals	functional	NOUN
ap-1193	32	60	on	on	ADP
ap-1193	32	61	v	v	NOUN
ap-1193	32	62	)	)	PUNCT
ap-1193	32	63	.	.	PUNCT
ap-1193	33	1	the	the	DET
ap-1193	33	2	real	real	ADJ
ap-1193	33	3	symplectic	symplectic	ADJ
ap-1193	33	4	lie	lie	NOUN
ap-1193	33	5	algebra	algebra	VERB
ap-1193	33	6	sp(2n	sp(2n	X
ap-1193	33	7	,	,	PUNCT
ap-1193	33	8	r	r	NOUN
ap-1193	33	9	)	)	PUNCT
ap-1193	33	10	spanned	span	VERB
ap-1193	33	11	by	by	ADP
ap-1193	33	12	antihermitean	antihermitean	ADJ
ap-1193	33	13	quadratic	quadratic	ADJ
ap-1193	33	14	combinations	combination	NOUN
ap-1193	33	15	of	of	ADP
ap-1193	33	16	ai	ai	NOUN
ap-1193	33	17	and	and	CCONJ
ap-1193	33	18	a∗	a∗	PROPN
ap-1193	33	19	j	j	PROPN
ap-1193	33	20	acts	act	VERB
ap-1193	33	21	by	by	ADP
ap-1193	33	22	commutators	commutator	NOUN
ap-1193	33	23	on	on	ADP
ap-1193	33	24	w	w	ADP
ap-1193	33	25	preserving	preserve	VERB
ap-1193	33	26	its	its	PRON
ap-1193	33	27	reality	reality	NOUN
ap-1193	33	28	and	and	CCONJ
ap-1193	33	29	the	the	DET
ap-1193	33	30	above	above	ADJ
ap-1193	33	31	bilinear	bilinear	NOUN
ap-1193	33	32	form	form	NOUN
ap-1193	33	33	.	.	PUNCT
ap-1193	34	1	this	this	DET
ap-1193	34	2	action	action	NOUN
ap-1193	34	3	extends	extend	VERB
ap-1193	34	4	to	to	ADP
ap-1193	34	5	the	the	DET
ap-1193	34	6	fock	fock	ADJ
ap-1193	34	7	space	space	NOUN
ap-1193	34	8	f	f	PROPN
ap-1193	34	9	(	(	PUNCT
ap-1193	34	10	unitary	unitary	ADJ
ap-1193	34	11	,	,	PUNCT
ap-1193	34	12	irreducible	irreducible	ADJ
ap-1193	34	13	)	)	PUNCT
ap-1193	34	14	representation	representation	NOUN
ap-1193	34	15	of	of	ADP
ap-1193	34	16	the	the	DET
ap-1193	34	17	ccr	ccr	PROPN
ap-1193	34	18	.	.	PUNCT
ap-1193	35	1	it	it	PRON
ap-1193	35	2	is	be	AUX
ap-1193	35	3	,	,	PUNCT
ap-1193	35	4	however	however	ADV
ap-1193	35	5	,	,	PUNCT
ap-1193	35	6	only	only	ADV
ap-1193	35	7	exponentiated	exponentiate	VERB
ap-1193	35	8	to	to	ADP
ap-1193	35	9	the	the	DET
ap-1193	35	10	double	double	ADJ
ap-1193	35	11	cover	cover	NOUN
ap-1193	35	12	of	of	ADP
ap-1193	35	13	sp(2n	sp(2n	PRON
ap-1193	35	14	,	,	PUNCT
ap-1193	35	15	r	r	NOUN
ap-1193	35	16	)	)	PUNCT
ap-1193	35	17	,	,	PUNCT
ap-1193	35	18	the	the	DET
ap-1193	35	19	metaplectic	metaplectic	ADJ
ap-1193	35	20	group	group	NOUN
ap-1193	35	21	mp(2n	mp(2n	NOUN
ap-1193	35	22	)	)	PUNCT
ap-1193	35	23	(	(	PUNCT
ap-1193	35	24	which	which	PRON
ap-1193	35	25	is	be	AUX
ap-1193	35	26	not	not	PART
ap-1193	35	27	a	a	DET
ap-1193	35	28	matrix	matrix	NOUN
ap-1193	35	29	group	group	NOUN
ap-1193	35	30	–	–	PUNCT
ap-1193	35	31	i.e.	i.e.	X
ap-1193	35	32	,	,	PUNCT
ap-1193	35	33	has	have	VERB
ap-1193	35	34	no	no	DET
ap-1193	35	35	faithful	faithful	ADJ
ap-1193	35	36	finite	finite	ADJ
ap-1193	35	37	-	-	ADJ
ap-1193	35	38	dimensional	dimensional	ADJ
ap-1193	35	39	representation	representation	NOUN
ap-1193	35	40	;	;	PUNCT
ap-1193	35	41	we	we	PRON
ap-1193	35	42	can	can	AUX
ap-1193	35	43	view	view	VERB
ap-1193	35	44	its	its	PRON
ap-1193	35	45	fock	fock	ADJ
ap-1193	35	46	space	space	NOUN
ap-1193	35	47	,	,	PUNCT
ap-1193	35	48	called	call	VERB
ap-1193	35	49	by	by	ADP
ap-1193	35	50	howe	howe	NOUN
ap-1193	35	51	[	[	X
ap-1193	35	52	16	16	NUM
ap-1193	35	53	]	]	PUNCT
ap-1193	35	54	oscillator	oscillator	NOUN
ap-1193	35	55	representation	representation	NOUN
ap-1193	35	56	as	as	ADP
ap-1193	35	57	the	the	DET
ap-1193	35	58	defining	define	VERB
ap-1193	35	59	one	one	NUM
ap-1193	35	60	)	)	PUNCT
ap-1193	35	61	.	.	PUNCT
ap-1193	36	1	two	two	NUM
ap-1193	36	2	subgroups	subgroup	NOUN
ap-1193	36	3	g	g	PROPN
ap-1193	36	4	and	and	CCONJ
ap-1193	36	5	g′	g′	PROPN
ap-1193	36	6	ofmp(2n	ofmp(2n	PROPN
ap-1193	36	7	)	)	PUNCT
ap-1193	36	8	are	be	AUX
ap-1193	36	9	said	say	VERB
ap-1193	36	10	to	to	PART
ap-1193	36	11	form	form	VERB
ap-1193	36	12	a	a	DET
ap-1193	36	13	(	(	PUNCT
ap-1193	36	14	reductive	reductive	ADJ
ap-1193	36	15	)	)	PUNCT
ap-1193	36	16	dual	dual	ADJ
ap-1193	36	17	pair	pair	NOUN
ap-1193	36	18	if	if	SCONJ
ap-1193	36	19	they	they	PRON
ap-1193	36	20	act	act	VERB
ap-1193	36	21	reductively	reductively	ADV
ap-1193	36	22	on	on	ADP
ap-1193	36	23	f	f	PROPN
ap-1193	36	24	(	(	PUNCT
ap-1193	36	25	that	that	PRON
ap-1193	36	26	is	be	AUX
ap-1193	36	27	automatic	automatic	ADJ
ap-1193	36	28	for	for	ADP
ap-1193	36	29	54	54	NUM
ap-1193	36	30	acta	acta	PROPN
ap-1193	36	31	polytechnica	polytechnica	PROPN
ap-1193	36	32	vol	vol	NOUN
ap-1193	36	33	.	.	PROPN
ap-1193	37	1	50	50	NUM
ap-1193	37	2	no	no	NOUN
ap-1193	37	3	.	.	PUNCT
ap-1193	38	1	3/2010	3/2010	NUM
ap-1193	38	2	a	a	DET
ap-1193	38	3	unitary	unitary	ADJ
ap-1193	38	4	representation	representation	NOUN
ap-1193	38	5	like	like	ADP
ap-1193	38	6	the	the	DET
ap-1193	38	7	one	one	NOUN
ap-1193	38	8	considered	consider	VERB
ap-1193	38	9	here	here	ADV
ap-1193	38	10	)	)	PUNCT
ap-1193	38	11	and	and	CCONJ
ap-1193	38	12	each	each	PRON
ap-1193	38	13	of	of	ADP
ap-1193	38	14	them	they	PRON
ap-1193	38	15	is	be	AUX
ap-1193	38	16	the	the	DET
ap-1193	38	17	full	full	ADJ
ap-1193	38	18	centralizer	centralizer	NOUN
ap-1193	38	19	of	of	ADP
ap-1193	38	20	the	the	DET
ap-1193	38	21	other	other	ADJ
ap-1193	38	22	in	in	ADP
ap-1193	38	23	mp(2n	mp(2n	NOUN
ap-1193	38	24	)	)	PUNCT
ap-1193	38	25	.	.	PUNCT
ap-1193	39	1	the	the	DET
ap-1193	39	2	oscillator	oscillator	NOUN
ap-1193	39	3	representation	representation	NOUN
ap-1193	39	4	of	of	ADP
ap-1193	39	5	mp(2n	mp(2n	NOUN
ap-1193	39	6	)	)	PUNCT
ap-1193	39	7	displays	display	VERB
ap-1193	39	8	a	a	DET
ap-1193	39	9	minimality	minimality	NOUN
ap-1193	39	10	property	property	NOUN
ap-1193	39	11	,	,	PUNCT
ap-1193	39	12	[	[	X
ap-1193	39	13	19	19	NUM
ap-1193	39	14	]	]	PUNCT
ap-1193	39	15	that	that	PRON
ap-1193	39	16	keeps	keep	VERB
ap-1193	39	17	attracting	attract	VERB
ap-1193	39	18	the	the	DET
ap-1193	39	19	attention	attention	NOUN
ap-1193	39	20	of	of	ADP
ap-1193	39	21	both	both	DET
ap-1193	39	22	physicists	physicist	NOUN
ap-1193	39	23	and	and	CCONJ
ap-1193	39	24	mathematicians	mathematician	NOUN
ap-1193	39	25	–	–	PUNCT
ap-1193	39	26	see	see	VERB
ap-1193	40	1	e.g.	e.g.	ADV
ap-1193	40	2	[	[	X
ap-1193	40	3	25	25	NUM
ap-1193	40	4	,	,	PUNCT
ap-1193	40	5	12	12	NUM
ap-1193	40	6	,	,	PUNCT
ap-1193	40	7	26	26	NUM
ap-1193	40	8	]	]	PUNCT
ap-1193	40	9	.	.	PUNCT
ap-1193	41	1	1.2	1.2	NUM
ap-1193	41	2	local	local	ADJ
ap-1193	41	3	observables	observable	NOUN
ap-1193	41	4	determine	determine	VERB
ap-1193	41	5	a	a	DET
ap-1193	41	6	compact	compact	ADJ
ap-1193	41	7	gauge	gauge	NOUN
ap-1193	41	8	group	group	NOUN
ap-1193	41	9	observables	observable	NOUN
ap-1193	41	10	(	(	PUNCT
ap-1193	41	11	unlike	unlike	ADP
ap-1193	41	12	charge	charge	NOUN
ap-1193	41	13	carrying	carry	VERB
ap-1193	41	14	fields	field	NOUN
ap-1193	41	15	)	)	PUNCT
ap-1193	41	16	are	be	AUX
ap-1193	41	17	left	leave	VERB
ap-1193	41	18	invariant	invariant	ADJ
ap-1193	41	19	by	by	ADP
ap-1193	41	20	(	(	PUNCT
ap-1193	41	21	global	global	ADJ
ap-1193	41	22	)	)	PUNCT
ap-1193	41	23	gauge	gauge	NOUN
ap-1193	41	24	transformations	transformation	NOUN
ap-1193	41	25	.	.	PUNCT
ap-1193	42	1	this	this	PRON
ap-1193	42	2	is	be	AUX
ap-1193	42	3	,	,	PUNCT
ap-1193	42	4	in	in	ADP
ap-1193	42	5	fact	fact	NOUN
ap-1193	42	6	,	,	PUNCT
ap-1193	42	7	part	part	NOUN
ap-1193	42	8	of	of	ADP
ap-1193	42	9	the	the	DET
ap-1193	42	10	definition	definition	NOUN
ap-1193	42	11	of	of	ADP
ap-1193	42	12	a	a	DET
ap-1193	42	13	gauge	gauge	NOUN
ap-1193	42	14	symmetry	symmetry	NOUN
ap-1193	42	15	or	or	CCONJ
ap-1193	42	16	a	a	DET
ap-1193	42	17	superselection	superselection	NOUN
ap-1193	42	18	rule	rule	NOUN
ap-1193	42	19	as	as	SCONJ
ap-1193	42	20	explained	explain	VERB
ap-1193	42	21	by	by	ADP
ap-1193	42	22	wick	wick	NOUN
ap-1193	42	23	,	,	PUNCT
ap-1193	42	24	wightman	wightman	NOUN
ap-1193	42	25	and	and	CCONJ
ap-1193	42	26	wigner	wigner	NOUN
ap-1193	42	27	[	[	X
ap-1193	42	28	45	45	NUM
ap-1193	42	29	]	]	PUNCT
ap-1193	42	30	.	.	PUNCT
ap-1193	43	1	it	it	PRON
ap-1193	43	2	required	require	VERB
ap-1193	43	3	the	the	DET
ap-1193	43	4	non	non	ADJ
ap-1193	43	5	-	-	ADJ
ap-1193	43	6	trivial	trivial	ADJ
ap-1193	43	7	vision	vision	NOUN
ap-1193	43	8	of	of	ADP
ap-1193	43	9	rudolf	rudolf	PROPN
ap-1193	43	10	haag	haag	PROPN
ap-1193	43	11	to	to	PART
ap-1193	43	12	predict	predict	VERB
ap-1193	43	13	in	in	ADP
ap-1193	43	14	the	the	DET
ap-1193	43	15	1960	1960	NUM
ap-1193	43	16	’s	’s	NOUN
ap-1193	43	17	that	that	SCONJ
ap-1193	43	18	a	a	DET
ap-1193	43	19	local	local	ADJ
ap-1193	43	20	net	net	NOUN
ap-1193	43	21	of	of	ADP
ap-1193	43	22	obsevable	obsevable	ADJ
ap-1193	43	23	algebras	algebra	NOUN
ap-1193	43	24	should	should	AUX
ap-1193	43	25	determine	determine	VERB
ap-1193	43	26	the	the	DET
ap-1193	43	27	compact	compact	ADJ
ap-1193	43	28	gauge	gauge	NOUN
ap-1193	43	29	group	group	NOUN
ap-1193	43	30	that	that	PRON
ap-1193	43	31	governs	govern	VERB
ap-1193	43	32	the	the	DET
ap-1193	43	33	structure	structure	NOUN
ap-1193	43	34	of	of	ADP
ap-1193	43	35	its	its	PRON
ap-1193	43	36	superselection	superselection	NOUN
ap-1193	43	37	sectors	sector	NOUN
ap-1193	43	38	(	(	PUNCT
ap-1193	43	39	for	for	ADP
ap-1193	43	40	a	a	DET
ap-1193	43	41	review	review	NOUN
ap-1193	43	42	and	and	CCONJ
ap-1193	43	43	references	reference	NOUN
ap-1193	43	44	to	to	ADP
ap-1193	43	45	the	the	DET
ap-1193	43	46	original	original	ADJ
ap-1193	43	47	work	work	NOUN
ap-1193	43	48	–	–	PUNCT
ap-1193	43	49	see	see	VERB
ap-1193	43	50	[	[	X
ap-1193	43	51	14	14	NUM
ap-1193	43	52	]	]	NUM
ap-1193	43	53	)	)	PUNCT
ap-1193	43	54	.	.	PUNCT
ap-1193	44	1	it	it	PRON
ap-1193	44	2	took	take	VERB
ap-1193	44	3	over	over	ADP
ap-1193	44	4	20	20	NUM
ap-1193	44	5	years	year	NOUN
ap-1193	44	6	and	and	CCONJ
ap-1193	44	7	the	the	DET
ap-1193	44	8	courage	courage	NOUN
ap-1193	44	9	and	and	CCONJ
ap-1193	44	10	dedication	dedication	NOUN
ap-1193	44	11	of	of	ADP
ap-1193	44	12	haag	haag	PROPN
ap-1193	44	13	’s	’s	PART
ap-1193	44	14	(	(	PUNCT
ap-1193	44	15	then	then	ADV
ap-1193	44	16	)	)	PUNCT
ap-1193	44	17	young	young	ADJ
ap-1193	44	18	collaborators	collaborator	NOUN
ap-1193	44	19	,	,	PUNCT
ap-1193	44	20	doplicher	doplicher	NOUN
ap-1193	44	21	and	and	CCONJ
ap-1193	44	22	roberts	roberts	PROPN
ap-1193	45	1	[	[	X
ap-1193	45	2	8	8	NUM
ap-1193	45	3	]	]	PUNCT
ap-1193	45	4	to	to	PART
ap-1193	45	5	carry	carry	VERB
ap-1193	45	6	out	out	ADP
ap-1193	45	7	this	this	DET
ap-1193	45	8	program	program	NOUN
ap-1193	45	9	to	to	ADP
ap-1193	45	10	completion	completion	NOUN
ap-1193	45	11	.	.	PUNCT
ap-1193	46	1	they	they	PRON
ap-1193	46	2	proved	prove	VERB
ap-1193	46	3	that	that	SCONJ
ap-1193	46	4	all	all	DET
ap-1193	46	5	superselection	superselection	NOUN
ap-1193	46	6	sectors	sector	NOUN
ap-1193	46	7	of	of	ADP
ap-1193	46	8	a	a	DET
ap-1193	46	9	local	local	ADJ
ap-1193	46	10	qft	qft	NOUN
ap-1193	46	11	a	a	PRON
ap-1193	46	12	with	with	ADP
ap-1193	46	13	a	a	DET
ap-1193	46	14	mass	mass	ADJ
ap-1193	46	15	gap	gap	NOUN
ap-1193	46	16	are	be	AUX
ap-1193	46	17	contained	contain	VERB
ap-1193	46	18	in	in	ADP
ap-1193	46	19	the	the	DET
ap-1193	46	20	vacuum	vacuum	NOUN
ap-1193	46	21	representation	representation	NOUN
ap-1193	46	22	of	of	ADP
ap-1193	46	23	a	a	DET
ap-1193	46	24	canonically	canonically	ADV
ap-1193	46	25	associated	associate	VERB
ap-1193	46	26	(	(	PUNCT
ap-1193	46	27	graded	grade	VERB
ap-1193	46	28	local	local	ADJ
ap-1193	46	29	)	)	PUNCT
ap-1193	46	30	field	field	NOUN
ap-1193	46	31	extension	extension	NOUN
ap-1193	46	32	e	e	NOUN
ap-1193	46	33	,	,	PUNCT
ap-1193	46	34	and	and	CCONJ
ap-1193	46	35	they	they	PRON
ap-1193	46	36	are	be	AUX
ap-1193	46	37	in	in	ADP
ap-1193	46	38	a	a	DET
ap-1193	46	39	one	one	NUM
ap-1193	46	40	-	-	PUNCT
ap-1193	46	41	to	to	ADP
ap-1193	46	42	-	-	PUNCT
ap-1193	46	43	one	one	NUM
ap-1193	46	44	correspondence	correspondence	NOUN
ap-1193	46	45	with	with	ADP
ap-1193	46	46	the	the	DET
ap-1193	46	47	unitary	unitary	ADJ
ap-1193	46	48	irreducible	irreducible	ADJ
ap-1193	46	49	representations	representation	NOUN
ap-1193	46	50	(	(	PUNCT
ap-1193	46	51	ir	ir	NOUN
ap-1193	46	52	)	)	PUNCT
ap-1193	46	53	of	of	ADP
ap-1193	46	54	a	a	DET
ap-1193	46	55	compact	compact	ADJ
ap-1193	46	56	gauge	gauge	NOUN
ap-1193	46	57	group	group	NOUN
ap-1193	46	58	g	g	PROPN
ap-1193	46	59	of	of	ADP
ap-1193	46	60	internal	internal	ADJ
ap-1193	46	61	symmetries	symmetry	NOUN
ap-1193	46	62	of	of	ADP
ap-1193	46	63	e	e	PROPN
ap-1193	46	64	,	,	PUNCT
ap-1193	46	65	so	so	SCONJ
ap-1193	46	66	that	that	SCONJ
ap-1193	46	67	a	a	DET
ap-1193	46	68	consists	consist	NOUN
ap-1193	46	69	of	of	ADP
ap-1193	46	70	the	the	DET
ap-1193	46	71	fixed	fix	VERB
ap-1193	46	72	points	point	NOUN
ap-1193	46	73	of	of	ADP
ap-1193	46	74	e	e	PROPN
ap-1193	46	75	under	under	ADP
ap-1193	46	76	g.	g.	PROPN
ap-1193	46	77	the	the	DET
ap-1193	46	78	pair	pair	NOUN
ap-1193	46	79	(	(	PUNCT
ap-1193	46	80	a	a	DET
ap-1193	46	81	,	,	PUNCT
ap-1193	46	82	g	g	NOUN
ap-1193	46	83	)	)	PUNCT
ap-1193	46	84	in	in	ADP
ap-1193	46	85	e	e	NOUN
ap-1193	46	86	provides	provide	VERB
ap-1193	46	87	a	a	DET
ap-1193	46	88	general	general	ADJ
ap-1193	46	89	realization	realization	NOUN
ap-1193	46	90	of	of	ADP
ap-1193	46	91	a	a	DET
ap-1193	46	92	dual	dual	ADJ
ap-1193	46	93	pair	pair	NOUN
ap-1193	46	94	in	in	ADP
ap-1193	46	95	a	a	DET
ap-1193	46	96	local	local	ADJ
ap-1193	46	97	quantu	quantu	NOUN
ap-1193	46	98	theory	theory	NOUN
ap-1193	46	99	.	.	PUNCT
ap-1193	47	1	2	2	NUM
ap-1193	47	2	how	how	SCONJ
ap-1193	47	3	do	do	AUX
ap-1193	47	4	2d	2d	NUM
ap-1193	47	5	cft	cft	NOUN
ap-1193	47	6	methods	method	NOUN
ap-1193	47	7	work	work	VERB
ap-1193	47	8	in	in	ADP
ap-1193	47	9	higher	high	ADJ
ap-1193	47	10	dimensions	dimension	NOUN
ap-1193	47	11	?	?	PUNCT
ap-1193	48	1	a	a	DET
ap-1193	48	2	number	number	NOUN
ap-1193	48	3	of	of	ADP
ap-1193	48	4	reasons	reason	NOUN
ap-1193	48	5	are	be	AUX
ap-1193	48	6	given	give	VERB
ap-1193	48	7	why	why	SCONJ
ap-1193	48	8	2	2	NUM
ap-1193	48	9	-	-	ADJ
ap-1193	48	10	dimensional	dimensional	ADJ
ap-1193	48	11	conformal	conformal	ADJ
ap-1193	48	12	field	field	NOUN
ap-1193	48	13	theory	theory	NOUN
ap-1193	48	14	is	be	AUX
ap-1193	48	15	,	,	PUNCT
ap-1193	48	16	in	in	ADP
ap-1193	48	17	a	a	DET
ap-1193	48	18	way	way	NOUN
ap-1193	48	19	,	,	PUNCT
ap-1193	48	20	exceptional	exceptional	ADJ
ap-1193	48	21	so	so	SCONJ
ap-1193	48	22	that	that	SCONJ
ap-1193	48	23	extending	extend	VERB
ap-1193	48	24	its	its	PRON
ap-1193	48	25	methods	method	NOUN
ap-1193	48	26	to	to	ADP
ap-1193	48	27	higher	high	ADJ
ap-1193	48	28	dimensions	dimension	NOUN
ap-1193	48	29	appears	appear	VERB
ap-1193	48	30	to	to	PART
ap-1193	48	31	be	be	AUX
ap-1193	48	32	hopeless	hopeless	ADJ
ap-1193	48	33	.	.	PUNCT
ap-1193	49	1	1	1	X
ap-1193	49	2	.	.	X
ap-1193	49	3	the	the	DET
ap-1193	49	4	2d	2d	PROPN
ap-1193	49	5	conformal	conformal	NOUN
ap-1193	49	6	group	group	NOUN
ap-1193	49	7	is	be	AUX
ap-1193	49	8	infinite	infinite	ADJ
ap-1193	49	9	dimensional	dimensional	ADJ
ap-1193	49	10	:	:	PUNCT
ap-1193	49	11	it	it	PRON
ap-1193	49	12	is	be	AUX
ap-1193	49	13	the	the	DET
ap-1193	49	14	direct	direct	ADJ
ap-1193	49	15	product	product	NOUN
ap-1193	49	16	of	of	ADP
ap-1193	49	17	the	the	DET
ap-1193	49	18	diffeomorphism	diffeomorphism	NOUN
ap-1193	49	19	groups	group	NOUN
ap-1193	49	20	of	of	ADP
ap-1193	49	21	the	the	DET
ap-1193	49	22	left	left	NOUN
ap-1193	49	23	and	and	CCONJ
ap-1193	49	24	right	right	ADJ
ap-1193	49	25	(	(	PUNCT
ap-1193	49	26	compactified	compactified	ADJ
ap-1193	49	27	)	)	PUNCT
ap-1193	49	28	light	light	ADJ
ap-1193	49	29	rays	ray	NOUN
ap-1193	49	30	.	.	PUNCT
ap-1193	50	1	(	(	PUNCT
ap-1193	50	2	in	in	ADP
ap-1193	50	3	the	the	DET
ap-1193	50	4	euclidean	euclidean	ADJ
ap-1193	50	5	picture	picture	NOUN
ap-1193	50	6	it	it	PRON
ap-1193	50	7	is	be	AUX
ap-1193	50	8	the	the	DET
ap-1193	50	9	group	group	NOUN
ap-1193	50	10	of	of	ADP
ap-1193	50	11	analytic	analytic	ADJ
ap-1193	50	12	and	and	CCONJ
ap-1193	50	13	antianalytic	antianalytic	ADJ
ap-1193	50	14	conformal	conformal	NOUN
ap-1193	50	15	mappings	mapping	NOUN
ap-1193	50	16	.	.	PUNCT
ap-1193	50	17	)	)	PUNCT
ap-1193	51	1	by	by	ADP
ap-1193	51	2	contrast	contrast	NOUN
ap-1193	51	3	,	,	PUNCT
ap-1193	51	4	for	for	ADP
ap-1193	51	5	d	d	PROPN
ap-1193	51	6	>	>	X
ap-1193	51	7	2	2	NUM
ap-1193	51	8	,	,	PUNCT
ap-1193	51	9	according	accord	VERB
ap-1193	51	10	to	to	ADP
ap-1193	51	11	the	the	DET
ap-1193	51	12	liouville	liouville	NOUN
ap-1193	51	13	theorem	theorem	PROPN
ap-1193	51	14	,	,	PUNCT
ap-1193	51	15	the	the	DET
ap-1193	51	16	quantum	quantum	ADJ
ap-1193	51	17	mechanical	mechanical	ADJ
ap-1193	51	18	conformal	conformal	NOUN
ap-1193	51	19	group	group	NOUN
ap-1193	51	20	in	in	ADP
ap-1193	51	21	d	d	PROPN
ap-1193	51	22	space	space	NOUN
ap-1193	51	23	-	-	PUNCT
ap-1193	51	24	time	time	NOUN
ap-1193	51	25	dimensions	dimension	NOUN
ap-1193	51	26	is	be	AUX
ap-1193	51	27	finite	finite	ADJ
ap-1193	51	28	(	(	PUNCT
ap-1193	51	29	in	in	ADP
ap-1193	51	30	fact	fact	NOUN
ap-1193	51	31	,	,	PUNCT
ap-1193	51	32	(	(	PUNCT
ap-1193	51	33	d	d	X
ap-1193	51	34	+	+	NOUN
ap-1193	51	35	1)(d	1)(d	NUM
ap-1193	51	36	+	+	CCONJ
ap-1193	51	37	2	2	NUM
ap-1193	51	38	)	)	SYM
ap-1193	51	39	2	2	NUM
ap-1193	51	40	)	)	PUNCT
ap-1193	51	41	-dimensional	-dimensional	NOUN
ap-1193	51	42	:	:	PUNCT
ap-1193	51	43	it	it	PRON
ap-1193	51	44	is	be	AUX
ap-1193	51	45	(	(	PUNCT
ap-1193	51	46	a	a	DET
ap-1193	51	47	covering	covering	NOUN
ap-1193	51	48	of	of	ADP
ap-1193	51	49	)	)	PUNCT
ap-1193	51	50	the	the	DET
ap-1193	51	51	spin	spin	NOUN
ap-1193	51	52	group	group	NOUN
ap-1193	51	53	spin(d	spin(d	VERB
ap-1193	51	54	,	,	PUNCT
ap-1193	51	55	2	2	NUM
ap-1193	51	56	)	)	PUNCT
ap-1193	51	57	.	.	PUNCT
ap-1193	52	1	2	2	X
ap-1193	52	2	.	.	X
ap-1193	52	3	the	the	DET
ap-1193	52	4	representation	representation	NOUN
ap-1193	52	5	theory	theory	NOUN
ap-1193	52	6	of	of	ADP
ap-1193	52	7	affine	affine	PROPN
ap-1193	52	8	kac	kac	PROPN
ap-1193	52	9	-	-	PUNCT
ap-1193	52	10	moody	moody	PROPN
ap-1193	52	11	algebras	algebra	NOUN
ap-1193	53	1	[	[	X
ap-1193	53	2	20	20	NUM
ap-1193	53	3	]	]	PUNCT
ap-1193	53	4	and	and	CCONJ
ap-1193	53	5	of	of	ADP
ap-1193	53	6	the	the	DET
ap-1193	53	7	virasoro	virasoro	NOUN
ap-1193	53	8	algebra	algebra	PROPN
ap-1193	54	1	[	[	X
ap-1193	54	2	23	23	NUM
ap-1193	54	3	]	]	PUNCT
ap-1193	54	4	plays	play	VERB
ap-1193	54	5	a	a	DET
ap-1193	54	6	crucial	crucial	ADJ
ap-1193	54	7	role	role	NOUN
ap-1193	54	8	in	in	ADP
ap-1193	54	9	constructing	construct	VERB
ap-1193	54	10	soluble	soluble	ADJ
ap-1193	54	11	2d	2d	NOUN
ap-1193	54	12	models	model	NOUN
ap-1193	54	13	of	of	ADP
ap-1193	54	14	(	(	PUNCT
ap-1193	54	15	rational	rational	ADJ
ap-1193	54	16	)	)	PUNCT
ap-1193	54	17	cft	cft	NOUN
ap-1193	54	18	.	.	PUNCT
ap-1193	55	1	there	there	PRON
ap-1193	55	2	are	be	VERB
ap-1193	55	3	,	,	PUNCT
ap-1193	55	4	on	on	ADP
ap-1193	55	5	the	the	DET
ap-1193	55	6	other	other	ADJ
ap-1193	55	7	hand	hand	NOUN
ap-1193	55	8	,	,	PUNCT
ap-1193	55	9	no	no	DET
ap-1193	55	10	local	local	ADJ
ap-1193	55	11	lie	lie	NOUN
ap-1193	55	12	fields	field	NOUN
ap-1193	55	13	in	in	ADP
ap-1193	55	14	higher	high	ADJ
ap-1193	55	15	dimensions	dimension	NOUN
ap-1193	55	16	:	:	PUNCT
ap-1193	55	17	after	after	ADP
ap-1193	55	18	an	an	DET
ap-1193	55	19	inconclusive	inconclusive	ADJ
ap-1193	55	20	attempt	attempt	NOUN
ap-1193	55	21	by	by	ADP
ap-1193	55	22	robinson	robinson	PROPN
ap-1193	56	1	[	[	X
ap-1193	56	2	39	39	NUM
ap-1193	56	3	]	]	PUNCT
ap-1193	56	4	(	(	PUNCT
ap-1193	56	5	criticized	criticize	VERB
ap-1193	56	6	in	in	ADP
ap-1193	56	7	[	[	X
ap-1193	56	8	28	28	NUM
ap-1193	56	9	]	]	PUNCT
ap-1193	56	10	)	)	PUNCT
ap-1193	56	11	this	this	PRON
ap-1193	56	12	was	be	AUX
ap-1193	56	13	proven	prove	VERB
ap-1193	56	14	for	for	ADP
ap-1193	56	15	scalar	scalar	ADJ
ap-1193	56	16	fields	field	NOUN
ap-1193	56	17	by	by	ADP
ap-1193	56	18	baumann	baumann	PROPN
ap-1193	57	1	[	[	X
ap-1193	57	2	4	4	NUM
ap-1193	57	3	]	]	PUNCT
ap-1193	57	4	.	.	PUNCT
ap-1193	58	1	3	3	X
ap-1193	58	2	.	.	X
ap-1193	58	3	the	the	DET
ap-1193	58	4	light	light	ADJ
ap-1193	58	5	cone	cone	NOUN
ap-1193	58	6	in	in	ADP
ap-1193	58	7	two	two	NUM
ap-1193	58	8	dimensions	dimension	NOUN
ap-1193	58	9	is	be	AUX
ap-1193	58	10	the	the	DET
ap-1193	58	11	direct	direct	ADJ
ap-1193	58	12	product	product	NOUN
ap-1193	58	13	of	of	ADP
ap-1193	58	14	two	two	NUM
ap-1193	58	15	light	light	ADJ
ap-1193	58	16	rays	ray	NOUN
ap-1193	58	17	.	.	PUNCT
ap-1193	59	1	this	this	DET
ap-1193	59	2	geometric	geometric	ADJ
ap-1193	59	3	fact	fact	NOUN
ap-1193	59	4	is	be	AUX
ap-1193	59	5	the	the	DET
ap-1193	59	6	basis	basis	NOUN
ap-1193	59	7	of	of	ADP
ap-1193	59	8	splitting	split	VERB
ap-1193	59	9	2d	2d	NUM
ap-1193	59	10	variables	variable	NOUN
ap-1193	59	11	into	into	ADP
ap-1193	59	12	rightand	rightand	ADJ
ap-1193	59	13	left	leave	VERB
ap-1193	59	14	-	-	PUNCT
ap-1193	59	15	movers	mover	NOUN
ap-1193	59	16	’	'	PUNCT
ap-1193	59	17	chiral	chiral	ADJ
ap-1193	59	18	variables	variable	NOUN
ap-1193	59	19	.	.	PUNCT
ap-1193	60	1	no	no	DET
ap-1193	60	2	such	such	ADJ
ap-1193	60	3	splitting	splitting	NOUN
ap-1193	60	4	seems	seem	VERB
ap-1193	60	5	to	to	PART
ap-1193	60	6	be	be	AUX
ap-1193	60	7	available	available	ADJ
ap-1193	60	8	in	in	ADP
ap-1193	60	9	higher	high	ADJ
ap-1193	60	10	dimensions	dimension	NOUN
ap-1193	60	11	.	.	PUNCT
ap-1193	61	1	4	4	X
ap-1193	61	2	.	.	X
ap-1193	61	3	there	there	PRON
ap-1193	61	4	are	be	VERB
ap-1193	61	5	chiral	chiral	ADJ
ap-1193	61	6	algebras	algebra	NOUN
ap-1193	61	7	in	in	ADP
ap-1193	61	8	2d	2d	PROPN
ap-1193	61	9	cft	cft	NOUN
ap-1193	61	10	whose	whose	DET
ap-1193	61	11	local	local	ADJ
ap-1193	61	12	currents	current	NOUN
ap-1193	61	13	satisfy	satisfy	VERB
ap-1193	61	14	the	the	DET
ap-1193	61	15	axioms	axiom	NOUN
ap-1193	61	16	of	of	ADP
ap-1193	61	17	vertex	vertex	NOUN
ap-1193	61	18	algebras1	algebras1	NOUN
ap-1193	61	19	and	and	CCONJ
ap-1193	61	20	have	have	VERB
ap-1193	61	21	rational	rational	ADJ
ap-1193	61	22	correlation	correlation	NOUN
ap-1193	61	23	functions	function	NOUN
ap-1193	61	24	.	.	PUNCT
ap-1193	62	1	it	it	PRON
ap-1193	62	2	was	be	AUX
ap-1193	62	3	believed	believe	VERB
ap-1193	62	4	for	for	ADP
ap-1193	62	5	a	a	DET
ap-1193	62	6	long	long	ADJ
ap-1193	62	7	time	time	NOUN
ap-1193	62	8	that	that	PRON
ap-1193	62	9	they	they	PRON
ap-1193	62	10	have	have	VERB
ap-1193	62	11	no	no	DET
ap-1193	62	12	physically	physically	ADV
ap-1193	62	13	interesting	interesting	ADJ
ap-1193	62	14	higher	high	ADJ
ap-1193	62	15	dimensional	dimensional	ADJ
ap-1193	62	16	cft	cft	NOUN
ap-1193	62	17	analogue	analogue	NOUN
ap-1193	62	18	.	.	PUNCT
ap-1193	63	1	5	5	X
ap-1193	63	2	.	.	X
ap-1193	63	3	furthermore	furthermore	ADV
ap-1193	63	4	,	,	PUNCT
ap-1193	63	5	the	the	DET
ap-1193	63	6	chiral	chiral	ADJ
ap-1193	63	7	currents	current	NOUN
ap-1193	63	8	in	in	ADP
ap-1193	63	9	a	a	DET
ap-1193	63	10	2d	2d	NUM
ap-1193	63	11	cft	cft	NOUN
ap-1193	63	12	on	on	ADP
ap-1193	63	13	a	a	DET
ap-1193	63	14	torus	torus	NOUN
ap-1193	63	15	have	have	VERB
ap-1193	63	16	elliptic	elliptic	ADJ
ap-1193	63	17	correlation	correlation	NOUN
ap-1193	63	18	functions	function	NOUN
ap-1193	63	19	[	[	X
ap-1193	63	20	46	46	NUM
ap-1193	63	21	]	]	PUNCT
ap-1193	63	22	,	,	PUNCT
ap-1193	63	23	the	the	DET
ap-1193	63	24	1	1	NUM
ap-1193	63	25	-	-	PUNCT
ap-1193	63	26	point	point	NOUN
ap-1193	63	27	function	function	NOUN
ap-1193	63	28	of	of	ADP
ap-1193	63	29	the	the	DET
ap-1193	63	30	stress	stress	NOUN
ap-1193	63	31	energy	energy	NOUN
ap-1193	63	32	tensor	tensor	NOUN
ap-1193	63	33	appearing	appear	VERB
ap-1193	63	34	as	as	ADP
ap-1193	63	35	a	a	DET
ap-1193	63	36	modular	modular	ADJ
ap-1193	63	37	form	form	NOUN
ap-1193	63	38	(	(	PUNCT
ap-1193	63	39	these	these	PRON
ap-1193	63	40	can	can	AUX
ap-1193	63	41	be	be	AUX
ap-1193	63	42	also	also	ADV
ap-1193	63	43	interpreted	interpret	VERB
ap-1193	63	44	as	as	ADP
ap-1193	63	45	finite	finite	ADJ
ap-1193	63	46	temperature	temperature	NOUN
ap-1193	63	47	correlation	correlation	NOUN
ap-1193	63	48	functions	function	NOUN
ap-1193	63	49	and	and	CCONJ
ap-1193	63	50	a	a	DET
ap-1193	63	51	thermal	thermal	ADJ
ap-1193	63	52	energy	energy	NOUN
ap-1193	63	53	mean	mean	NOUN
ap-1193	63	54	value	value	NOUN
ap-1193	63	55	on	on	ADP
ap-1193	63	56	the	the	DET
ap-1193	63	57	riemann	riemann	PROPN
ap-1193	63	58	sphere	sphere	PROPN
ap-1193	63	59	)	)	PUNCT
ap-1193	63	60	.	.	PUNCT
ap-1193	64	1	again	again	ADV
ap-1193	64	2	,	,	PUNCT
ap-1193	64	3	there	there	PRON
ap-1193	64	4	seemed	seem	VERB
ap-1193	64	5	to	to	PART
ap-1193	64	6	be	be	AUX
ap-1193	64	7	no	no	DET
ap-1193	64	8	good	good	ADJ
ap-1193	64	9	reason	reason	NOUN
ap-1193	64	10	to	to	PART
ap-1193	64	11	expect	expect	VERB
ap-1193	64	12	higher	high	ADJ
ap-1193	64	13	dimensional	dimensional	ADJ
ap-1193	64	14	analogues	analogue	NOUN
ap-1193	64	15	of	of	ADP
ap-1193	64	16	these	these	DET
ap-1193	64	17	attractive	attractive	ADJ
ap-1193	64	18	properties	property	NOUN
ap-1193	64	19	.	.	PUNCT
ap-1193	65	1	we	we	PRON
ap-1193	65	2	shall	shall	AUX
ap-1193	65	3	argue	argue	VERB
ap-1193	65	4	that	that	SCONJ
ap-1193	65	5	each	each	PRON
ap-1193	65	6	of	of	ADP
ap-1193	65	7	the	the	DET
ap-1193	65	8	listed	list	VERB
ap-1193	65	9	features	feature	NOUN
ap-1193	65	10	of	of	ADP
ap-1193	65	11	2d	2d	PROPN
ap-1193	65	12	cft	cft	NOUN
ap-1193	65	13	does	do	AUX
ap-1193	65	14	have	have	VERB
ap-1193	65	15	,	,	PUNCT
ap-1193	65	16	when	when	SCONJ
ap-1193	65	17	properly	properly	ADV
ap-1193	65	18	understood	understand	VERB
ap-1193	65	19	,	,	PUNCT
ap-1193	65	20	a	a	DET
ap-1193	65	21	higher	high	ADJ
ap-1193	65	22	dimensional	dimensional	ADJ
ap-1193	65	23	counterpart	counterpart	NOUN
ap-1193	65	24	.	.	PUNCT
ap-1193	66	1	1	1	X
ap-1193	66	2	.	.	X
ap-1193	66	3	the	the	DET
ap-1193	66	4	presence	presence	NOUN
ap-1193	66	5	of	of	ADP
ap-1193	66	6	a	a	DET
ap-1193	66	7	conformal	conformal	ADJ
ap-1193	66	8	anomaly	anomaly	NOUN
ap-1193	66	9	(	(	PUNCT
ap-1193	66	10	a	a	DET
ap-1193	66	11	non	non	ADJ
ap-1193	66	12	-	-	ADJ
ap-1193	66	13	zero	zero	NUM
ap-1193	66	14	virasoro	virasoro	NOUN
ap-1193	66	15	central	central	ADJ
ap-1193	66	16	charge	charge	NOUN
ap-1193	66	17	c	c	NOUN
ap-1193	66	18	)	)	PUNCT
ap-1193	66	19	tells	tell	VERB
ap-1193	66	20	us	we	PRON
ap-1193	66	21	that	that	SCONJ
ap-1193	66	22	the	the	DET
ap-1193	66	23	infinite	infinite	ADJ
ap-1193	66	24	conformal	conformal	NOUN
ap-1193	66	25	symmetry	symmetry	NOUN
ap-1193	66	26	in	in	ADP
ap-1193	66	27	1	1	NUM
ap-1193	66	28	+	+	SYM
ap-1193	66	29	1	1	NUM
ap-1193	66	30	dimension	dimension	NOUN
ap-1193	66	31	is	be	AUX
ap-1193	66	32	,	,	PUNCT
ap-1193	66	33	in	in	ADP
ap-1193	66	34	fact	fact	NOUN
ap-1193	66	35	,	,	PUNCT
ap-1193	66	36	broken	break	VERB
ap-1193	66	37	.	.	PUNCT
ap-1193	67	1	what	what	PRON
ap-1193	67	2	is	be	AUX
ap-1193	67	3	actually	actually	ADV
ap-1193	67	4	used	use	VERB
ap-1193	67	5	in	in	ADP
ap-1193	67	6	2d	2d	NUM
ap-1193	67	7	cft	cft	NOUN
ap-1193	67	8	are	be	AUX
ap-1193	67	9	the	the	DET
ap-1193	67	10	(	(	PUNCT
ap-1193	67	11	conformal	conformal	NOUN
ap-1193	67	12	)	)	PUNCT
ap-1193	67	13	operator	operator	NOUN
ap-1193	67	14	product	product	NOUN
ap-1193	67	15	expansions	expansion	NOUN
ap-1193	67	16	(	(	PUNCT
ap-1193	67	17	opes	ope	NOUN
ap-1193	67	18	)	)	PUNCT
ap-1193	67	19	which	which	PRON
ap-1193	67	20	can	can	AUX
ap-1193	67	21	be	be	AUX
ap-1193	67	22	derived	derive	VERB
ap-1193	67	23	for	for	ADP
ap-1193	67	24	any	any	DET
ap-1193	67	25	d	d	NOUN
ap-1193	67	26	and	and	CCONJ
ap-1193	67	27	allow	allow	VERB
ap-1193	67	28	to	to	PART
ap-1193	67	29	extend	extend	VERB
ap-1193	67	30	the	the	DET
ap-1193	67	31	notion	notion	NOUN
ap-1193	67	32	of	of	ADP
ap-1193	67	33	a	a	DET
ap-1193	67	34	primary	primary	ADJ
ap-1193	67	35	field	field	NOUN
ap-1193	67	36	(	(	PUNCT
ap-1193	67	37	for	for	ADP
ap-1193	67	38	instance	instance	NOUN
ap-1193	67	39	with	with	ADP
ap-1193	67	40	respect	respect	NOUN
ap-1193	67	41	to	to	ADP
ap-1193	67	42	the	the	DET
ap-1193	67	43	stress	stress	NOUN
ap-1193	67	44	-	-	PUNCT
ap-1193	67	45	energy	energy	NOUN
ap-1193	67	46	tensor	tensor	NOUN
ap-1193	67	47	)	)	PUNCT
ap-1193	67	48	.	.	PUNCT
ap-1193	68	1	2	2	X
ap-1193	68	2	.	.	X
ap-1193	68	3	for	for	ADP
ap-1193	68	4	d	d	PROPN
ap-1193	68	5	=	=	SYM
ap-1193	68	6	4	4	NUM
ap-1193	68	7	,	,	PUNCT
ap-1193	68	8	infinite	infinite	ADJ
ap-1193	68	9	dimensional	dimensional	ADJ
ap-1193	68	10	lie	lie	NOUN
ap-1193	68	11	algebras	algebra	NOUN
ap-1193	68	12	are	be	AUX
ap-1193	68	13	generated	generate	VERB
ap-1193	68	14	by	by	ADP
ap-1193	68	15	bifields	bifield	NOUN
ap-1193	68	16	vij(x1	vij(x1	PROPN
ap-1193	68	17	,	,	PUNCT
ap-1193	68	18	x2	x2	PROPN
ap-1193	68	19	)	)	PUNCT
ap-1193	68	20	which	which	PRON
ap-1193	68	21	naturally	naturally	ADV
ap-1193	68	22	arise	arise	VERB
ap-1193	68	23	in	in	ADP
ap-1193	68	24	the	the	DET
ap-1193	68	25	ope	ope	NOUN
ap-1193	68	26	of	of	ADP
ap-1193	68	27	a	a	DET
ap-1193	68	28	(	(	PUNCT
ap-1193	68	29	finite	finite	PROPN
ap-1193	68	30	)	)	PUNCT
ap-1193	68	31	set	set	NOUN
ap-1193	68	32	of	of	ADP
ap-1193	68	33	(	(	PUNCT
ap-1193	68	34	say	say	INTJ
ap-1193	68	35	,	,	PUNCT
ap-1193	68	36	hermitean	hermitean	NOUN
ap-1193	68	37	,	,	PUNCT
ap-1193	68	38	scalar	scalar	ADJ
ap-1193	68	39	)	)	PUNCT
ap-1193	68	40	local	local	ADJ
ap-1193	68	41	fields	field	NOUN
ap-1193	68	42	φi	φi	ADP
ap-1193	68	43	of	of	ADP
ap-1193	68	44	dimension	dimension	NOUN
ap-1193	68	45	d	d	PROPN
ap-1193	68	46	(	(	PUNCT
ap-1193	68	47	>	>	X
ap-1193	68	48	1	1	NUM
ap-1193	68	49	):	):	PUNCT
ap-1193	68	50	(	(	PUNCT
ap-1193	68	51	x212	x212	NUM
ap-1193	68	52	)	)	PUNCT
ap-1193	68	53	d	d	NOUN
ap-1193	68	54	φi(x1)φj(x2	φi(x1)φj(x2	NOUN
ap-1193	68	55	)	)	PUNCT
ap-1193	69	1	=	=	SYM
ap-1193	69	2	nij	nij	NOUN
ap-1193	69	3	+	+	X
ap-1193	69	4	x212	x212	PROPN
ap-1193	70	1	vij(x1	vij(x1	ADJ
ap-1193	70	2	,	,	PUNCT
ap-1193	70	3	x2	x2	PROPN
ap-1193	70	4	)	)	PUNCT
ap-1193	70	5	+	+	ADJ
ap-1193	70	6	o((x212	o((x212	ADJ
ap-1193	70	7	)	)	PUNCT
ap-1193	70	8	2	2	NUM
ap-1193	70	9	)	)	PUNCT
ap-1193	71	1	,	,	PUNCT
ap-1193	71	2	x12	x12	NUM
ap-1193	71	3	=	=	SYM
ap-1193	71	4	x1	x1	PROPN
ap-1193	72	1	−	−	PUNCT
ap-1193	72	2	x2	x2	INTJ
ap-1193	72	3	,	,	PUNCT
ap-1193	72	4	x2	x2	PROPN
ap-1193	73	1	=	=	SYM
ap-1193	74	1	x2	x2	PROPN
ap-1193	75	1	−	−	NOUN
ap-1193	75	2	x0	x0	PROPN
ap-1193	75	3	2	2	NUM
ap-1193	75	4	,	,	PUNCT
ap-1193	75	5	(	(	PUNCT
ap-1193	75	6	2.2	2.2	NUM
ap-1193	75	7	)	)	PUNCT
ap-1193	75	8	nij	nij	NOUN
ap-1193	75	9	=	=	PUNCT
ap-1193	75	10	nji	nji	PROPN
ap-1193	75	11	∈	∈	PROPN
ap-1193	75	12	r	r	NOUN
ap-1193	75	13	where	where	SCONJ
ap-1193	75	14	vij	vij	PROPN
ap-1193	75	15	are	be	AUX
ap-1193	75	16	defined	define	VERB
ap-1193	75	17	as	as	ADP
ap-1193	75	18	(	(	PUNCT
ap-1193	75	19	infinite	infinite	NOUN
ap-1193	75	20	)	)	PUNCT
ap-1193	75	21	sums	sum	NOUN
ap-1193	75	22	of	of	ADP
ap-1193	75	23	ope	ope	NOUN
ap-1193	75	24	contributions	contribution	NOUN
ap-1193	75	25	of	of	ADP
ap-1193	75	26	(	(	PUNCT
ap-1193	75	27	twist	twist	NOUN
ap-1193	75	28	two	two	NUM
ap-1193	75	29	)	)	PUNCT
ap-1193	75	30	conserved	conserve	VERB
ap-1193	75	31	local	local	ADJ
ap-1193	75	32	tensor	tensor	NOUN
ap-1193	75	33	currents	current	NOUN
ap-1193	75	34	(	(	PUNCT
ap-1193	75	35	and	and	CCONJ
ap-1193	75	36	the	the	DET
ap-1193	75	37	real	real	ADJ
ap-1193	75	38	symmetric	symmetric	ADJ
ap-1193	75	39	matrix	matrix	NOUN
ap-1193	75	40	(	(	PUNCT
ap-1193	75	41	nij	nij	PROPN
ap-1193	75	42	)	)	PUNCT
ap-1193	75	43	is	be	AUX
ap-1193	75	44	positive	positive	ADJ
ap-1193	75	45	definite	definite	ADJ
ap-1193	75	46	)	)	PUNCT
ap-1193	75	47	.	.	PUNCT
ap-1193	76	1	we	we	PRON
ap-1193	76	2	say	say	VERB
ap-1193	76	3	more	more	ADJ
ap-1193	76	4	on	on	ADP
ap-1193	76	5	this	this	PRON
ap-1193	76	6	in	in	ADP
ap-1193	76	7	what	what	PRON
ap-1193	76	8	follows	follow	VERB
ap-1193	76	9	(	(	PUNCT
ap-1193	76	10	reviewing	review	VERB
ap-1193	76	11	results	result	NOUN
ap-1193	76	12	of	of	ADP
ap-1193	76	13	[	[	X
ap-1193	76	14	33	33	NUM
ap-1193	76	15	,	,	PUNCT
ap-1193	76	16	34	34	NUM
ap-1193	76	17	,	,	PUNCT
ap-1193	76	18	35	35	NUM
ap-1193	76	19	,	,	PUNCT
ap-1193	76	20	36	36	NUM
ap-1193	76	21	,	,	PUNCT
ap-1193	76	22	2	2	NUM
ap-1193	76	23	,	,	PUNCT
ap-1193	76	24	3	3	NUM
ap-1193	76	25	]	]	NUM
ap-1193	76	26	)	)	PUNCT
ap-1193	76	27	.	.	PUNCT
ap-1193	77	1	3	3	X
ap-1193	77	2	.	.	X
ap-1193	77	3	we	we	PRON
ap-1193	77	4	shall	shall	AUX
ap-1193	77	5	exhibit	exhibit	VERB
ap-1193	77	6	a	a	DET
ap-1193	77	7	factorization	factorization	NOUN
ap-1193	77	8	of	of	ADP
ap-1193	77	9	higher	high	ADJ
ap-1193	77	10	dimensional	dimensional	ADJ
ap-1193	77	11	intervals	interval	NOUN
ap-1193	77	12	by	by	ADP
ap-1193	77	13	using	use	VERB
ap-1193	77	14	the	the	DET
ap-1193	77	15	following	follow	VERB
ap-1193	77	16	parametrization	parametrization	NOUN
ap-1193	77	17	of	of	ADP
ap-1193	77	18	the	the	DET
ap-1193	77	19	conformally	conformally	ADV
ap-1193	77	20	compactified	compactified	ADJ
ap-1193	77	21	space	space	NOUN
ap-1193	77	22	-	-	PUNCT
ap-1193	77	23	time	time	NOUN
ap-1193	77	24	(	(	PUNCT
ap-1193	77	25	[	[	X
ap-1193	77	26	43	43	NUM
ap-1193	77	27	,	,	PUNCT
ap-1193	77	28	42	42	NUM
ap-1193	77	29	,	,	PUNCT
ap-1193	77	30	37	37	NUM
ap-1193	77	31	,	,	PUNCT
ap-1193	77	32	38	38	NUM
ap-1193	77	33	]	]	PUNCT
ap-1193	77	34	):	):	PUNCT
ap-1193	77	35	1as	1as	NOUN
ap-1193	77	36	a	a	DET
ap-1193	77	37	mathematical	mathematical	ADJ
ap-1193	77	38	subject	subject	ADJ
ap-1193	77	39	vertex	vertex	NOUN
ap-1193	77	40	algebras	algebra	NOUN
ap-1193	77	41	were	be	AUX
ap-1193	77	42	anticipated	anticipate	VERB
ap-1193	77	43	by	by	ADP
ap-1193	77	44	i.	i.	PROPN
ap-1193	77	45	frenkel	frenkel	PROPN
ap-1193	77	46	and	and	CCONJ
ap-1193	77	47	v.	v.	ADP
ap-1193	77	48	kac	kac	PROPN
ap-1193	78	1	[	[	X
ap-1193	78	2	11	11	NUM
ap-1193	78	3	]	]	PUNCT
ap-1193	78	4	and	and	CCONJ
ap-1193	78	5	introduced	introduce	VERB
ap-1193	78	6	by	by	ADP
ap-1193	78	7	r.	r.	PROPN
ap-1193	78	8	borcherds	borcherd	NOUN
ap-1193	79	1	[	[	X
ap-1193	79	2	5	5	NUM
ap-1193	79	3	]	]	PUNCT
ap-1193	79	4	;	;	PUNCT
ap-1193	79	5	for	for	ADP
ap-1193	79	6	reviews	review	NOUN
ap-1193	79	7	and	and	CCONJ
ap-1193	79	8	further	further	ADJ
ap-1193	79	9	references	reference	NOUN
ap-1193	79	10	see	see	VERB
ap-1193	79	11	e.g.	e.g.	ADV
ap-1193	79	12	[	[	X
ap-1193	79	13	21	21	NUM
ap-1193	79	14	]	]	X
ap-1193	80	1	[	[	X
ap-1193	80	2	10	10	NUM
ap-1193	80	3	]	]	SYM
ap-1193	80	4	55	55	NUM
ap-1193	80	5	acta	acta	PROPN
ap-1193	80	6	polytechnica	polytechnica	PROPN
ap-1193	80	7	vol	vol	NOUN
ap-1193	80	8	.	.	PROPN
ap-1193	81	1	50	50	NUM
ap-1193	81	2	no	no	NOUN
ap-1193	81	3	.	.	PUNCT
ap-1193	82	1	3/2010	3/2010	NUM
ap-1193	82	2	m̄	m̄	NOUN
ap-1193	82	3	=	=	PUNCT
ap-1193	82	4	{	{	PUNCT
ap-1193	82	5	zα	zα	X
ap-1193	82	6	=	=	PUNCT
ap-1193	82	7	eit	eit	INTJ
ap-1193	83	1	uα	uα	PROPN
ap-1193	83	2	,	,	PUNCT
ap-1193	83	3	α	α	X
ap-1193	83	4	=	=	SYM
ap-1193	83	5	1	1	NUM
ap-1193	83	6	,	,	PUNCT
ap-1193	83	7	.	.	PUNCT
ap-1193	83	8	.	.	PUNCT
ap-1193	83	9	.	.	PUNCT
ap-1193	84	1	,	,	PUNCT
ap-1193	84	2	d	d	NOUN
ap-1193	84	3	;	;	PUNCT
ap-1193	84	4	(	(	PUNCT
ap-1193	84	5	2.3	2.3	NUM
ap-1193	84	6	)	)	PUNCT
ap-1193	84	7	t	t	PROPN
ap-1193	84	8	,	,	PUNCT
ap-1193	84	9	uα	uα	PROPN
ap-1193	84	10	∈	∈	PROPN
ap-1193	84	11	r	r	NOUN
ap-1193	84	12	;	;	PUNCT
ap-1193	84	13	u2	u2	PROPN
ap-1193	84	14	=	=	SYM
ap-1193	84	15	d∑	d∑	PROPN
ap-1193	84	16	α=1	α=1	X
ap-1193	84	17	u2α	u2α	NOUN
ap-1193	84	18	=	=	SYM
ap-1193	84	19	1	1	NUM
ap-1193	84	20	}	}	PUNCT
ap-1193	84	21	=	=	PUNCT
ap-1193	84	22	sd−1	sd−1	ADJ
ap-1193	84	23	×	×	NOUN
ap-1193	84	24	s1	s1	NOUN
ap-1193	84	25	{	{	PUNCT
ap-1193	84	26	1,−1	1,−1	PROPN
ap-1193	84	27	}	}	PUNCT
ap-1193	84	28	.	.	PUNCT
ap-1193	85	1	the	the	DET
ap-1193	85	2	real	real	ADJ
ap-1193	85	3	interval	interval	NOUN
ap-1193	85	4	between	between	ADP
ap-1193	85	5	two	two	NUM
ap-1193	85	6	points	point	NOUN
ap-1193	85	7	z1	z1	ADJ
ap-1193	85	8	=	=	SYM
ap-1193	85	9	eit1	eit1	NOUN
ap-1193	85	10	u1	u1	NOUN
ap-1193	85	11	,	,	PUNCT
ap-1193	85	12	z2	z2	PROPN
ap-1193	85	13	=	=	PUNCT
ap-1193	85	14	eit2	eit2	NOUN
ap-1193	85	15	u2	u2	NOUN
ap-1193	85	16	is	be	AUX
ap-1193	85	17	given	give	VERB
ap-1193	85	18	by	by	ADP
ap-1193	85	19	:	:	PUNCT
ap-1193	85	20	z212	z212	NUM
ap-1193	85	21	(	(	PUNCT
ap-1193	85	22	z	z	NOUN
ap-1193	85	23	2	2	NUM
ap-1193	85	24	1	1	NUM
ap-1193	85	25	z22	z22	NOUN
ap-1193	85	26	)	)	PUNCT
ap-1193	85	27	−1/2	−1/2	NOUN
ap-1193	85	28	=	=	SYM
ap-1193	85	29	2	2	NUM
ap-1193	85	30	(	(	PUNCT
ap-1193	85	31	cos	cos	PROPN
ap-1193	85	32	t12	t12	PROPN
ap-1193	85	33	−	−	PROPN
ap-1193	85	34	cosα	cosα	NOUN
ap-1193	85	35	)	)	PUNCT
ap-1193	85	36	=	=	PUNCT
ap-1193	86	1	(	(	PUNCT
ap-1193	86	2	2.4	2.4	NUM
ap-1193	86	3	)	)	PUNCT
ap-1193	86	4	−4	−4	X
ap-1193	86	5	sin	sin	NOUN
ap-1193	86	6	t+	t+	PUNCT
ap-1193	86	7	sin	sin	NOUN
ap-1193	86	8	t−	t−	PROPN
ap-1193	86	9	,	,	PUNCT
ap-1193	86	10	z12	z12	NUM
ap-1193	86	11	=	=	SYM
ap-1193	86	12	z1	z1	PROPN
ap-1193	86	13	−	−	PROPN
ap-1193	86	14	z2	z2	PROPN
ap-1193	86	15	t±	t±	X
ap-1193	86	16	=	=	SYM
ap-1193	86	17	1/2	1/2	NUM
ap-1193	86	18	(	(	PUNCT
ap-1193	86	19	t12	t12	PROPN
ap-1193	86	20	±	±	NUM
ap-1193	86	21	α	α	NOUN
ap-1193	86	22	)	)	PUNCT
ap-1193	86	23	,	,	PUNCT
ap-1193	86	24	(	(	PUNCT
ap-1193	86	25	2.5	2.5	NUM
ap-1193	86	26	)	)	PUNCT
ap-1193	86	27	u1	u1	NOUN
ap-1193	86	28	·	·	PUNCT
ap-1193	86	29	u2	u2	NOUN
ap-1193	86	30	=	=	PUNCT
ap-1193	86	31	cosα	cosα	PROPN
ap-1193	86	32	,	,	PUNCT
ap-1193	86	33	t12	t12	PROPN
ap-1193	86	34	=	=	PROPN
ap-1193	86	35	t1	t1	PROPN
ap-1193	86	36	−	−	PROPN
ap-1193	86	37	t2	t2	PROPN
ap-1193	86	38	.	.	PUNCT
ap-1193	87	1	thus	thus	ADV
ap-1193	87	2	t+	t+	VERB
ap-1193	87	3	and	and	CCONJ
ap-1193	87	4	t−	t−	PROPN
ap-1193	87	5	are	be	AUX
ap-1193	87	6	the	the	DET
ap-1193	87	7	compact	compact	ADJ
ap-1193	87	8	picture	picture	NOUN
ap-1193	87	9	counterparts	counterpart	NOUN
ap-1193	87	10	of	of	ADP
ap-1193	87	11	“	"	PUNCT
ap-1193	87	12	left	leave	VERB
ap-1193	87	13	”	"	PUNCT
ap-1193	87	14	and	and	CCONJ
ap-1193	87	15	“	"	PUNCT
ap-1193	87	16	right	right	ADJ
ap-1193	87	17	”	"	PUNCT
ap-1193	87	18	chiral	chiral	ADJ
ap-1193	87	19	variables	variable	NOUN
ap-1193	87	20	(	(	PUNCT
ap-1193	87	21	see	see	VERB
ap-1193	87	22	[	[	X
ap-1193	87	23	38	38	NUM
ap-1193	87	24	]	]	PUNCT
ap-1193	87	25	)	)	PUNCT
ap-1193	87	26	.	.	PUNCT
ap-1193	88	1	the	the	DET
ap-1193	88	2	factorization	factorization	NOUN
ap-1193	88	3	of	of	ADP
ap-1193	88	4	2d	2d	PROPN
ap-1193	88	5	cross	cross	NOUN
ap-1193	88	6	ratios	ratio	NOUN
ap-1193	88	7	into	into	ADP
ap-1193	88	8	chiral	chiral	ADJ
ap-1193	88	9	parts	part	NOUN
ap-1193	88	10	again	again	ADV
ap-1193	88	11	has	have	VERB
ap-1193	88	12	a	a	DET
ap-1193	88	13	higher	high	ADJ
ap-1193	88	14	dimensional	dimensional	ADJ
ap-1193	88	15	analogue	analogue	NOUN
ap-1193	88	16	[	[	X
ap-1193	88	17	7	7	NUM
ap-1193	88	18	]	]	X
ap-1193	88	19	:	:	PUNCT
ap-1193	88	20	s	s	X
ap-1193	88	21	:	:	PUNCT
ap-1193	88	22	=	=	NOUN
ap-1193	88	23	x212	x212	PUNCT
ap-1193	88	24	x234	x234	PUNCT
ap-1193	89	1	x213	x213	PUNCT
ap-1193	89	2	x224	x224	PUNCT
ap-1193	89	3	=	=	SYM
ap-1193	89	4	u+	u+	NUM
ap-1193	89	5	u−	u−	PROPN
ap-1193	89	6	,	,	PUNCT
ap-1193	89	7	(	(	PUNCT
ap-1193	89	8	2.6	2.6	NUM
ap-1193	89	9	)	)	PUNCT
ap-1193	89	10	t	t	NOUN
ap-1193	89	11	:	:	PUNCT
ap-1193	89	12	=	=	SYM
ap-1193	90	1	x214	x214	PUNCT
ap-1193	90	2	x223	x223	NUM
ap-1193	90	3	x213	x213	PUNCT
ap-1193	91	1	x224	x224	PUNCT
ap-1193	91	2	=	=	SYM
ap-1193	91	3	(	(	PUNCT
ap-1193	91	4	1−	1−	NUM
ap-1193	91	5	u+	u+	NOUN
ap-1193	91	6	)	)	PUNCT
ap-1193	91	7	(	(	PUNCT
ap-1193	91	8	1−	1−	NUM
ap-1193	91	9	u−	u−	PROPN
ap-1193	91	10	)	)	PUNCT
ap-1193	91	11	,	,	PUNCT
ap-1193	91	12	xij	xij	X
ap-1193	91	13	=	=	PUNCT
ap-1193	91	14	xi	xi	PROPN
ap-1193	91	15	−	−	PROPN
ap-1193	91	16	xj	xj	PROPN
ap-1193	91	17	which	which	PRON
ap-1193	91	18	yields	yield	VERB
ap-1193	91	19	a	a	DET
ap-1193	91	20	separation	separation	NOUN
ap-1193	91	21	of	of	ADP
ap-1193	91	22	variables	variable	NOUN
ap-1193	91	23	in	in	ADP
ap-1193	91	24	the	the	DET
ap-1193	91	25	d’alembert	d’alembert	NOUN
ap-1193	91	26	equation	equation	NOUN
ap-1193	91	27	(	(	PUNCT
ap-1193	91	28	cf	cf	NOUN
ap-1193	91	29	.	.	PUNCT
ap-1193	91	30	remark	remark	PROPN
ap-1193	91	31	2.1	2.1	NUM
ap-1193	91	32	)	)	PUNCT
ap-1193	91	33	one	one	PRON
ap-1193	91	34	should	should	AUX
ap-1193	91	35	,	,	PUNCT
ap-1193	91	36	in	in	ADP
ap-1193	91	37	fact	fact	NOUN
ap-1193	91	38	,	,	PUNCT
ap-1193	91	39	be	be	AUX
ap-1193	91	40	able	able	ADJ
ap-1193	91	41	to	to	PART
ap-1193	91	42	derive	derive	VERB
ap-1193	91	43	the	the	DET
ap-1193	91	44	factorization	factorization	NOUN
ap-1193	91	45	(	(	PUNCT
ap-1193	91	46	2.6	2.6	NUM
ap-1193	91	47	)	)	PUNCT
ap-1193	91	48	from	from	ADP
ap-1193	91	49	(	(	PUNCT
ap-1193	91	50	2.4	2.4	NUM
ap-1193	91	51	)	)	PUNCT
ap-1193	91	52	.	.	PUNCT
ap-1193	92	1	4	4	X
ap-1193	92	2	.	.	X
ap-1193	92	3	it	it	PRON
ap-1193	92	4	turns	turn	VERB
ap-1193	92	5	out	out	ADP
ap-1193	92	6	that	that	SCONJ
ap-1193	92	7	the	the	DET
ap-1193	92	8	requirement	requirement	NOUN
ap-1193	92	9	of	of	ADP
ap-1193	92	10	global	global	ADJ
ap-1193	92	11	conformal	conformal	ADJ
ap-1193	92	12	invariance	invariance	NOUN
ap-1193	92	13	(	(	PUNCT
ap-1193	92	14	gci	gci	PROPN
ap-1193	92	15	)	)	PUNCT
ap-1193	92	16	in	in	ADP
ap-1193	92	17	minkowski	minkowski	ADJ
ap-1193	92	18	space	space	NOUN
ap-1193	92	19	together	together	ADV
ap-1193	92	20	with	with	ADP
ap-1193	92	21	the	the	DET
ap-1193	92	22	standard	standard	ADJ
ap-1193	92	23	wightman	wightman	NOUN
ap-1193	92	24	axioms	axiom	NOUN
ap-1193	92	25	of	of	ADP
ap-1193	92	26	local	local	ADJ
ap-1193	92	27	commutativity	commutativity	NOUN
ap-1193	92	28	and	and	CCONJ
ap-1193	92	29	energy	energy	NOUN
ap-1193	92	30	positivity	positivity	NOUN
ap-1193	92	31	entails	entail	VERB
ap-1193	92	32	the	the	DET
ap-1193	92	33	rationality	rationality	NOUN
ap-1193	92	34	of	of	ADP
ap-1193	92	35	correlation	correlation	NOUN
ap-1193	92	36	functions	function	NOUN
ap-1193	92	37	in	in	ADP
ap-1193	92	38	any	any	DET
ap-1193	92	39	even	even	ADJ
ap-1193	92	40	number	number	NOUN
ap-1193	92	41	of	of	ADP
ap-1193	92	42	space	space	NOUN
ap-1193	92	43	-	-	PUNCT
ap-1193	92	44	time	time	NOUN
ap-1193	92	45	dimensions	dimension	NOUN
ap-1193	92	46	[	[	X
ap-1193	92	47	32	32	NUM
ap-1193	92	48	]	]	PUNCT
ap-1193	92	49	.	.	PUNCT
ap-1193	93	1	indeed	indeed	ADV
ap-1193	93	2	,	,	PUNCT
ap-1193	93	3	gci	gci	PROPN
ap-1193	93	4	and	and	CCONJ
ap-1193	93	5	local	local	ADJ
ap-1193	93	6	commutativity	commutativity	NOUN
ap-1193	93	7	of	of	ADP
ap-1193	93	8	bose	bose	NOUN
ap-1193	93	9	fields	field	NOUN
ap-1193	93	10	(	(	PUNCT
ap-1193	93	11	for	for	ADP
ap-1193	93	12	space	space	NOUN
ap-1193	93	13	-	-	PUNCT
ap-1193	93	14	like	like	ADJ
ap-1193	93	15	separations	separation	NOUN
ap-1193	93	16	of	of	ADP
ap-1193	93	17	the	the	DET
ap-1193	93	18	arguments	argument	NOUN
ap-1193	93	19	)	)	PUNCT
ap-1193	93	20	imply	imply	VERB
ap-1193	93	21	the	the	DET
ap-1193	93	22	huygens	huygens	PROPN
ap-1193	93	23	principle	principle	PROPN
ap-1193	93	24	and	and	CCONJ
ap-1193	93	25	,	,	PUNCT
ap-1193	93	26	in	in	ADP
ap-1193	93	27	fact	fact	NOUN
ap-1193	93	28	,	,	PUNCT
ap-1193	93	29	the	the	DET
ap-1193	93	30	strong	strong	ADJ
ap-1193	93	31	(	(	PUNCT
ap-1193	93	32	algebraic	algebraic	ADJ
ap-1193	93	33	)	)	PUNCT
ap-1193	93	34	locality	locality	NOUN
ap-1193	93	35	condition	condition	NOUN
ap-1193	93	36	(	(	PUNCT
ap-1193	93	37	x212	x212	NUM
ap-1193	93	38	)	)	PUNCT
ap-1193	93	39	n[φi(x1	n[φi(x1	PROPN
ap-1193	93	40	)	)	PUNCT
ap-1193	93	41	,	,	PUNCT
ap-1193	93	42	φj(x2	φj(x2	NOUN
ap-1193	93	43	)	)	PUNCT
ap-1193	93	44	]	]	PUNCT
ap-1193	94	1	=	=	SYM
ap-1193	94	2	0	0	PUNCT
ap-1193	94	3	(	(	PUNCT
ap-1193	94	4	2.7	2.7	NUM
ap-1193	94	5	)	)	PUNCT
ap-1193	94	6	for	for	ADP
ap-1193	94	7	n	n	PRON
ap-1193	94	8	sufficiently	sufficiently	ADV
ap-1193	94	9	large	large	ADJ
ap-1193	94	10	,	,	PUNCT
ap-1193	94	11	a	a	DET
ap-1193	94	12	condition	condition	NOUN
ap-1193	94	13	only	only	ADV
ap-1193	94	14	consistent	consistent	ADJ
ap-1193	94	15	with	with	ADP
ap-1193	94	16	the	the	DET
ap-1193	94	17	theory	theory	NOUN
ap-1193	94	18	of	of	ADP
ap-1193	94	19	free	free	ADJ
ap-1193	94	20	fields	field	NOUN
ap-1193	94	21	for	for	ADP
ap-1193	94	22	an	an	DET
ap-1193	94	23	even	even	ADJ
ap-1193	94	24	number	number	NOUN
ap-1193	94	25	of	of	ADP
ap-1193	94	26	space	space	NOUN
ap-1193	94	27	time	time	NOUN
ap-1193	94	28	dimensions	dimension	NOUN
ap-1193	94	29	.	.	PUNCT
ap-1193	95	1	it	it	PRON
ap-1193	95	2	is	be	AUX
ap-1193	95	3	this	this	DET
ap-1193	95	4	huygens	huygen	NOUN
ap-1193	95	5	locality	locality	NOUN
ap-1193	95	6	condition	condition	NOUN
ap-1193	95	7	which	which	PRON
ap-1193	95	8	allows	allow	VERB
ap-1193	95	9	the	the	DET
ap-1193	95	10	introduction	introduction	NOUN
ap-1193	95	11	of	of	ADP
ap-1193	95	12	higher	high	ADJ
ap-1193	95	13	dimensional	dimensional	ADJ
ap-1193	95	14	vertex	vertex	NOUN
ap-1193	95	15	algebras	algebra	NOUN
ap-1193	96	1	[	[	X
ap-1193	96	2	37	37	NUM
ap-1193	96	3	,	,	PUNCT
ap-1193	96	4	38	38	NUM
ap-1193	96	5	,	,	PUNCT
ap-1193	96	6	1	1	NUM
ap-1193	96	7	]	]	PUNCT
ap-1193	96	8	.	.	PUNCT
ap-1193	97	1	5	5	X
ap-1193	97	2	.	.	X
ap-1193	97	3	local	local	ADJ
ap-1193	97	4	gci	gci	PROPN
ap-1193	97	5	fields	field	NOUN
ap-1193	97	6	have	have	VERB
ap-1193	97	7	elliptic	elliptic	ADJ
ap-1193	97	8	thermal	thermal	ADJ
ap-1193	97	9	correlation	correlation	NOUN
ap-1193	97	10	functions	function	NOUN
ap-1193	97	11	with	with	ADP
ap-1193	97	12	respect	respect	NOUN
ap-1193	97	13	to	to	ADP
ap-1193	97	14	the	the	DET
ap-1193	97	15	(	(	PUNCT
ap-1193	97	16	differences	difference	NOUN
ap-1193	97	17	of	of	ADP
ap-1193	97	18	)	)	PUNCT
ap-1193	97	19	conformal	conformal	ADJ
ap-1193	97	20	time	time	NOUN
ap-1193	97	21	variables	variable	NOUN
ap-1193	97	22	in	in	ADP
ap-1193	97	23	any	any	DET
ap-1193	97	24	even	even	ADJ
ap-1193	97	25	number	number	NOUN
ap-1193	97	26	of	of	ADP
ap-1193	97	27	space	space	NOUN
ap-1193	97	28	-	-	PUNCT
ap-1193	97	29	time	time	NOUN
ap-1193	97	30	dimensions	dimension	NOUN
ap-1193	97	31	;	;	PUNCT
ap-1193	97	32	the	the	DET
ap-1193	97	33	corresponding	correspond	VERB
ap-1193	97	34	energy	energy	NOUN
ap-1193	97	35	mean	mean	NOUN
ap-1193	97	36	values	value	NOUN
ap-1193	97	37	in	in	ADP
ap-1193	97	38	a	a	DET
ap-1193	97	39	gibbs	gibbs	PROPN
ap-1193	97	40	(	(	PUNCT
ap-1193	97	41	kms	kms	PROPN
ap-1193	97	42	)	)	PUNCT
ap-1193	97	43	state	state	NOUN
ap-1193	97	44	(	(	PUNCT
ap-1193	97	45	see	see	VERB
ap-1193	97	46	e.g.	e.g.	ADV
ap-1193	97	47	[	[	X
ap-1193	97	48	14	14	NUM
ap-1193	97	49	]	]	PUNCT
ap-1193	97	50	)	)	PUNCT
ap-1193	97	51	are	be	AUX
ap-1193	97	52	expressed	express	VERB
ap-1193	97	53	as	as	ADP
ap-1193	97	54	linear	linear	ADJ
ap-1193	97	55	combinations	combination	NOUN
ap-1193	97	56	of	of	ADP
ap-1193	97	57	modular	modular	ADJ
ap-1193	97	58	forms	form	NOUN
ap-1193	97	59	[	[	X
ap-1193	97	60	38	38	NUM
ap-1193	97	61	]	]	PUNCT
ap-1193	97	62	.	.	PUNCT
ap-1193	98	1	the	the	DET
ap-1193	98	2	rest	rest	NOUN
ap-1193	98	3	of	of	ADP
ap-1193	98	4	the	the	DET
ap-1193	98	5	paper	paper	NOUN
ap-1193	98	6	is	be	AUX
ap-1193	98	7	organized	organize	VERB
ap-1193	98	8	as	as	SCONJ
ap-1193	98	9	follows	follow	VERB
ap-1193	98	10	.	.	PUNCT
ap-1193	99	1	in	in	ADP
ap-1193	99	2	sect	sect	NOUN
ap-1193	99	3	.	.	PUNCT
ap-1193	100	1	3	3	NUM
ap-1193	100	2	we	we	PRON
ap-1193	100	3	reproduce	reproduce	VERB
ap-1193	100	4	the	the	DET
ap-1193	100	5	general	general	ADJ
ap-1193	100	6	form	form	NOUN
ap-1193	100	7	of	of	ADP
ap-1193	100	8	the	the	DET
ap-1193	100	9	4	4	NUM
ap-1193	100	10	-	-	PUNCT
ap-1193	100	11	point	point	NOUN
ap-1193	100	12	function	function	NOUN
ap-1193	100	13	of	of	ADP
ap-1193	100	14	the	the	DET
ap-1193	100	15	bifield	bifield	NOUN
ap-1193	100	16	v	v	ADP
ap-1193	100	17	and	and	CCONJ
ap-1193	100	18	the	the	DET
ap-1193	100	19	leading	lead	VERB
ap-1193	100	20	term	term	NOUN
ap-1193	100	21	in	in	ADP
ap-1193	100	22	its	its	PRON
ap-1193	100	23	conformal	conformal	ADJ
ap-1193	100	24	partial	partial	ADJ
ap-1193	100	25	wave	wave	NOUN
ap-1193	100	26	expansion	expansion	NOUN
ap-1193	100	27	.	.	PUNCT
ap-1193	101	1	the	the	DET
ap-1193	101	2	case	case	NOUN
ap-1193	101	3	of	of	ADP
ap-1193	101	4	a	a	DET
ap-1193	101	5	theory	theory	NOUN
ap-1193	101	6	of	of	ADP
ap-1193	101	7	scalar	scalar	ADJ
ap-1193	101	8	fields	field	NOUN
ap-1193	101	9	of	of	ADP
ap-1193	101	10	dimension	dimension	NOUN
ap-1193	101	11	d	d	NOUN
ap-1193	101	12	=	=	SYM
ap-1193	101	13	2	2	NUM
ap-1193	101	14	is	be	AUX
ap-1193	101	15	singled	single	VERB
ap-1193	101	16	out	out	ADP
ap-1193	101	17	,	,	PUNCT
ap-1193	101	18	in	in	ADP
ap-1193	101	19	which	which	PRON
ap-1193	101	20	the	the	DET
ap-1193	101	21	bifields	bifield	NOUN
ap-1193	101	22	(	(	PUNCT
ap-1193	101	23	and	and	CCONJ
ap-1193	101	24	the	the	DET
ap-1193	101	25	unit	unit	NOUN
ap-1193	101	26	operator	operator	NOUN
ap-1193	101	27	)	)	PUNCT
ap-1193	101	28	close	close	VERB
ap-1193	101	29	a	a	DET
ap-1193	101	30	commutator	commutator	NOUN
ap-1193	101	31	algebra	algebra	NOUN
ap-1193	101	32	.	.	PUNCT
ap-1193	102	1	in	in	ADP
ap-1193	102	2	sect	sect	NOUN
ap-1193	102	3	.	.	PUNCT
ap-1193	103	1	4	4	NUM
ap-1193	103	2	we	we	PRON
ap-1193	103	3	classify	classify	VERB
ap-1193	103	4	the	the	DET
ap-1193	103	5	arising	arise	VERB
ap-1193	103	6	infinite	infinite	ADJ
ap-1193	103	7	dimensional	dimensional	ADJ
ap-1193	103	8	lie	lie	NOUN
ap-1193	103	9	algebras	algebra	NOUN
ap-1193	103	10	l	l	NOUN
ap-1193	103	11	in	in	ADP
ap-1193	103	12	terms	term	NOUN
ap-1193	103	13	of	of	ADP
ap-1193	103	14	the	the	DET
ap-1193	103	15	three	three	NUM
ap-1193	103	16	real	real	ADJ
ap-1193	103	17	division	division	NOUN
ap-1193	103	18	rings	ring	NOUN
ap-1193	103	19	f	f	NOUN
ap-1193	103	20	=	=	SYM
ap-1193	103	21	r	r	PROPN
ap-1193	103	22	,	,	PUNCT
ap-1193	103	23	c	c	X
ap-1193	103	24	,	,	PUNCT
ap-1193	103	25	h.	h.	NOUN
ap-1193	103	26	in	in	ADP
ap-1193	103	27	sect	sect	NOUN
ap-1193	103	28	.	.	PUNCT
ap-1193	104	1	5	5	NUM
ap-1193	104	2	we	we	PRON
ap-1193	104	3	formulate	formulate	VERB
ap-1193	104	4	the	the	DET
ap-1193	104	5	main	main	ADJ
ap-1193	104	6	result	result	NOUN
ap-1193	104	7	of	of	ADP
ap-1193	104	8	[	[	X
ap-1193	104	9	2	2	NUM
ap-1193	104	10	]	]	PUNCT
ap-1193	104	11	and	and	CCONJ
ap-1193	104	12	[	[	X
ap-1193	104	13	3	3	X
ap-1193	104	14	]	]	PUNCT
ap-1193	104	15	on	on	ADP
ap-1193	104	16	the	the	DET
ap-1193	104	17	fock	fock	ADJ
ap-1193	104	18	space	space	NOUN
ap-1193	104	19	representations	representation	NOUN
ap-1193	104	20	of	of	ADP
ap-1193	104	21	the	the	DET
ap-1193	104	22	lie	lie	NOUN
ap-1193	104	23	algebra	algebra	PROPN
ap-1193	104	24	l(f	l(f	PROPN
ap-1193	104	25	)	)	PUNCT
ap-1193	104	26	coupled	couple	VERB
ap-1193	104	27	to	to	ADP
ap-1193	104	28	the	the	DET
ap-1193	104	29	(	(	PUNCT
ap-1193	104	30	dual	dual	ADJ
ap-1193	104	31	,	,	PUNCT
ap-1193	104	32	in	in	ADP
ap-1193	104	33	the	the	DET
ap-1193	104	34	sense	sense	NOUN
ap-1193	104	35	of	of	ADP
ap-1193	104	36	howe	howe	NOUN
ap-1193	104	37	[	[	X
ap-1193	104	38	16	16	NUM
ap-1193	104	39	]	]	SYM
ap-1193	104	40	)	)	PUNCT
ap-1193	104	41	compact	compact	ADJ
ap-1193	104	42	gauge	gauge	NOUN
ap-1193	104	43	group	group	NOUN
ap-1193	104	44	u(n	u(n	PROPN
ap-1193	104	45	,	,	PUNCT
ap-1193	104	46	f	f	PROPN
ap-1193	104	47	)	)	PUNCT
ap-1193	104	48	where	where	SCONJ
ap-1193	104	49	n	n	PRON
ap-1193	104	50	is	be	AUX
ap-1193	104	51	the	the	DET
ap-1193	104	52	central	central	ADJ
ap-1193	104	53	charge	charge	NOUN
ap-1193	104	54	of	of	ADP
ap-1193	104	55	l.	l.	PROPN
ap-1193	104	56	3	3	NUM
ap-1193	104	57	four	four	NUM
ap-1193	104	58	-	-	PUNCT
ap-1193	104	59	point	point	NOUN
ap-1193	104	60	functions	function	NOUN
ap-1193	104	61	and	and	CCONJ
ap-1193	104	62	conformal	conformal	ADJ
ap-1193	104	63	partial	partial	ADJ
ap-1193	104	64	wave	wave	NOUN
ap-1193	104	65	expansions	expansion	VERB
ap-1193	104	66	the	the	DET
ap-1193	104	67	conformal	conformal	PROPN
ap-1193	104	68	bifields	bifield	NOUN
ap-1193	104	69	v	v	PROPN
ap-1193	104	70	(	(	PUNCT
ap-1193	104	71	x1	x1	PROPN
ap-1193	104	72	,	,	PUNCT
ap-1193	104	73	x2	x2	PROPN
ap-1193	104	74	)	)	PUNCT
ap-1193	104	75	of	of	ADP
ap-1193	104	76	dimension	dimension	NOUN
ap-1193	104	77	(	(	PUNCT
ap-1193	104	78	1	1	NUM
ap-1193	104	79	,	,	PUNCT
ap-1193	104	80	1	1	NUM
ap-1193	104	81	)	)	PUNCT
ap-1193	104	82	which	which	PRON
ap-1193	104	83	arise	arise	VERB
ap-1193	104	84	in	in	ADP
ap-1193	104	85	the	the	DET
ap-1193	104	86	ope	ope	NOUN
ap-1193	104	87	(	(	PUNCT
ap-1193	104	88	2.2	2.2	NUM
ap-1193	104	89	)	)	PUNCT
ap-1193	104	90	(	(	PUNCT
ap-1193	104	91	as	as	ADP
ap-1193	104	92	sums	sum	NOUN
ap-1193	104	93	of	of	ADP
ap-1193	104	94	integrals	integral	NOUN
ap-1193	104	95	of	of	ADP
ap-1193	104	96	conserved	conserve	VERB
ap-1193	104	97	tensor	tensor	NOUN
ap-1193	104	98	currents	current	NOUN
ap-1193	104	99	)	)	PUNCT
ap-1193	104	100	satisfy	satisfy	VERB
ap-1193	104	101	the	the	DET
ap-1193	104	102	d’alembert	d’alembert	NOUN
ap-1193	104	103	equation	equation	NOUN
ap-1193	104	104	in	in	ADP
ap-1193	104	105	each	each	DET
ap-1193	104	106	argument	argument	NOUN
ap-1193	105	1	[	[	X
ap-1193	105	2	34	34	NUM
ap-1193	105	3	]	]	X
ap-1193	105	4	;	;	PUNCT
ap-1193	105	5	we	we	PRON
ap-1193	105	6	shall	shall	AUX
ap-1193	105	7	call	call	VERB
ap-1193	105	8	them	they	PRON
ap-1193	105	9	harmonic	harmonic	ADJ
ap-1193	105	10	bifields	bifield	NOUN
ap-1193	105	11	.	.	PUNCT
ap-1193	106	1	their	their	PRON
ap-1193	106	2	correlation	correlation	NOUN
ap-1193	106	3	functions	function	NOUN
ap-1193	106	4	depend	depend	VERB
ap-1193	106	5	on	on	ADP
ap-1193	106	6	the	the	DET
ap-1193	106	7	dimension	dimension	NOUN
ap-1193	106	8	d	d	PROPN
ap-1193	106	9	of	of	ADP
ap-1193	106	10	the	the	DET
ap-1193	106	11	local	local	ADJ
ap-1193	106	12	scalar	scalar	ADJ
ap-1193	106	13	fields	field	NOUN
ap-1193	106	14	φ	φ	PROPN
ap-1193	106	15	.	.	PUNCT
ap-1193	107	1	for	for	ADP
ap-1193	107	2	d	d	PROPN
ap-1193	107	3	=	=	SYM
ap-1193	107	4	1	1	NUM
ap-1193	107	5	one	one	NOUN
ap-1193	107	6	is	be	AUX
ap-1193	107	7	actually	actually	ADV
ap-1193	107	8	dealing	deal	VERB
ap-1193	107	9	with	with	ADP
ap-1193	107	10	the	the	DET
ap-1193	107	11	theory	theory	NOUN
ap-1193	107	12	of	of	ADP
ap-1193	107	13	a	a	DET
ap-1193	107	14	free	free	ADJ
ap-1193	107	15	massless	massless	NOUN
ap-1193	107	16	field	field	NOUN
ap-1193	107	17	.	.	PUNCT
ap-1193	108	1	we	we	PRON
ap-1193	108	2	shall	shall	AUX
ap-1193	108	3	,	,	PUNCT
ap-1193	108	4	therefore	therefore	ADV
ap-1193	108	5	,	,	PUNCT
ap-1193	108	6	assume	assume	VERB
ap-1193	108	7	d	d	X
ap-1193	108	8	>	>	X
ap-1193	108	9	1	1	NUM
ap-1193	108	10	.	.	PUNCT
ap-1193	109	1	a	a	DET
ap-1193	109	2	basis	basis	NOUN
ap-1193	109	3	{	{	PUNCT
ap-1193	109	4	fνi	fνi	PROPN
ap-1193	109	5	,	,	PUNCT
ap-1193	109	6	ν	ν	X
ap-1193	109	7	=	=	SYM
ap-1193	109	8	0	0	NUM
ap-1193	109	9	,	,	PUNCT
ap-1193	109	10	1	1	NUM
ap-1193	109	11	,	,	PUNCT
ap-1193	109	12	.	.	PUNCT
ap-1193	109	13	.	.	PUNCT
ap-1193	109	14	.	.	PUNCT
ap-1193	110	1	,	,	PUNCT
ap-1193	111	1	d	d	X
ap-1193	111	2	−	−	PROPN
ap-1193	111	3	2	2	NUM
ap-1193	111	4	,	,	PUNCT
ap-1193	111	5	i	i	PRON
ap-1193	111	6	=	=	NOUN
ap-1193	111	7	1	1	NUM
ap-1193	111	8	,	,	PUNCT
ap-1193	111	9	2	2	NUM
ap-1193	111	10	}	}	PUNCT
ap-1193	111	11	of	of	ADP
ap-1193	111	12	invariant	invariant	ADJ
ap-1193	111	13	amplitudes	amplitude	NOUN
ap-1193	111	14	f	f	X
ap-1193	111	15	(	(	PUNCT
ap-1193	111	16	s	s	PROPN
ap-1193	111	17	,	,	PUNCT
ap-1193	111	18	t	t	PROPN
ap-1193	111	19	)	)	PUNCT
ap-1193	111	20	such	such	ADJ
ap-1193	111	21	that	that	SCONJ
ap-1193	111	22	〈	〈	PROPN
ap-1193	111	23	0	0	PROPN
ap-1193	112	1	|	|	CCONJ
ap-1193	112	2	v1(x1	v1(x1	PROPN
ap-1193	112	3	,	,	PUNCT
ap-1193	112	4	x2)v2(x3	x2)v2(x3	NUM
ap-1193	112	5	,	,	PUNCT
ap-1193	112	6	x4	x4	PROPN
ap-1193	112	7	)	)	PUNCT
ap-1193	113	1	|	|	ADV
ap-1193	113	2	0	0	NUM
ap-1193	113	3	〉	〉	NOUN
ap-1193	113	4	=	=	SYM
ap-1193	113	5	1	1	NUM
ap-1193	113	6	ρ13	ρ13	NOUN
ap-1193	113	7	ρ24	ρ24	NOUN
ap-1193	113	8	f	f	PROPN
ap-1193	113	9	(	(	PUNCT
ap-1193	113	10	s	s	PROPN
ap-1193	113	11	,	,	PUNCT
ap-1193	113	12	t	t	PROPN
ap-1193	113	13	)	)	PUNCT
ap-1193	113	14	,	,	PUNCT
ap-1193	113	15	ρij	ρij	NOUN
ap-1193	113	16	=	=	PUNCT
ap-1193	113	17	x2ij	x2ij	PUNCT
ap-1193	114	1	+	+	CCONJ
ap-1193	114	2	i0x0ij	i0x0ij	SYM
ap-1193	114	3	,	,	PUNCT
ap-1193	114	4	x2	x2	PROPN
ap-1193	114	5	=	=	SYM
ap-1193	114	6	x2	x2	PROPN
ap-1193	115	1	−	−	PROPN
ap-1193	115	2	(	(	PUNCT
ap-1193	115	3	x0)2	x0)2	PROPN
ap-1193	115	4	(	(	PUNCT
ap-1193	115	5	3.1	3.1	NUM
ap-1193	115	6	)	)	PUNCT
ap-1193	115	7	is	be	AUX
ap-1193	115	8	given	give	VERB
ap-1193	115	9	by	by	ADP
ap-1193	115	10	(	(	PUNCT
ap-1193	115	11	u+	u+	NUM
ap-1193	115	12	−	−	PROPN
ap-1193	115	13	u−	u−	PROPN
ap-1193	115	14	)	)	PUNCT
ap-1193	115	15	fν1(s	fν1(s	PROPN
ap-1193	115	16	,	,	PUNCT
ap-1193	115	17	t	t	PROPN
ap-1193	115	18	)	)	PUNCT
ap-1193	115	19	=	=	SYM
ap-1193	116	1	uν+1	uν+1	PROPN
ap-1193	116	2	+	+	CCONJ
ap-1193	116	3	(	(	PUNCT
ap-1193	116	4	1−	1−	NUM
ap-1193	116	5	u+)ν+1	u+)ν+1	NOUN
ap-1193	116	6	−	−	PROPN
ap-1193	116	7	uν+1	uν+1	PROPN
ap-1193	116	8	−	−	PROPN
ap-1193	116	9	(	(	PUNCT
ap-1193	116	10	1−	1−	NUM
ap-1193	116	11	u−)ν+1	u−)ν+1	ADJ
ap-1193	116	12	,	,	PUNCT
ap-1193	116	13	(	(	PUNCT
ap-1193	116	14	u+	u+	NOUN
ap-1193	116	15	−	−	PROPN
ap-1193	116	16	u−	u−	PROPN
ap-1193	116	17	)	)	PUNCT
ap-1193	116	18	fν2(s	fν2(s	PROPN
ap-1193	116	19	,	,	PUNCT
ap-1193	116	20	t	t	PROPN
ap-1193	116	21	)	)	PUNCT
ap-1193	116	22	=	=	PUNCT
ap-1193	116	23	(	(	PUNCT
ap-1193	116	24	−1)ν(uν+1	−1)ν(uν+1	NOUN
ap-1193	116	25	+	+	CCONJ
ap-1193	116	26	−	−	NOUN
ap-1193	116	27	uν+1	uν+1	PROPN
ap-1193	116	28	−	−	PROPN
ap-1193	116	29	)	)	PUNCT
ap-1193	116	30	,	,	PUNCT
ap-1193	116	31	(	(	PUNCT
ap-1193	116	32	3.2	3.2	NUM
ap-1193	116	33	)	)	PUNCT
ap-1193	116	34	ν	ν	NOUN
ap-1193	116	35	=	=	SYM
ap-1193	116	36	0	0	NUM
ap-1193	116	37	,	,	PUNCT
ap-1193	116	38	1	1	NUM
ap-1193	116	39	,	,	PUNCT
ap-1193	116	40	.	.	PUNCT
ap-1193	116	41	.	.	PUNCT
ap-1193	117	1	.	.	PUNCT
ap-1193	118	1	,	,	PUNCT
ap-1193	118	2	d−	d−	PROPN
ap-1193	118	3	2	2	NUM
ap-1193	118	4	,	,	PUNCT
ap-1193	118	5	where	where	SCONJ
ap-1193	118	6	u±	u±	PROPN
ap-1193	118	7	are	be	AUX
ap-1193	118	8	the	the	DET
ap-1193	118	9	“	"	PUNCT
ap-1193	118	10	chiral	chiral	ADJ
ap-1193	118	11	variables	variable	NOUN
ap-1193	118	12	”	"	PUNCT
ap-1193	118	13	(	(	PUNCT
ap-1193	118	14	2.6	2.6	NUM
ap-1193	118	15	)	)	PUNCT
ap-1193	118	16	;	;	PUNCT
ap-1193	118	17	f01	f01	PROPN
ap-1193	118	18	=	=	SYM
ap-1193	118	19	1	1	NUM
ap-1193	118	20	t	t	NOUN
ap-1193	118	21	,	,	PUNCT
ap-1193	118	22	f02	f02	NOUN
ap-1193	118	23	=	=	SYM
ap-1193	118	24	1	1	NUM
ap-1193	118	25	;	;	PUNCT
ap-1193	118	26	f11	f11	PROPN
ap-1193	118	27	=	=	SYM
ap-1193	118	28	1−	1−	NUM
ap-1193	118	29	s−	s−	PROPN
ap-1193	118	30	t	t	PROPN
ap-1193	118	31	t2	t2	PROPN
ap-1193	118	32	,	,	PUNCT
ap-1193	118	33	f12	f12	NOUN
ap-1193	118	34	=	=	PUNCT
ap-1193	118	35	t−	t−	PROPN
ap-1193	118	36	s−	s−	PROPN
ap-1193	118	37	1	1	NUM
ap-1193	118	38	;	;	PUNCT
ap-1193	118	39	f21	f21	NOUN
ap-1193	118	40	=	=	SYM
ap-1193	118	41	(	(	PUNCT
ap-1193	118	42	1−	1−	NUM
ap-1193	118	43	t)2	t)2	NOUN
ap-1193	118	44	−	−	PROPN
ap-1193	118	45	s(2−	s(2−	PROPN
ap-1193	118	46	t	t	PROPN
ap-1193	118	47	)	)	PUNCT
ap-1193	118	48	+	+	CCONJ
ap-1193	118	49	s2	s2	NOUN
ap-1193	118	50	t3	t3	NOUN
ap-1193	118	51	,	,	PUNCT
ap-1193	118	52	(	(	PUNCT
ap-1193	118	53	3.3	3.3	NUM
ap-1193	118	54	)	)	PUNCT
ap-1193	118	55	fν2(s	fν2(s	PROPN
ap-1193	118	56	,	,	PUNCT
ap-1193	118	57	t	t	PROPN
ap-1193	118	58	)	)	PUNCT
ap-1193	118	59	=	=	SYM
ap-1193	118	60	1	1	NUM
ap-1193	118	61	t	t	NOUN
ap-1193	118	62	fν1	fν1	NOUN
ap-1193	118	63	(	(	PUNCT
ap-1193	118	64	s	s	PROPN
ap-1193	118	65	t	t	NOUN
ap-1193	118	66	,	,	PUNCT
ap-1193	118	67	1	1	NUM
ap-1193	118	68	t	t	NOUN
ap-1193	118	69	)	)	PUNCT
ap-1193	119	1	fν	fν	PROPN
ap-1193	119	2	,	,	PUNCT
ap-1193	119	3	i	i	PRON
ap-1193	119	4	,	,	PUNCT
ap-1193	119	5	i	i	NOUN
ap-1193	119	6	=	=	NOUN
ap-1193	119	7	1	1	NUM
ap-1193	119	8	,	,	PUNCT
ap-1193	119	9	2	2	NUM
ap-1193	119	10	corresponding	correspond	VERB
ap-1193	119	11	to	to	ADP
ap-1193	119	12	single	single	ADJ
ap-1193	119	13	pole	pole	NOUN
ap-1193	119	14	terms	term	NOUN
ap-1193	120	1	[	[	X
ap-1193	120	2	36	36	NUM
ap-1193	120	3	]	]	PUNCT
ap-1193	120	4	in	in	ADP
ap-1193	120	5	the	the	DET
ap-1193	120	6	4	4	NUM
ap-1193	120	7	-	-	PUNCT
ap-1193	120	8	point	point	NOUN
ap-1193	120	9	correlation	correlation	NOUN
ap-1193	120	10	functions	function	NOUN
ap-1193	120	11	wνi(x1	wνi(x1	PROPN
ap-1193	120	12	,	,	PUNCT
ap-1193	120	13	.	.	PUNCT
ap-1193	120	14	.	.	PUNCT
ap-1193	121	1	.	.	PUNCT
ap-1193	122	1	,	,	PUNCT
ap-1193	122	2	x4	x4	PROPN
ap-1193	122	3	)	)	PUNCT
ap-1193	122	4	=	=	SYM
ap-1193	122	5	fνi(s	fνi(s	PROPN
ap-1193	122	6	,	,	PUNCT
ap-1193	122	7	t)/ρ13	t)/ρ13	NOUN
ap-1193	122	8	ρ24	ρ24	NOUN
ap-1193	122	9	:	:	PUNCT
ap-1193	122	10	w01	w01	NOUN
ap-1193	122	11	=	=	SYM
ap-1193	122	12	1	1	NUM
ap-1193	122	13	ρ14	ρ14	NOUN
ap-1193	122	14	ρ23	ρ23	NOUN
ap-1193	122	15	,	,	PUNCT
ap-1193	122	16	w02	w02	NOUN
ap-1193	122	17	=	=	SYM
ap-1193	122	18	1	1	NUM
ap-1193	122	19	ρ13	ρ13	NOUN
ap-1193	122	20	ρ24	ρ24	NOUN
ap-1193	122	21	;	;	PUNCT
ap-1193	122	22	56	56	NUM
ap-1193	122	23	acta	acta	PROPN
ap-1193	122	24	polytechnica	polytechnica	PROPN
ap-1193	122	25	vol	vol	NOUN
ap-1193	122	26	.	.	PROPN
ap-1193	123	1	50	50	NUM
ap-1193	123	2	no	no	NOUN
ap-1193	123	3	.	.	PUNCT
ap-1193	124	1	3/2010	3/2010	NUM
ap-1193	124	2	w11	w11	NOUN
ap-1193	124	3	=	=	SYM
ap-1193	124	4	ρ13	ρ13	NOUN
ap-1193	124	5	ρ24	ρ24	NOUN
ap-1193	124	6	−	−	PROPN
ap-1193	124	7	ρ14	ρ14	ADJ
ap-1193	124	8	ρ23	ρ23	NOUN
ap-1193	124	9	−	−	PROPN
ap-1193	124	10	ρ12	ρ12	NOUN
ap-1193	124	11	ρ34	ρ34	NOUN
ap-1193	124	12	ρ214	ρ214	PROPN
ap-1193	124	13	ρ223	ρ223	PROPN
ap-1193	124	14	,	,	PUNCT
ap-1193	124	15	w12	w12	NOUN
ap-1193	124	16	=	=	SYM
ap-1193	124	17	ρ14	ρ14	ADV
ap-1193	124	18	ρ23	ρ23	NOUN
ap-1193	125	1	−	−	PROPN
ap-1193	126	1	ρ13	ρ13	NOUN
ap-1193	127	1	ρ24	ρ24	ADV
ap-1193	127	2	−	−	PROPN
ap-1193	127	3	ρ12	ρ12	NOUN
ap-1193	127	4	ρ34	ρ34	NOUN
ap-1193	127	5	ρ213	ρ213	PROPN
ap-1193	127	6	ρ224	ρ224	PROPN
ap-1193	128	1	;	;	PUNCT
ap-1193	128	2	w21	w21	PROPN
ap-1193	128	3	=	=	PRON
ap-1193	129	1	(	(	PUNCT
ap-1193	129	2	ρ13	ρ13	NOUN
ap-1193	129	3	ρ24	ρ24	NOUN
ap-1193	129	4	−	−	PROPN
ap-1193	129	5	ρ14	ρ14	ADJ
ap-1193	129	6	ρ23)2	ρ23)2	NOUN
ap-1193	129	7	ρ314	ρ314	PROPN
ap-1193	130	1	ρ323	ρ323	PROPN
ap-1193	130	2	−	−	PROPN
ap-1193	130	3	ρ12	ρ12	PROPN
ap-1193	130	4	ρ34	ρ34	NOUN
ap-1193	130	5	(	(	PUNCT
ap-1193	130	6	2	2	NUM
ap-1193	130	7	ρ13	ρ13	NOUN
ap-1193	130	8	ρ24	ρ24	NOUN
ap-1193	130	9	−	−	PROPN
ap-1193	130	10	ρ14	ρ14	ADJ
ap-1193	130	11	ρ23	ρ23	NOUN
ap-1193	130	12	)	)	PUNCT
ap-1193	131	1	+	+	PUNCT
ap-1193	132	1	ρ212	ρ212	PUNCT
ap-1193	132	2	ρ234	ρ234	NUM
ap-1193	132	3	ρ314	ρ314	PROPN
ap-1193	132	4	ρ323	ρ323	PROPN
ap-1193	132	5	,	,	PUNCT
ap-1193	132	6	w22	w22	NOUN
ap-1193	132	7	=	=	SYM
ap-1193	132	8	(	(	PUNCT
ap-1193	132	9	ρ14	ρ14	ADV
ap-1193	132	10	ρ23	ρ23	NOUN
ap-1193	133	1	−	−	PROPN
ap-1193	133	2	ρ13	ρ13	NOUN
ap-1193	134	1	ρ24)2	ρ24)2	PROPN
ap-1193	134	2	ρ313	ρ313	PROPN
ap-1193	134	3	ρ324	ρ324	PROPN
ap-1193	134	4	−	−	PROPN
ap-1193	134	5	(	(	PUNCT
ap-1193	134	6	3.4	3.4	NUM
ap-1193	134	7	)	)	PUNCT
ap-1193	134	8	ρ12	ρ12	NOUN
ap-1193	134	9	ρ34	ρ34	NOUN
ap-1193	134	10	(	(	PUNCT
ap-1193	134	11	2	2	NUM
ap-1193	134	12	ρ14	ρ14	NOUN
ap-1193	134	13	ρ23	ρ23	NOUN
ap-1193	134	14	−	−	PROPN
ap-1193	134	15	ρ13	ρ13	NUM
ap-1193	134	16	ρ24	ρ24	NOUN
ap-1193	134	17	)	)	PUNCT
ap-1193	134	18	+	+	PUNCT
ap-1193	135	1	ρ212	ρ212	PROPN
ap-1193	135	2	ρ234	ρ234	NUM
ap-1193	135	3	ρ313	ρ313	PROPN
ap-1193	135	4	ρ324	ρ324	PROPN
ap-1193	135	5	.	.	PUNCT
ap-1193	136	1	we	we	PRON
ap-1193	136	2	have	have	VERB
ap-1193	136	3	wν2	wν2	ADJ
ap-1193	136	4	=	=	ADJ
ap-1193	136	5	p34wν1(=	p34wν1(=	PROPN
ap-1193	136	6	p12wν1	p12wν1	PROPN
ap-1193	136	7	)	)	PUNCT
ap-1193	136	8	where	where	SCONJ
ap-1193	136	9	pij	pij	NOUN
ap-1193	136	10	stands	stand	VERB
ap-1193	136	11	for	for	ADP
ap-1193	136	12	the	the	DET
ap-1193	136	13	substitution	substitution	NOUN
ap-1193	136	14	of	of	ADP
ap-1193	136	15	the	the	DET
ap-1193	136	16	arguments	argument	NOUN
ap-1193	136	17	xi	xi	X
ap-1193	136	18	and	and	CCONJ
ap-1193	136	19	xj	xj	PROPN
ap-1193	136	20	.	.	PUNCT
ap-1193	137	1	clearly	clearly	ADV
ap-1193	137	2	,	,	PUNCT
ap-1193	137	3	for	for	ADP
ap-1193	137	4	x1	x1	PROPN
ap-1193	137	5	=	=	SYM
ap-1193	137	6	x2	x2	PROPN
ap-1193	137	7	(	(	PUNCT
ap-1193	137	8	or	or	CCONJ
ap-1193	137	9	s	s	X
ap-1193	137	10	=	=	SYM
ap-1193	137	11	0	0	NUM
ap-1193	137	12	,	,	PUNCT
ap-1193	137	13	t	t	NOUN
ap-1193	137	14	=	=	SYM
ap-1193	137	15	1	1	NUM
ap-1193	137	16	)	)	PUNCT
ap-1193	137	17	only	only	ADV
ap-1193	137	18	the	the	DET
ap-1193	137	19	amplitudes	amplitude	NOUN
ap-1193	137	20	f0i	f0i	NOUN
ap-1193	137	21	contribute	contribute	VERB
ap-1193	137	22	to	to	ADP
ap-1193	137	23	the	the	DET
ap-1193	137	24	4	4	NUM
ap-1193	137	25	-	-	PUNCT
ap-1193	137	26	point	point	NOUN
ap-1193	137	27	function	function	NOUN
ap-1193	137	28	(	(	PUNCT
ap-1193	137	29	3.1	3.1	NUM
ap-1193	137	30	)	)	PUNCT
ap-1193	137	31	.	.	PUNCT
ap-1193	138	1	it	it	PRON
ap-1193	138	2	has	have	AUX
ap-1193	138	3	been	be	AUX
ap-1193	138	4	demonstrated	demonstrate	VERB
ap-1193	138	5	in	in	ADP
ap-1193	138	6	[	[	X
ap-1193	138	7	35	35	NUM
ap-1193	138	8	]	]	PUNCT
ap-1193	138	9	that	that	SCONJ
ap-1193	138	10	the	the	DET
ap-1193	138	11	lowest	low	ADJ
ap-1193	138	12	angular	angular	ADJ
ap-1193	138	13	momentum	momentum	NOUN
ap-1193	138	14	(	(	PUNCT
ap-1193	138	15	�	�	NOUN
ap-1193	138	16	)	)	PUNCT
ap-1193	138	17	contribution	contribution	NOUN
ap-1193	138	18	to	to	ADP
ap-1193	138	19	fνi	fνi	PROPN
ap-1193	138	20	corresponds	correspond	NOUN
ap-1193	138	21	to	to	ADP
ap-1193	138	22	�	�	PROPN
ap-1193	138	23	=	=	SYM
ap-1193	138	24	ν	ν	PROPN
ap-1193	138	25	.	.	PUNCT
ap-1193	139	1	the	the	DET
ap-1193	139	2	corresponding	correspond	VERB
ap-1193	139	3	ope	ope	NOUN
ap-1193	139	4	of	of	ADP
ap-1193	139	5	the	the	DET
ap-1193	139	6	bifield	bifield	NOUN
ap-1193	139	7	v	v	PROPN
ap-1193	139	8	starts	start	VERB
ap-1193	139	9	with	with	ADP
ap-1193	139	10	a	a	DET
ap-1193	139	11	local	local	ADJ
ap-1193	139	12	scalar	scalar	ADJ
ap-1193	139	13	field	field	NOUN
ap-1193	139	14	φ	φ	PROPN
ap-1193	139	15	of	of	ADP
ap-1193	139	16	dimension	dimension	NOUN
ap-1193	139	17	d	d	PROPN
ap-1193	139	18	=	=	SYM
ap-1193	139	19	2	2	NUM
ap-1193	139	20	for	for	ADP
ap-1193	139	21	ν	ν	X
ap-1193	139	22	=	=	SYM
ap-1193	139	23	0	0	NUM
ap-1193	139	24	;	;	PUNCT
ap-1193	139	25	with	with	ADP
ap-1193	139	26	a	a	DET
ap-1193	139	27	conserved	conserved	ADJ
ap-1193	139	28	current	current	ADJ
ap-1193	139	29	jμ	jμ	PROPN
ap-1193	139	30	(	(	PUNCT
ap-1193	139	31	of	of	ADP
ap-1193	139	32	d	d	PROPN
ap-1193	139	33	=	=	SYM
ap-1193	139	34	3	3	NUM
ap-1193	139	35	)	)	PUNCT
ap-1193	139	36	for	for	ADP
ap-1193	139	37	ν	ν	NOUN
ap-1193	139	38	=	=	SYM
ap-1193	139	39	1	1	NUM
ap-1193	139	40	;	;	PUNCT
ap-1193	139	41	with	with	ADP
ap-1193	139	42	the	the	DET
ap-1193	139	43	stress	stress	NOUN
ap-1193	139	44	energy	energy	NOUN
ap-1193	139	45	tensor	tensor	NOUN
ap-1193	139	46	tλμ	tλμ	NOUN
ap-1193	139	47	for	for	ADP
ap-1193	139	48	ν	ν	NOUN
ap-1193	139	49	=	=	SYM
ap-1193	139	50	2	2	X
ap-1193	139	51	.	.	PUNCT
ap-1193	139	52	indeed	indeed	ADV
ap-1193	139	53	,	,	PUNCT
ap-1193	139	54	the	the	DET
ap-1193	139	55	amplitude	amplitude	NOUN
ap-1193	139	56	fν1	fν1	NOUN
ap-1193	139	57	admits	admit	VERB
ap-1193	139	58	an	an	DET
ap-1193	139	59	expansion	expansion	NOUN
ap-1193	139	60	in	in	ADP
ap-1193	139	61	twist	twist	ADJ
ap-1193	139	62	two2	two2	ADJ
ap-1193	139	63	conformal	conformal	ADJ
ap-1193	139	64	partial	partial	ADJ
ap-1193	139	65	waves	wave	NOUN
ap-1193	139	66	β	β	NOUN
ap-1193	139	67	�	�	NOUN
ap-1193	139	68	(s	(s	PROPN
ap-1193	139	69	,	,	PUNCT
ap-1193	139	70	t	t	PROPN
ap-1193	139	71	)	)	PUNCT
ap-1193	140	1	[	[	X
ap-1193	140	2	6	6	NUM
ap-1193	140	3	]	]	PUNCT
ap-1193	140	4	starting	start	VERB
ap-1193	140	5	with	with	ADP
ap-1193	140	6	(	(	PUNCT
ap-1193	140	7	for	for	ADP
ap-1193	140	8	a	a	DET
ap-1193	140	9	derivation	derivation	NOUN
ap-1193	140	10	see	see	VERB
ap-1193	140	11	[	[	X
ap-1193	140	12	35	35	NUM
ap-1193	140	13	]	]	PUNCT
ap-1193	140	14	,	,	PUNCT
ap-1193	140	15	appendix	appendix	ADJ
ap-1193	140	16	b	b	NOUN
ap-1193	140	17	)	)	PUNCT
ap-1193	140	18	βν(s	βν(s	NUM
ap-1193	140	19	,	,	PUNCT
ap-1193	140	20	t	t	PROPN
ap-1193	140	21	)	)	PUNCT
ap-1193	140	22	=	=	SYM
ap-1193	140	23	gν+1(u+)−gν+1(u−	gν+1(u+)−gν+1(u−	PROPN
ap-1193	140	24	)	)	PUNCT
ap-1193	140	25	u+	u+	NOUN
ap-1193	140	26	−	−	PROPN
ap-1193	140	27	u−	u−	PROPN
ap-1193	140	28	,	,	PUNCT
ap-1193	140	29	(	(	PUNCT
ap-1193	140	30	3.5	3.5	NUM
ap-1193	140	31	)	)	PUNCT
ap-1193	140	32	gμ(u	gμ(u	NOUN
ap-1193	140	33	)	)	PUNCT
ap-1193	141	1	=	=	SYM
ap-1193	141	2	uμf	uμf	NOUN
ap-1193	141	3	(	(	PUNCT
ap-1193	141	4	μ	μ	PROPN
ap-1193	141	5	,	,	PUNCT
ap-1193	141	6	μ	μ	NOUN
ap-1193	141	7	;	;	PUNCT
ap-1193	141	8	2μ;u	2μ;u	NUM
ap-1193	141	9	)	)	PUNCT
ap-1193	141	10	.	.	PUNCT
ap-1193	142	1	remark	remark	VERB
ap-1193	142	2	3.1	3.1	NUM
ap-1193	142	3	eqs	eqs	X
ap-1193	142	4	.	.	PUNCT
ap-1193	143	1	(	(	PUNCT
ap-1193	143	2	3.2	3.2	NUM
ap-1193	143	3	)	)	PUNCT
ap-1193	143	4	(	(	PUNCT
ap-1193	143	5	3.5	3.5	NUM
ap-1193	143	6	)	)	PUNCT
ap-1193	143	7	provide	provide	VERB
ap-1193	143	8	examples	example	NOUN
ap-1193	143	9	of	of	ADP
ap-1193	143	10	solutions	solution	NOUN
ap-1193	143	11	of	of	ADP
ap-1193	143	12	the	the	DET
ap-1193	143	13	d’alambert	d’alambert	ADJ
ap-1193	143	14	equation	equation	NOUN
ap-1193	143	15	in	in	ADP
ap-1193	143	16	any	any	PRON
ap-1193	143	17	of	of	ADP
ap-1193	143	18	the	the	DET
ap-1193	143	19	arguments	argument	NOUN
ap-1193	144	1	xi	xi	INTJ
ap-1193	144	2	,	,	PUNCT
ap-1193	144	3	i	i	PRON
ap-1193	144	4	=	=	NOUN
ap-1193	144	5	1	1	NUM
ap-1193	144	6	,	,	PUNCT
ap-1193	144	7	2	2	NUM
ap-1193	144	8	,	,	PUNCT
ap-1193	144	9	3	3	NUM
ap-1193	144	10	,	,	PUNCT
ap-1193	144	11	4	4	NUM
ap-1193	144	12	.	.	PUNCT
ap-1193	145	1	in	in	ADP
ap-1193	145	2	fact	fact	NOUN
ap-1193	145	3	,	,	PUNCT
ap-1193	145	4	the	the	DET
ap-1193	145	5	general	general	ADJ
ap-1193	145	6	conformal	conformal	NOUN
ap-1193	145	7	covariant	covariant	NOUN
ap-1193	145	8	(	(	PUNCT
ap-1193	145	9	of	of	ADP
ap-1193	145	10	dimension	dimension	NOUN
ap-1193	145	11	1	1	NUM
ap-1193	145	12	in	in	ADP
ap-1193	145	13	each	each	DET
ap-1193	145	14	argument	argument	NOUN
ap-1193	145	15	)	)	PUNCT
ap-1193	145	16	such	such	ADJ
ap-1193	145	17	solution	solution	NOUN
ap-1193	145	18	has	have	VERB
ap-1193	145	19	the	the	DET
ap-1193	145	20	form	form	NOUN
ap-1193	145	21	of	of	ADP
ap-1193	145	22	the	the	DET
ap-1193	145	23	right	right	ADJ
ap-1193	145	24	hand	hand	NOUN
ap-1193	145	25	side	side	NOUN
ap-1193	145	26	of	of	ADP
ap-1193	145	27	(	(	PUNCT
ap-1193	145	28	3.1	3.1	NUM
ap-1193	145	29	)	)	PUNCT
ap-1193	145	30	with	with	ADP
ap-1193	145	31	f	f	PROPN
ap-1193	145	32	(	(	PUNCT
ap-1193	145	33	s	s	PROPN
ap-1193	145	34	,	,	PUNCT
ap-1193	145	35	t	t	PROPN
ap-1193	145	36	)	)	PUNCT
ap-1193	145	37	=	=	SYM
ap-1193	145	38	f(u+)−	f(u+)−	NOUN
ap-1193	145	39	f(u−	f(u−	PROPN
ap-1193	145	40	)	)	PUNCT
ap-1193	145	41	u+	u+	NOUN
ap-1193	145	42	−	−	PROPN
ap-1193	145	43	u−	u−	PROPN
ap-1193	145	44	.	.	PUNCT
ap-1193	146	1	(	(	PUNCT
ap-1193	146	2	3.6	3.6	NUM
ap-1193	146	3	)	)	PUNCT
ap-1193	146	4	remark	remark	NOUN
ap-1193	146	5	3.2	3.2	NUM
ap-1193	146	6	we	we	PRON
ap-1193	146	7	note	note	VERB
ap-1193	146	8	that	that	SCONJ
ap-1193	146	9	albeit	albeit	SCONJ
ap-1193	146	10	each	each	DET
ap-1193	146	11	individual	individual	ADJ
ap-1193	146	12	conformal	conformal	ADJ
ap-1193	146	13	partial	partial	ADJ
ap-1193	146	14	wave	wave	NOUN
ap-1193	146	15	is	be	AUX
ap-1193	146	16	a	a	DET
ap-1193	146	17	transcendental	transcendental	ADJ
ap-1193	146	18	function	function	NOUN
ap-1193	146	19	(	(	PUNCT
ap-1193	146	20	like	like	INTJ
ap-1193	146	21	(	(	PUNCT
ap-1193	146	22	3.5	3.5	NUM
ap-1193	146	23	)	)	PUNCT
ap-1193	146	24	)	)	PUNCT
ap-1193	147	1	the	the	DET
ap-1193	147	2	sum	sum	NOUN
ap-1193	147	3	of	of	ADP
ap-1193	147	4	all	all	DET
ap-1193	147	5	such	such	ADJ
ap-1193	147	6	twist	twist	ADJ
ap-1193	147	7	two	two	NUM
ap-1193	147	8	contributions	contribution	NOUN
ap-1193	147	9	is	be	AUX
ap-1193	147	10	the	the	DET
ap-1193	147	11	rational	rational	ADJ
ap-1193	147	12	function	function	NOUN
ap-1193	147	13	fν1(s	fν1(s	PROPN
ap-1193	147	14	,	,	PUNCT
ap-1193	147	15	t	t	PROPN
ap-1193	147	16	)	)	PUNCT
ap-1193	147	17	.	.	PUNCT
ap-1193	148	1	it	it	PRON
ap-1193	148	2	can	can	AUX
ap-1193	148	3	be	be	AUX
ap-1193	148	4	deduced	deduce	VERB
ap-1193	148	5	from	from	ADP
ap-1193	148	6	the	the	DET
ap-1193	148	7	analysis	analysis	NOUN
ap-1193	148	8	of	of	ADP
ap-1193	148	9	4	4	NUM
ap-1193	148	10	-	-	PUNCT
ap-1193	148	11	point	point	NOUN
ap-1193	148	12	functions	function	NOUN
ap-1193	148	13	that	that	PRON
ap-1193	148	14	the	the	DET
ap-1193	148	15	commutator	commutator	NOUN
ap-1193	148	16	algebra	algebra	NOUN
ap-1193	148	17	of	of	ADP
ap-1193	148	18	a	a	DET
ap-1193	148	19	set	set	NOUN
ap-1193	148	20	of	of	ADP
ap-1193	148	21	harmonic	harmonic	ADJ
ap-1193	148	22	bifields	bifield	NOUN
ap-1193	148	23	generated	generate	VERB
ap-1193	148	24	by	by	ADP
ap-1193	148	25	ope	ope	NOUN
ap-1193	148	26	of	of	ADP
ap-1193	148	27	scalar	scalar	ADJ
ap-1193	148	28	fields	field	NOUN
ap-1193	148	29	of	of	ADP
ap-1193	148	30	dimension	dimension	NOUN
ap-1193	149	1	d	d	X
ap-1193	149	2	can	can	AUX
ap-1193	149	3	only	only	ADV
ap-1193	149	4	close	close	VERB
ap-1193	149	5	on	on	ADP
ap-1193	149	6	the	the	DET
ap-1193	149	7	v	v	NOUN
ap-1193	149	8	’s	’s	NOUN
ap-1193	149	9	and	and	CCONJ
ap-1193	149	10	the	the	DET
ap-1193	149	11	unit	unit	NOUN
ap-1193	149	12	operator	operator	NOUN
ap-1193	149	13	for	for	ADP
ap-1193	149	14	d	d	PROPN
ap-1193	149	15	=	=	SYM
ap-1193	149	16	2	2	NUM
ap-1193	149	17	.	.	PUNCT
ap-1193	150	1	in	in	ADP
ap-1193	150	2	this	this	DET
ap-1193	150	3	case	case	NOUN
ap-1193	150	4	the	the	DET
ap-1193	150	5	bifields	bifield	NOUN
ap-1193	150	6	v	v	PROPN
ap-1193	150	7	are	be	AUX
ap-1193	150	8	proven	prove	VERB
ap-1193	150	9	,	,	PUNCT
ap-1193	150	10	in	in	ADP
ap-1193	150	11	addition	addition	NOUN
ap-1193	150	12	,	,	PUNCT
ap-1193	150	13	to	to	PART
ap-1193	150	14	be	be	AUX
ap-1193	150	15	huygens	huygen	NOUN
ap-1193	150	16	bilocal	bilocal	ADJ
ap-1193	150	17	[	[	X
ap-1193	150	18	36	36	NUM
ap-1193	150	19	]	]	PUNCT
ap-1193	150	20	.	.	PUNCT
ap-1193	151	1	remark	remark	VERB
ap-1193	151	2	3.3	3.3	NUM
ap-1193	151	3	in	in	ADP
ap-1193	151	4	general	general	ADJ
ap-1193	151	5	,	,	PUNCT
ap-1193	151	6	irreducible	irreducible	ADJ
ap-1193	151	7	positive	positive	ADJ
ap-1193	151	8	energy	energy	NOUN
ap-1193	151	9	representations	representation	NOUN
ap-1193	151	10	of	of	ADP
ap-1193	151	11	the	the	DET
ap-1193	151	12	(	(	PUNCT
ap-1193	151	13	connected	connected	ADJ
ap-1193	151	14	)	)	PUNCT
ap-1193	151	15	conformal	conformal	NOUN
ap-1193	151	16	group	group	NOUN
ap-1193	151	17	are	be	AUX
ap-1193	151	18	labeled	label	VERB
ap-1193	151	19	by	by	ADP
ap-1193	151	20	triples	triple	NOUN
ap-1193	151	21	(	(	PUNCT
ap-1193	151	22	d	d	NOUN
ap-1193	151	23	;	;	PUNCT
ap-1193	151	24	j1	j1	PROPN
ap-1193	151	25	,	,	PUNCT
ap-1193	151	26	j2	j2	PROPN
ap-1193	151	27	)	)	PUNCT
ap-1193	151	28	including	include	VERB
ap-1193	151	29	the	the	DET
ap-1193	151	30	dimension	dimension	NOUN
ap-1193	151	31	d	d	NOUN
ap-1193	151	32	and	and	CCONJ
ap-1193	151	33	the	the	DET
ap-1193	151	34	lorentz	lorentz	PROPN
ap-1193	151	35	weight	weight	NOUN
ap-1193	151	36	(	(	PUNCT
ap-1193	151	37	j1	j1	PROPN
ap-1193	151	38	,	,	PUNCT
ap-1193	151	39	j2	j2	PROPN
ap-1193	151	40	)	)	PUNCT
ap-1193	152	1	(	(	PUNCT
ap-1193	152	2	2ji	2ji	NOUN
ap-1193	152	3	∈	∈	PROPN
ap-1193	152	4	n	n	CCONJ
ap-1193	152	5	)	)	PUNCT
ap-1193	152	6	,	,	PUNCT
ap-1193	153	1	[	[	X
ap-1193	153	2	29	29	NUM
ap-1193	153	3	]	]	PUNCT
ap-1193	153	4	.	.	PUNCT
ap-1193	154	1	it	it	PRON
ap-1193	154	2	turns	turn	VERB
ap-1193	154	3	out	out	ADP
ap-1193	154	4	that	that	SCONJ
ap-1193	154	5	for	for	ADP
ap-1193	154	6	d	d	NOUN
ap-1193	154	7	=	=	SYM
ap-1193	154	8	3	3	NUM
ap-1193	154	9	there	there	PRON
ap-1193	154	10	is	be	VERB
ap-1193	154	11	a	a	DET
ap-1193	154	12	spin	spin	NOUN
ap-1193	154	13	-	-	PUNCT
ap-1193	154	14	tensor	tensor	NOUN
ap-1193	154	15	bifield	bifield	NOUN
ap-1193	154	16	of	of	ADP
ap-1193	154	17	weight	weight	NOUN
ap-1193	154	18	(	(	PUNCT
ap-1193	154	19	(	(	PUNCT
ap-1193	154	20	3/2	3/2	NUM
ap-1193	154	21	;	;	PUNCT
ap-1193	154	22	1/2	1/2	NUM
ap-1193	154	23	,	,	PUNCT
ap-1193	154	24	0	0	NUM
ap-1193	154	25	)	)	PUNCT
ap-1193	154	26	,	,	PUNCT
ap-1193	154	27	(	(	PUNCT
ap-1193	154	28	3/2	3/2	NUM
ap-1193	154	29	;	;	PUNCT
ap-1193	154	30	0	0	NUM
ap-1193	154	31	,	,	PUNCT
ap-1193	154	32	1/2	1/2	NUM
ap-1193	154	33	)	)	PUNCT
ap-1193	154	34	)	)	PUNCT
ap-1193	155	1	whose	whose	DET
ap-1193	155	2	commutator	commutator	NOUN
ap-1193	155	3	algebra	algebra	NOUN
ap-1193	155	4	does	do	AUX
ap-1193	155	5	close	close	VERB
ap-1193	155	6	;	;	PUNCT
ap-1193	155	7	for	for	ADP
ap-1193	155	8	d	d	NOUN
ap-1193	155	9	=	=	SYM
ap-1193	155	10	4	4	NUM
ap-1193	155	11	there	there	PRON
ap-1193	155	12	is	be	VERB
ap-1193	155	13	a	a	DET
ap-1193	155	14	conformal	conformal	ADJ
ap-1193	155	15	tensor	tensor	NOUN
ap-1193	155	16	bifield	bifield	NOUN
ap-1193	155	17	of	of	ADP
ap-1193	155	18	weight	weight	NOUN
ap-1193	155	19	(	(	PUNCT
ap-1193	155	20	(	(	PUNCT
ap-1193	155	21	2	2	NUM
ap-1193	155	22	;	;	PUNCT
ap-1193	155	23	1	1	NUM
ap-1193	155	24	,	,	PUNCT
ap-1193	155	25	0	0	NUM
ap-1193	155	26	)	)	PUNCT
ap-1193	155	27	,	,	PUNCT
ap-1193	155	28	(	(	PUNCT
ap-1193	155	29	2	2	NUM
ap-1193	155	30	;	;	PUNCT
ap-1193	155	31	0	0	NUM
ap-1193	155	32	,	,	PUNCT
ap-1193	155	33	1	1	NUM
ap-1193	155	34	)	)	PUNCT
ap-1193	155	35	)	)	PUNCT
ap-1193	155	36	with	with	ADP
ap-1193	155	37	this	this	DET
ap-1193	155	38	property	property	NOUN
ap-1193	155	39	.	.	PUNCT
ap-1193	156	1	these	these	DET
ap-1193	156	2	bifields	bifield	NOUN
ap-1193	156	3	may	may	AUX
ap-1193	156	4	be	be	AUX
ap-1193	156	5	termed	term	VERB
ap-1193	156	6	lefthanded	lefthanded	ADJ
ap-1193	156	7	:	:	PUNCT
ap-1193	156	8	they	they	PRON
ap-1193	156	9	are	be	AUX
ap-1193	156	10	analogues	analogue	NOUN
ap-1193	156	11	of	of	ADP
ap-1193	156	12	chiral	chiral	ADJ
ap-1193	156	13	2d	2d	NOUN
ap-1193	156	14	currents	current	NOUN
ap-1193	156	15	;	;	PUNCT
ap-1193	156	16	a	a	DET
ap-1193	156	17	set	set	NOUN
ap-1193	156	18	of	of	ADP
ap-1193	156	19	bifields	bifield	NOUN
ap-1193	156	20	invariant	invariant	ADJ
ap-1193	156	21	under	under	ADP
ap-1193	156	22	space	space	NOUN
ap-1193	156	23	reflections	reflection	NOUN
ap-1193	156	24	would	would	AUX
ap-1193	156	25	also	also	ADV
ap-1193	156	26	involve	involve	VERB
ap-1193	156	27	their	their	PRON
ap-1193	156	28	righthanded	righthande	VERB
ap-1193	156	29	counterparts	counterpart	NOUN
ap-1193	156	30	(	(	PUNCT
ap-1193	156	31	of	of	ADP
ap-1193	156	32	weights	weight	NOUN
ap-1193	156	33	(	(	PUNCT
ap-1193	156	34	(	(	PUNCT
ap-1193	156	35	3/2	3/2	NUM
ap-1193	156	36	;	;	PUNCT
ap-1193	156	37	0	0	NUM
ap-1193	156	38	,	,	PUNCT
ap-1193	156	39	1/2	1/2	NUM
ap-1193	156	40	)	)	PUNCT
ap-1193	156	41	,	,	PUNCT
ap-1193	156	42	(	(	PUNCT
ap-1193	156	43	3/2	3/2	NUM
ap-1193	156	44	;	;	PUNCT
ap-1193	156	45	1/2	1/2	NUM
ap-1193	156	46	,	,	PUNCT
ap-1193	156	47	0	0	NUM
ap-1193	156	48	)	)	PUNCT
ap-1193	156	49	)	)	PUNCT
ap-1193	157	1	and	and	CCONJ
ap-1193	157	2	(	(	PUNCT
ap-1193	157	3	(	(	PUNCT
ap-1193	157	4	2	2	NUM
ap-1193	157	5	;	;	PUNCT
ap-1193	157	6	0	0	NUM
ap-1193	157	7	,	,	PUNCT
ap-1193	157	8	1	1	NUM
ap-1193	157	9	)	)	PUNCT
ap-1193	157	10	,	,	PUNCT
ap-1193	157	11	(	(	PUNCT
ap-1193	157	12	2	2	NUM
ap-1193	157	13	;	;	PUNCT
ap-1193	157	14	1	1	NUM
ap-1193	157	15	,	,	PUNCT
ap-1193	157	16	0	0	NUM
ap-1193	157	17	)	)	PUNCT
ap-1193	157	18	)	)	PUNCT
ap-1193	157	19	,	,	PUNCT
ap-1193	157	20	respectively	respectively	ADV
ap-1193	157	21	)	)	PUNCT
ap-1193	157	22	.	.	PUNCT
ap-1193	158	1	4	4	NUM
ap-1193	158	2	infinite	infinite	ADJ
ap-1193	158	3	dimensional	dimensional	ADJ
ap-1193	158	4	lie	lie	NOUN
ap-1193	158	5	algebras	algebra	NOUN
ap-1193	158	6	and	and	CCONJ
ap-1193	158	7	real	real	ADJ
ap-1193	158	8	division	division	NOUN
ap-1193	158	9	rings	ring	NOUN
ap-1193	158	10	our	our	PRON
ap-1193	158	11	starting	starting	NOUN
ap-1193	158	12	point	point	NOUN
ap-1193	158	13	is	be	AUX
ap-1193	158	14	the	the	DET
ap-1193	158	15	following	following	ADJ
ap-1193	158	16	result	result	NOUN
ap-1193	158	17	of	of	ADP
ap-1193	158	18	[	[	X
ap-1193	158	19	36	36	NUM
ap-1193	158	20	]	]	PUNCT
ap-1193	158	21	.	.	PUNCT
ap-1193	159	1	proposition	proposition	NOUN
ap-1193	159	2	4.1	4.1	NUM
ap-1193	159	3	.	.	PUNCT
ap-1193	160	1	the	the	DET
ap-1193	160	2	harmonic	harmonic	ADJ
ap-1193	160	3	bilocal	bilocal	ADJ
ap-1193	160	4	fields	field	NOUN
ap-1193	160	5	v	v	ADP
ap-1193	160	6	arising	arise	VERB
ap-1193	160	7	in	in	ADP
ap-1193	160	8	the	the	DET
ap-1193	160	9	opes	ope	NOUN
ap-1193	160	10	of	of	ADP
ap-1193	160	11	a	a	DET
ap-1193	160	12	(	(	PUNCT
ap-1193	160	13	finite	finite	PROPN
ap-1193	160	14	)	)	PUNCT
ap-1193	160	15	set	set	NOUN
ap-1193	160	16	of	of	ADP
ap-1193	160	17	local	local	ADJ
ap-1193	160	18	hermitean	hermitean	ADJ
ap-1193	160	19	scalar	scalar	ADJ
ap-1193	160	20	fields	field	NOUN
ap-1193	160	21	of	of	ADP
ap-1193	160	22	dimension	dimension	NOUN
ap-1193	160	23	d	d	NOUN
ap-1193	160	24	=	=	SYM
ap-1193	160	25	2	2	NUM
ap-1193	160	26	can	can	AUX
ap-1193	160	27	be	be	AUX
ap-1193	160	28	labeled	label	VERB
ap-1193	160	29	by	by	ADP
ap-1193	160	30	the	the	DET
ap-1193	160	31	elements	element	NOUN
ap-1193	160	32	m	m	VERB
ap-1193	160	33	of	of	ADP
ap-1193	160	34	an	an	DET
ap-1193	160	35	unital	unital	ADJ
ap-1193	160	36	algebra	algebra	NOUN
ap-1193	160	37	m	m	VERB
ap-1193	160	38	⊂	⊂	PROPN
ap-1193	160	39	mat(l	mat(l	PROPN
ap-1193	160	40	,	,	PUNCT
ap-1193	160	41	r	r	NOUN
ap-1193	160	42	)	)	PUNCT
ap-1193	160	43	of	of	ADP
ap-1193	160	44	real	real	ADJ
ap-1193	160	45	matrices	matrix	NOUN
ap-1193	160	46	closed	close	VERB
ap-1193	160	47	under	under	ADP
ap-1193	160	48	transposition	transposition	NOUN
ap-1193	160	49	,	,	PUNCT
ap-1193	160	50	m	m	PROPN
ap-1193	160	51	→	→	SYM
ap-1193	160	52	tm	tm	NOUN
ap-1193	160	53	,	,	PUNCT
ap-1193	160	54	in	in	ADP
ap-1193	160	55	such	such	DET
ap-1193	160	56	a	a	DET
ap-1193	160	57	way	way	NOUN
ap-1193	160	58	that	that	PRON
ap-1193	160	59	the	the	DET
ap-1193	160	60	following	follow	VERB
ap-1193	160	61	commutation	commutation	NOUN
ap-1193	160	62	relations	relation	NOUN
ap-1193	160	63	(	(	PUNCT
ap-1193	160	64	cr	cr	NOUN
ap-1193	160	65	)	)	PUNCT
ap-1193	160	66	hold	hold	VERB
ap-1193	160	67	:	:	PUNCT
ap-1193	161	1	[	[	X
ap-1193	161	2	vm1(x1	vm1(x1	X
ap-1193	161	3	,	,	PUNCT
ap-1193	161	4	x2	x2	PROPN
ap-1193	161	5	)	)	PUNCT
ap-1193	161	6	,	,	PUNCT
ap-1193	161	7	vm2	vm2	NOUN
ap-1193	161	8	(	(	PUNCT
ap-1193	161	9	x3	x3	PROPN
ap-1193	161	10	,	,	PUNCT
ap-1193	161	11	x4	x4	PROPN
ap-1193	161	12	)	)	PUNCT
ap-1193	161	13	]	]	PUNCT
ap-1193	162	1	=	=	SYM
ap-1193	162	2	δ13vtm1m2(x2	δ13vtm1m2(x2	NOUN
ap-1193	162	3	,	,	PUNCT
ap-1193	162	4	x4	x4	PROPN
ap-1193	162	5	)	)	PUNCT
ap-1193	162	6	+	+	CCONJ
ap-1193	162	7	δ24vm1	δ24vm1	PROPN
ap-1193	162	8	tm2(x1	tm2(x1	NUM
ap-1193	162	9	,	,	PUNCT
ap-1193	162	10	x3	x3	ADJ
ap-1193	162	11	)	)	PUNCT
ap-1193	162	12	+	+	CCONJ
ap-1193	162	13	δ23vm1m2(x1	δ23vm1m2(x1	ADJ
ap-1193	162	14	,	,	PUNCT
ap-1193	162	15	x4	x4	PROPN
ap-1193	162	16	)	)	PUNCT
ap-1193	162	17	+	+	CCONJ
ap-1193	162	18	δ14vm2m1(x3	δ14vm2m1(x3	ADV
ap-1193	162	19	,	,	PUNCT
ap-1193	162	20	x2	x2	PROPN
ap-1193	162	21	)	)	PUNCT
ap-1193	162	22	+	+	CCONJ
ap-1193	162	23	tr(m1m2)δ12,34	tr(m1m2)δ12,34	PROPN
ap-1193	162	24	+	+	CCONJ
ap-1193	162	25	tr(tm1m2)δ12,43	tr(tm1m2)δ12,43	ADJ
ap-1193	162	26	;	;	PUNCT
ap-1193	162	27	(	(	PUNCT
ap-1193	162	28	4.1	4.1	NUM
ap-1193	162	29	)	)	PUNCT
ap-1193	162	30	here	here	ADV
ap-1193	162	31	δij	δij	NOUN
ap-1193	162	32	is	be	AUX
ap-1193	162	33	the	the	DET
ap-1193	162	34	free	free	ADJ
ap-1193	162	35	field	field	NOUN
ap-1193	162	36	commutator	commutator	NOUN
ap-1193	162	37	,	,	PUNCT
ap-1193	162	38	δij	δij	NOUN
ap-1193	162	39	:	:	PUNCT
ap-1193	162	40	=	=	PUNCT
ap-1193	162	41	δ	δ	PROPN
ap-1193	163	1	+	+	PUNCT
ap-1193	163	2	ij	ij	INTJ
ap-1193	163	3	−	−	PROPN
ap-1193	163	4	δ+ji	δ+ji	PROPN
ap-1193	163	5	,	,	PUNCT
ap-1193	163	6	and	and	CCONJ
ap-1193	163	7	δ12,ij	δ12,ij	PROPN
ap-1193	163	8	=	=	SYM
ap-1193	163	9	δ	δ	PROPN
ap-1193	163	10	+	+	NUM
ap-1193	163	11	1iδ	1iδ	ADJ
ap-1193	164	1	+	+	X
ap-1193	164	2	2j	2j	NUM
ap-1193	164	3	−	−	NOUN
ap-1193	165	1	δ+i1δ+j2	δ+i1δ+j2	NOUN
ap-1193	165	2	where	where	SCONJ
ap-1193	165	3	δ+ij	δ+ij	NOUN
ap-1193	165	4	=	=	SYM
ap-1193	165	5	δ+(xi	δ+(xi	PROPN
ap-1193	165	6	−	−	PROPN
ap-1193	165	7	xj	xj	PROPN
ap-1193	165	8	)	)	PUNCT
ap-1193	165	9	is	be	AUX
ap-1193	165	10	the	the	DET
ap-1193	165	11	2	2	NUM
ap-1193	165	12	-	-	PUNCT
ap-1193	165	13	point	point	NOUN
ap-1193	165	14	wightman	wightman	NOUN
ap-1193	165	15	function	function	NOUN
ap-1193	165	16	of	of	ADP
ap-1193	165	17	a	a	DET
ap-1193	165	18	free	free	ADJ
ap-1193	165	19	massless	massless	NOUN
ap-1193	165	20	scalar	scalar	ADJ
ap-1193	165	21	field	field	NOUN
ap-1193	165	22	.	.	PUNCT
ap-1193	166	1	we	we	PRON
ap-1193	166	2	call	call	VERB
ap-1193	166	3	the	the	DET
ap-1193	166	4	set	set	NOUN
ap-1193	166	5	of	of	ADP
ap-1193	166	6	bilocal	bilocal	ADJ
ap-1193	166	7	fields	field	NOUN
ap-1193	166	8	closed	close	VERB
ap-1193	166	9	under	under	ADP
ap-1193	166	10	the	the	DET
ap-1193	166	11	cr	cr	NOUN
ap-1193	166	12	(	(	PUNCT
ap-1193	166	13	4.1	4.1	NUM
ap-1193	166	14	)	)	PUNCT
ap-1193	166	15	a	a	DET
ap-1193	166	16	lie	lie	NOUN
ap-1193	166	17	system	system	NOUN
ap-1193	166	18	.	.	PUNCT
ap-1193	167	1	the	the	DET
ap-1193	167	2	types	type	NOUN
ap-1193	167	3	of	of	ADP
ap-1193	167	4	lie	lie	NOUN
ap-1193	167	5	systems	system	NOUN
ap-1193	167	6	are	be	AUX
ap-1193	167	7	determined	determine	VERB
ap-1193	167	8	by	by	ADP
ap-1193	167	9	the	the	DET
ap-1193	167	10	corresponding	corresponding	PROPN
ap-1193	167	11	t	t	PROPN
ap-1193	167	12	-	-	PUNCT
ap-1193	167	13	algebras	algebras	PROPN
ap-1193	167	14	–	–	PUNCT
ap-1193	167	15	i.e.	i.e.	X
ap-1193	167	16	,	,	PUNCT
ap-1193	167	17	real	real	ADJ
ap-1193	167	18	associative	associative	ADJ
ap-1193	167	19	matrix	matrix	NOUN
ap-1193	167	20	algebrasm	algebrasm	NOUN
ap-1193	167	21	closed	close	VERB
ap-1193	167	22	under	under	ADP
ap-1193	167	23	transposition	transposition	NOUN
ap-1193	167	24	.	.	PUNCT
ap-1193	168	1	we	we	PRON
ap-1193	168	2	first	first	ADV
ap-1193	168	3	observe	observe	VERB
ap-1193	168	4	that	that	SCONJ
ap-1193	168	5	each	each	DET
ap-1193	168	6	such	such	ADJ
ap-1193	168	7	m	m	VERB
ap-1193	168	8	can	can	AUX
ap-1193	168	9	be	be	AUX
ap-1193	168	10	equipped	equip	VERB
ap-1193	168	11	with	with	ADP
ap-1193	168	12	a	a	DET
ap-1193	168	13	frobenius	frobenius	ADJ
ap-1193	168	14	inner	inner	ADJ
ap-1193	168	15	product	product	NOUN
ap-1193	168	16	<	<	X
ap-1193	168	17	m1	m1	PROPN
ap-1193	168	18	,	,	PUNCT
ap-1193	168	19	m2	m2	PROPN
ap-1193	168	20	>	>	X
ap-1193	168	21	=	=	PUNCT
ap-1193	168	22	tr(tm1m2	tr(tm1m2	PUNCT
ap-1193	168	23	)	)	PUNCT
ap-1193	168	24	=	=	SYM
ap-1193	169	1	∑	∑	PUNCT
ap-1193	169	2	ij	ij	INTJ
ap-1193	169	3	(	(	PUNCT
ap-1193	169	4	m1)ij(m2)ij	m1)ij(m2)ij	NOUN
ap-1193	169	5	,	,	PUNCT
ap-1193	169	6	(	(	PUNCT
ap-1193	169	7	4.2	4.2	NUM
ap-1193	169	8	)	)	PUNCT
ap-1193	169	9	which	which	PRON
ap-1193	169	10	is	be	AUX
ap-1193	169	11	symmetric	symmetric	ADJ
ap-1193	169	12	,	,	PUNCT
ap-1193	169	13	positive	positive	ADJ
ap-1193	169	14	definite	definite	ADJ
ap-1193	169	15	,	,	PUNCT
ap-1193	169	16	and	and	CCONJ
ap-1193	169	17	has	have	VERB
ap-1193	169	18	the	the	DET
ap-1193	169	19	property	property	NOUN
ap-1193	169	20	<	<	X
ap-1193	169	21	m1m2	m1m2	PROPN
ap-1193	169	22	,	,	PUNCT
ap-1193	169	23	m3	m3	PROPN
ap-1193	169	24	>	>	PUNCT
ap-1193	169	25	=	=	PROPN
ap-1193	169	26	<	<	X
ap-1193	169	27	m1	m1	PROPN
ap-1193	169	28	,	,	PUNCT
ap-1193	169	29	m3	m3	PROPN
ap-1193	169	30	tm2	tm2	NOUN
ap-1193	169	31	>	>	X
ap-1193	169	32	.	.	PUNCT
ap-1193	170	1	this	this	PRON
ap-1193	170	2	implies	imply	VERB
ap-1193	170	3	that	that	SCONJ
ap-1193	170	4	for	for	ADP
ap-1193	170	5	every	every	DET
ap-1193	170	6	right	right	ADJ
ap-1193	170	7	ideal	ideal	NOUN
ap-1193	171	1	i	i	PRON
ap-1193	171	2	⊂	⊂	PROPN
ap-1193	171	3	m	m	VERB
ap-1193	171	4	its	its	PRON
ap-1193	171	5	orthogonal	orthogonal	ADJ
ap-1193	171	6	complement	complement	NOUN
ap-1193	171	7	is	be	AUX
ap-1193	171	8	again	again	ADV
ap-1193	171	9	a	a	DET
ap-1193	171	10	right	right	ADJ
ap-1193	171	11	ideal	ideal	NOUN
ap-1193	171	12	while	while	SCONJ
ap-1193	171	13	its	its	PRON
ap-1193	171	14	transposed	transpose	VERB
ap-1193	171	15	ti	ti	NOUN
ap-1193	171	16	is	be	AUX
ap-1193	171	17	a	a	DET
ap-1193	171	18	left	left	ADJ
ap-1193	171	19	ideal	ideal	NOUN
ap-1193	171	20	.	.	PUNCT
ap-1193	172	1	therefore	therefore	ADV
ap-1193	172	2	,	,	PUNCT
ap-1193	172	3	m	m	VERB
ap-1193	172	4	is	be	AUX
ap-1193	172	5	a	a	DET
ap-1193	172	6	semisimple	semisimple	NOUN
ap-1193	172	7	algebra	algebra	NOUN
ap-1193	172	8	so	so	SCONJ
ap-1193	172	9	that	that	SCONJ
ap-1193	172	10	every	every	DET
ap-1193	172	11	module	module	NOUN
ap-1193	172	12	over	over	ADP
ap-1193	172	13	m	m	PROPN
ap-1193	172	14	is	be	AUX
ap-1193	172	15	a	a	DET
ap-1193	172	16	direct	direct	ADJ
ap-1193	172	17	sum	sum	NOUN
ap-1193	172	18	of	of	ADP
ap-1193	172	19	irreducible	irreducible	ADJ
ap-1193	172	20	modules	module	NOUN
ap-1193	172	21	.	.	PUNCT
ap-1193	173	1	let	let	VERB
ap-1193	173	2	now	now	ADV
ap-1193	173	3	m	m	AUX
ap-1193	173	4	be	be	AUX
ap-1193	173	5	irreducible	irreducible	ADJ
ap-1193	173	6	.	.	PUNCT
ap-1193	174	1	it	it	PRON
ap-1193	174	2	then	then	ADV
ap-1193	174	3	follows	follow	VERB
ap-1193	174	4	from	from	ADP
ap-1193	174	5	the	the	DET
ap-1193	174	6	schur	schur	PROPN
ap-1193	174	7	’s	’s	PART
ap-1193	174	8	lemma	lemma	PROPN
ap-1193	174	9	(	(	PUNCT
ap-1193	174	10	whose	whose	DET
ap-1193	174	11	real	real	ADJ
ap-1193	174	12	version	version	NOUN
ap-1193	174	13	[	[	X
ap-1193	174	14	27	27	NUM
ap-1193	174	15	]	]	X
ap-1193	174	16	is	be	AUX
ap-1193	174	17	richer	rich	ADJ
ap-1193	174	18	2the	2the	NUM
ap-1193	174	19	twist	twist	NOUN
ap-1193	174	20	of	of	ADP
ap-1193	174	21	a	a	DET
ap-1193	174	22	symmetric	symmetric	ADJ
ap-1193	174	23	traceless	traceless	NOUN
ap-1193	174	24	tensor	tensor	NOUN
ap-1193	174	25	is	be	AUX
ap-1193	174	26	defined	define	VERB
ap-1193	174	27	as	as	ADP
ap-1193	174	28	the	the	DET
ap-1193	174	29	difference	difference	NOUN
ap-1193	174	30	between	between	ADP
ap-1193	174	31	its	its	PRON
ap-1193	174	32	dimension	dimension	NOUN
ap-1193	174	33	and	and	CCONJ
ap-1193	174	34	its	its	PRON
ap-1193	174	35	rank	rank	NOUN
ap-1193	174	36	.	.	PUNCT
ap-1193	175	1	all	all	PRON
ap-1193	175	2	conserved	conserve	VERB
ap-1193	175	3	symmetric	symmetric	ADJ
ap-1193	175	4	tensors	tensor	NOUN
ap-1193	175	5	in	in	ADP
ap-1193	175	6	4d	4d	NUM
ap-1193	175	7	have	have	VERB
ap-1193	175	8	twist	twist	NOUN
ap-1193	175	9	two	two	NUM
ap-1193	175	10	.	.	PUNCT
ap-1193	176	1	57	57	NUM
ap-1193	176	2	acta	acta	PROPN
ap-1193	176	3	polytechnica	polytechnica	PROPN
ap-1193	176	4	vol	vol	NOUN
ap-1193	176	5	.	.	PROPN
ap-1193	177	1	50	50	NUM
ap-1193	177	2	no	no	NOUN
ap-1193	177	3	.	.	PUNCT
ap-1193	178	1	3/2010	3/2010	NUM
ap-1193	178	2	but	but	CCONJ
ap-1193	178	3	less	less	ADV
ap-1193	178	4	popular	popular	ADJ
ap-1193	178	5	than	than	ADP
ap-1193	178	6	the	the	DET
ap-1193	178	7	complex	complex	ADJ
ap-1193	178	8	one	one	NUM
ap-1193	178	9	)	)	PUNCT
ap-1193	178	10	that	that	SCONJ
ap-1193	178	11	its	its	PRON
ap-1193	178	12	commutant	commutant	ADJ
ap-1193	178	13	m′	m′	NOUN
ap-1193	178	14	in	in	ADP
ap-1193	178	15	mat(l	mat(l	PROPN
ap-1193	178	16	,	,	PUNCT
ap-1193	178	17	r	r	NOUN
ap-1193	178	18	)	)	PUNCT
ap-1193	178	19	coincides	coincide	VERB
ap-1193	178	20	with	with	ADP
ap-1193	178	21	one	one	NUM
ap-1193	178	22	of	of	ADP
ap-1193	178	23	the	the	DET
ap-1193	178	24	three	three	NUM
ap-1193	178	25	real	real	ADJ
ap-1193	178	26	division	division	NOUN
ap-1193	178	27	rings	ring	NOUN
ap-1193	178	28	(	(	PUNCT
ap-1193	178	29	or	or	CCONJ
ap-1193	178	30	not	not	PART
ap-1193	178	31	necessarily	necessarily	ADV
ap-1193	178	32	commutative	commutative	ADJ
ap-1193	178	33	fields	field	NOUN
ap-1193	178	34	):	):	PUNCT
ap-1193	178	35	the	the	DET
ap-1193	178	36	fields	field	NOUN
ap-1193	178	37	of	of	ADP
ap-1193	178	38	real	real	ADJ
ap-1193	178	39	and	and	CCONJ
ap-1193	178	40	complex	complex	ADJ
ap-1193	178	41	numbers	number	NOUN
ap-1193	178	42	r	r	NOUN
ap-1193	178	43	and	and	CCONJ
ap-1193	178	44	c	c	NOUN
ap-1193	178	45	,	,	PUNCT
ap-1193	178	46	and	and	CCONJ
ap-1193	178	47	the	the	DET
ap-1193	178	48	noncommutative	noncommutative	ADJ
ap-1193	178	49	division	division	NOUN
ap-1193	178	50	ring	ring	NOUN
ap-1193	178	51	h	h	NOUN
ap-1193	178	52	of	of	ADP
ap-1193	178	53	quaternions	quaternion	NOUN
ap-1193	178	54	.	.	PUNCT
ap-1193	179	1	in	in	ADP
ap-1193	179	2	each	each	DET
ap-1193	179	3	case	case	NOUN
ap-1193	179	4	the	the	DET
ap-1193	179	5	lie	lie	NOUN
ap-1193	179	6	algebra	algebra	NOUN
ap-1193	179	7	of	of	ADP
ap-1193	179	8	bilocal	bilocal	ADJ
ap-1193	179	9	fields	field	NOUN
ap-1193	179	10	is	be	AUX
ap-1193	179	11	a	a	DET
ap-1193	179	12	central	central	ADJ
ap-1193	179	13	extension	extension	NOUN
ap-1193	179	14	of	of	ADP
ap-1193	179	15	an	an	DET
ap-1193	179	16	infinite	infinite	ADJ
ap-1193	179	17	dimensional	dimensional	ADJ
ap-1193	179	18	lie	lie	NOUN
ap-1193	179	19	algebra	algebra	NOUN
ap-1193	179	20	that	that	PRON
ap-1193	179	21	admits	admit	VERB
ap-1193	179	22	a	a	DET
ap-1193	179	23	discrete	discrete	ADJ
ap-1193	179	24	series	series	NOUN
ap-1193	179	25	of	of	ADP
ap-1193	179	26	highest	high	ADJ
ap-1193	179	27	weight	weight	NOUN
ap-1193	179	28	representations3	representations3	NOUN
ap-1193	179	29	.	.	PUNCT
ap-1193	180	1	it	it	PRON
ap-1193	180	2	was	be	AUX
ap-1193	180	3	proven	prove	VERB
ap-1193	180	4	,	,	PUNCT
ap-1193	180	5	first	first	ADV
ap-1193	180	6	in	in	ADP
ap-1193	180	7	the	the	DET
ap-1193	180	8	theory	theory	NOUN
ap-1193	180	9	of	of	ADP
ap-1193	180	10	a	a	DET
ap-1193	180	11	single	single	ADJ
ap-1193	180	12	scalar	scalar	ADJ
ap-1193	180	13	field	field	NOUN
ap-1193	180	14	φ	φ	PROPN
ap-1193	180	15	(	(	PUNCT
ap-1193	180	16	of	of	ADP
ap-1193	180	17	dimension	dimension	NOUN
ap-1193	180	18	two	two	NUM
ap-1193	180	19	)	)	PUNCT
ap-1193	181	1	[	[	X
ap-1193	181	2	33	33	NUM
ap-1193	181	3	]	]	PUNCT
ap-1193	181	4	,	,	PUNCT
ap-1193	181	5	and	and	CCONJ
ap-1193	181	6	eventually	eventually	ADV
ap-1193	181	7	for	for	ADP
ap-1193	181	8	an	an	DET
ap-1193	181	9	arbitrary	arbitrary	ADJ
ap-1193	181	10	set	set	NOUN
ap-1193	181	11	of	of	ADP
ap-1193	181	12	such	such	ADJ
ap-1193	181	13	fields	field	NOUN
ap-1193	181	14	[	[	X
ap-1193	181	15	36	36	NUM
ap-1193	181	16	]	]	PUNCT
ap-1193	181	17	,	,	PUNCT
ap-1193	181	18	that	that	SCONJ
ap-1193	181	19	the	the	DET
ap-1193	181	20	bilocal	bilocal	ADJ
ap-1193	181	21	fields	field	NOUN
ap-1193	181	22	vm	vm	PROPN
ap-1193	181	23	can	can	AUX
ap-1193	181	24	be	be	AUX
ap-1193	181	25	written	write	VERB
ap-1193	181	26	as	as	ADP
ap-1193	181	27	linear	linear	ADJ
ap-1193	181	28	combinations	combination	NOUN
ap-1193	181	29	of	of	ADP
ap-1193	181	30	normal	normal	ADJ
ap-1193	181	31	products	product	NOUN
ap-1193	181	32	of	of	ADP
ap-1193	181	33	free	free	ADJ
ap-1193	181	34	massless	massless	NOUN
ap-1193	181	35	scalar	scalar	ADJ
ap-1193	181	36	fields	field	NOUN
ap-1193	181	37	ϕi(x	ϕi(x	NUM
ap-1193	181	38	):	):	PUNCT
ap-1193	181	39	vm	vm	PROPN
ap-1193	181	40	(	(	PUNCT
ap-1193	181	41	x1	x1	PROPN
ap-1193	181	42	,	,	PUNCT
ap-1193	181	43	x2	x2	PROPN
ap-1193	181	44	)	)	PUNCT
ap-1193	181	45	=	=	VERB
ap-1193	182	1	l∑	l∑	PROPN
ap-1193	183	1	i	i	PRON
ap-1193	183	2	,	,	PUNCT
ap-1193	183	3	j=1	j=1	PROPN
ap-1193	183	4	m	m	VERB
ap-1193	183	5	ij	ij	INTJ
ap-1193	183	6	:	:	PUNCT
ap-1193	183	7	ϕi(x1)ϕj(x2	ϕi(x1)ϕj(x2	NOUN
ap-1193	183	8	)	)	PUNCT
ap-1193	183	9	:	:	PUNCT
ap-1193	183	10	.	.	PUNCT
ap-1193	184	1	(	(	PUNCT
ap-1193	184	2	4.3	4.3	NUM
ap-1193	184	3	)	)	PUNCT
ap-1193	184	4	for	for	ADP
ap-1193	184	5	each	each	PRON
ap-1193	184	6	of	of	ADP
ap-1193	184	7	the	the	DET
ap-1193	184	8	above	above	ADJ
ap-1193	184	9	types	type	NOUN
ap-1193	184	10	of	of	ADP
ap-1193	184	11	lie	lie	NOUN
ap-1193	184	12	systems	system	NOUN
ap-1193	184	13	vm	vm	PROPN
ap-1193	184	14	has	have	VERB
ap-1193	184	15	a	a	DET
ap-1193	184	16	canonical	canonical	ADJ
ap-1193	184	17	form	form	NOUN
ap-1193	184	18	,	,	PUNCT
ap-1193	184	19	namely	namely	ADV
ap-1193	184	20	r	r	NOUN
ap-1193	184	21	:	:	PUNCT
ap-1193	184	22	v	v	NOUN
ap-1193	184	23	(	(	PUNCT
ap-1193	184	24	x1	x1	PROPN
ap-1193	184	25	,	,	PUNCT
ap-1193	184	26	x2	x2	PROPN
ap-1193	184	27	)	)	PUNCT
ap-1193	185	1	=	=	PUNCT
ap-1193	185	2	n∑	n∑	NOUN
ap-1193	185	3	i=1	i=1	X
ap-1193	185	4	:	:	PUNCT
ap-1193	185	5	ϕi(x1)ϕi(x2	ϕi(x1)ϕi(x2	NOUN
ap-1193	185	6	)	)	PUNCT
ap-1193	185	7	:	:	PUNCT
ap-1193	185	8	,	,	PUNCT
ap-1193	185	9	c	c	X
ap-1193	185	10	:	:	PUNCT
ap-1193	185	11	w	w	X
ap-1193	185	12	(	(	PUNCT
ap-1193	185	13	x1	x1	PROPN
ap-1193	185	14	,	,	PUNCT
ap-1193	185	15	x2	x2	PROPN
ap-1193	185	16	)	)	PUNCT
ap-1193	185	17	=	=	PUNCT
ap-1193	186	1	n∑	n∑	NOUN
ap-1193	186	2	j=1	j=1	NOUN
ap-1193	186	3	:	:	PUNCT
ap-1193	186	4	ϕ∗	ϕ∗	PROPN
ap-1193	186	5	j	j	PROPN
ap-1193	186	6	(	(	PUNCT
ap-1193	186	7	x1)ϕj(x2	x1)ϕj(x2	PROPN
ap-1193	186	8	)	)	PUNCT
ap-1193	186	9	:	:	PUNCT
ap-1193	186	10	,	,	PUNCT
ap-1193	186	11	h	h	NOUN
ap-1193	186	12	:	:	PUNCT
ap-1193	186	13	y	y	PROPN
ap-1193	186	14	(	(	PUNCT
ap-1193	186	15	x1	x1	PROPN
ap-1193	186	16	,	,	PUNCT
ap-1193	186	17	x2	x2	PROPN
ap-1193	186	18	)	)	PUNCT
ap-1193	186	19	=	=	SYM
ap-1193	187	1	n∑	n∑	PROPN
ap-1193	187	2	m=1	m=1	X
ap-1193	187	3	:	:	PUNCT
ap-1193	187	4	ϕ+m(x1)ϕm(x2	ϕ+m(x1)ϕm(x2	X
ap-1193	187	5	)	)	PUNCT
ap-1193	187	6	:	:	PUNCT
ap-1193	187	7	(	(	PUNCT
ap-1193	187	8	4.4	4.4	NUM
ap-1193	187	9	)	)	PUNCT
ap-1193	187	10	where	where	SCONJ
ap-1193	187	11	ϕi	ϕi	ADP
ap-1193	187	12	are	be	AUX
ap-1193	187	13	real	real	ADJ
ap-1193	187	14	,	,	PUNCT
ap-1193	187	15	ϕj	ϕj	INTJ
ap-1193	187	16	are	be	AUX
ap-1193	187	17	complex	complex	ADJ
ap-1193	187	18	,	,	PUNCT
ap-1193	187	19	and	and	CCONJ
ap-1193	187	20	ϕm	ϕm	PRON
ap-1193	187	21	are	be	AUX
ap-1193	187	22	quaternionic	quaternionic	ADJ
ap-1193	187	23	valued	value	VERB
ap-1193	187	24	fields	field	NOUN
ap-1193	187	25	(	(	PUNCT
ap-1193	187	26	corresponding	correspond	VERB
ap-1193	187	27	to	to	ADP
ap-1193	187	28	(	(	PUNCT
ap-1193	187	29	3.2	3.2	NUM
ap-1193	187	30	)	)	PUNCT
ap-1193	187	31	with	with	ADP
ap-1193	187	32	l	l	NOUN
ap-1193	187	33	=	=	SYM
ap-1193	187	34	n	n	CCONJ
ap-1193	187	35	,	,	PUNCT
ap-1193	187	36	2n	2n	NUM
ap-1193	187	37	,	,	PUNCT
ap-1193	187	38	and	and	CCONJ
ap-1193	187	39	4n	4n	NOUN
ap-1193	187	40	,	,	PUNCT
ap-1193	187	41	respectively	respectively	ADV
ap-1193	187	42	)	)	PUNCT
ap-1193	187	43	.	.	PUNCT
ap-1193	188	1	we	we	PRON
ap-1193	188	2	shall	shall	AUX
ap-1193	188	3	denote	denote	VERB
ap-1193	188	4	the	the	DET
ap-1193	188	5	associated	associated	ADJ
ap-1193	188	6	infinite	infinite	ADJ
ap-1193	188	7	dimensional	dimensional	ADJ
ap-1193	188	8	lie	lie	NOUN
ap-1193	188	9	algebra	algebra	NOUN
ap-1193	188	10	by	by	ADP
ap-1193	188	11	l(f	l(f	PROPN
ap-1193	188	12	)	)	PUNCT
ap-1193	188	13	,	,	PUNCT
ap-1193	188	14	f	f	X
ap-1193	188	15	=	=	SYM
ap-1193	188	16	r	r	PROPN
ap-1193	188	17	,	,	PUNCT
ap-1193	188	18	c	c	NOUN
ap-1193	188	19	,	,	PUNCT
ap-1193	188	20	or	or	CCONJ
ap-1193	188	21	h.	h.	PROPN
ap-1193	188	22	remark	remark	NOUN
ap-1193	188	23	4.1	4.1	NUM
ap-1193	188	24	we	we	PRON
ap-1193	188	25	note	note	VERB
ap-1193	188	26	that	that	SCONJ
ap-1193	188	27	the	the	DET
ap-1193	188	28	quaternions	quaternion	NOUN
ap-1193	188	29	(	(	PUNCT
ap-1193	188	30	represented	represent	VERB
ap-1193	188	31	by	by	ADP
ap-1193	188	32	4×4	4×4	NUM
ap-1193	188	33	real	real	ADJ
ap-1193	188	34	matrices	matrix	NOUN
ap-1193	188	35	)	)	PUNCT
ap-1193	188	36	appear	appear	VERB
ap-1193	188	37	both	both	PRON
ap-1193	188	38	in	in	ADP
ap-1193	188	39	the	the	DET
ap-1193	188	40	definition	definition	NOUN
ap-1193	188	41	of	of	ADP
ap-1193	188	42	y	y	PROPN
ap-1193	188	43	–	–	PUNCT
ap-1193	188	44	i.e.	i.e.	X
ap-1193	188	45	,	,	PUNCT
ap-1193	188	46	of	of	ADP
ap-1193	188	47	the	the	DET
ap-1193	188	48	matrix	matrix	NOUN
ap-1193	188	49	algebram	algebram	NOUN
ap-1193	188	50	,	,	PUNCT
ap-1193	188	51	and	and	CCONJ
ap-1193	188	52	of	of	ADP
ap-1193	188	53	its	its	PRON
ap-1193	188	54	commutant	commutant	ADJ
ap-1193	188	55	m′	m′	NOUN
ap-1193	188	56	,	,	PUNCT
ap-1193	188	57	the	the	DET
ap-1193	188	58	two	two	NUM
ap-1193	188	59	mutually	mutually	ADV
ap-1193	188	60	commuting	commute	VERB
ap-1193	188	61	sets	set	NOUN
ap-1193	188	62	of	of	ADP
ap-1193	188	63	imaginary	imaginary	ADJ
ap-1193	188	64	quaternionic	quaternionic	ADJ
ap-1193	188	65	units	unit	NOUN
ap-1193	188	66	�	�	VERB
ap-1193	188	67	i	i	PROPN
ap-1193	188	68	and	and	CCONJ
ap-1193	188	69	rj	rj	PROPN
ap-1193	188	70	corresponding	correspond	VERB
ap-1193	188	71	to	to	ADP
ap-1193	188	72	the	the	DET
ap-1193	188	73	splitting	splitting	NOUN
ap-1193	188	74	of	of	ADP
ap-1193	188	75	the	the	DET
ap-1193	188	76	lie	lie	NOUN
ap-1193	188	77	algebra	algebra	PROPN
ap-1193	188	78	so(4	so(4	PROPN
ap-1193	188	79	)	)	PUNCT
ap-1193	188	80	of	of	ADP
ap-1193	188	81	real	real	ADJ
ap-1193	188	82	skewsymmetric	skewsymmetric	ADJ
ap-1193	188	83	4	4	NUM
ap-1193	188	84	×	×	NOUN
ap-1193	188	85	4	4	NUM
ap-1193	188	86	matrices	matrix	NOUN
ap-1193	188	87	into	into	ADP
ap-1193	188	88	a	a	DET
ap-1193	188	89	direct	direct	ADJ
ap-1193	188	90	sum	sum	NOUN
ap-1193	188	91	of	of	ADP
ap-1193	188	92	“	"	PUNCT
ap-1193	188	93	a	a	DET
ap-1193	188	94	left	left	NOUN
ap-1193	188	95	and	and	CCONJ
ap-1193	188	96	a	a	DET
ap-1193	188	97	right	right	ADJ
ap-1193	188	98	”	"	PUNCT
ap-1193	188	99	so(3	so(3	NOUN
ap-1193	188	100	)	)	PUNCT
ap-1193	188	101	lie	lie	NOUN
ap-1193	188	102	subalgebras	subalgebras	PROPN
ap-1193	188	103	:	:	PUNCT
ap-1193	188	104	�	�	PROPN
ap-1193	188	105	1	1	NUM
ap-1193	188	106	=	=	SYM
ap-1193	188	107	σ3	σ3	PROPN
ap-1193	188	108	⊗	⊗	PROPN
ap-1193	188	109	ε	ε	PROPN
ap-1193	188	110	,	,	PUNCT
ap-1193	188	111	�	�	PROPN
ap-1193	188	112	2	2	NUM
ap-1193	188	113	=	=	SYM
ap-1193	188	114	ε⊗	ε⊗	NOUN
ap-1193	188	115	1	1	NUM
ap-1193	188	116	,	,	PUNCT
ap-1193	188	117	�	�	PROPN
ap-1193	188	118	3	3	NUM
ap-1193	188	119	=	=	SYM
ap-1193	188	120	�	�	PROPN
ap-1193	188	121	1	1	NUM
ap-1193	188	122	�	�	PROPN
ap-1193	188	123	2	2	NUM
ap-1193	188	124	=	=	SYM
ap-1193	188	125	σ1	σ1	PROPN
ap-1193	188	126	⊗	⊗	PROPN
ap-1193	188	127	ε	ε	PROPN
ap-1193	188	128	,	,	PUNCT
ap-1193	188	129	(	(	PUNCT
ap-1193	188	130	�	�	X
ap-1193	189	1	j)αβ	j)αβ	NOUN
ap-1193	189	2	=	=	PUNCT
ap-1193	189	3	δα0δjβ	δα0δjβ	NOUN
ap-1193	189	4	−	−	PROPN
ap-1193	189	5	δαjδ0β	δαjδ0β	NOUN
ap-1193	189	6	−	−	PROPN
ap-1193	189	7	ε0jαβ	ε0jαβ	PROPN
ap-1193	189	8	,	,	PUNCT
ap-1193	189	9	α	α	X
ap-1193	189	10	,	,	PUNCT
ap-1193	189	11	β	β	X
ap-1193	189	12	=	=	SYM
ap-1193	189	13	0	0	NUM
ap-1193	189	14	,	,	PUNCT
ap-1193	189	15	1	1	NUM
ap-1193	189	16	,	,	PUNCT
ap-1193	189	17	2	2	NUM
ap-1193	189	18	,	,	PUNCT
ap-1193	189	19	3	3	NUM
ap-1193	189	20	,	,	PUNCT
ap-1193	189	21	j	j	PROPN
ap-1193	189	22	=	=	SYM
ap-1193	189	23	1	1	NUM
ap-1193	189	24	,	,	PUNCT
ap-1193	189	25	2	2	NUM
ap-1193	189	26	,	,	PUNCT
ap-1193	189	27	3	3	NUM
ap-1193	189	28	;	;	PUNCT
ap-1193	189	29	r1	r1	PROPN
ap-1193	189	30	=	=	PUNCT
ap-1193	189	31	ε⊗	ε⊗	PROPN
ap-1193	189	32	σ3	σ3	PROPN
ap-1193	189	33	,	,	PUNCT
ap-1193	189	34	r2	r2	PROPN
ap-1193	189	35	=	=	SYM
ap-1193	189	36	1⊗	1⊗	NUM
ap-1193	189	37	ε	ε	PROPN
ap-1193	189	38	,	,	PUNCT
ap-1193	189	39	r3	r3	PROPN
ap-1193	189	40	=	=	SYM
ap-1193	190	1	r1r2	r1r2	PROPN
ap-1193	190	2	=	=	SYM
ap-1193	190	3	ε⊗	ε⊗	PROPN
ap-1193	190	4	σ1	σ1	PROPN
ap-1193	190	5	(	(	PUNCT
ap-1193	190	6	4.5	4.5	NUM
ap-1193	190	7	)	)	PUNCT
ap-1193	190	8	where	where	SCONJ
ap-1193	190	9	σk	σk	ADV
ap-1193	190	10	are	be	AUX
ap-1193	190	11	the	the	DET
ap-1193	190	12	pauli	pauli	PROPN
ap-1193	190	13	matrices	matrix	NOUN
ap-1193	190	14	,	,	PUNCT
ap-1193	190	15	ε	ε	PROPN
ap-1193	190	16	=	=	PUNCT
ap-1193	190	17	iσ2	iσ2	NOUN
ap-1193	190	18	,	,	PUNCT
ap-1193	190	19	εμναβ	εμναβ	ADJ
ap-1193	190	20	is	be	AUX
ap-1193	190	21	the	the	DET
ap-1193	190	22	totally	totally	ADV
ap-1193	190	23	antisymmetric	antisymmetric	ADJ
ap-1193	190	24	levi	levi	PROPN
ap-1193	190	25	-	-	PUNCT
ap-1193	190	26	civita	civita	PROPN
ap-1193	190	27	tensor	tensor	NOUN
ap-1193	190	28	normalized	normalize	VERB
ap-1193	190	29	by	by	ADP
ap-1193	190	30	ε0123	ε0123	NOUN
ap-1193	190	31	=	=	SYM
ap-1193	190	32	1	1	X
ap-1193	190	33	.	.	X
ap-1193	191	1	we	we	PRON
ap-1193	191	2	have	have	VERB
ap-1193	191	3	y	y	PROPN
ap-1193	191	4	(	(	PUNCT
ap-1193	191	5	x1	x1	PROPN
ap-1193	191	6	,	,	PUNCT
ap-1193	191	7	x2	x2	PROPN
ap-1193	191	8	)	)	PUNCT
ap-1193	191	9	=	=	SYM
ap-1193	192	1	v0(x1	v0(x1	NOUN
ap-1193	192	2	,	,	PUNCT
ap-1193	192	3	x2)1	x2)1	PROPN
ap-1193	192	4	+	+	X
ap-1193	192	5	v1(x1	v1(x1	ADJ
ap-1193	192	6	,	,	PUNCT
ap-1193	192	7	x2)	x2)	PROPN
ap-1193	192	8	�	�	NOUN
ap-1193	192	9	1	1	NUM
ap-1193	192	10	+	+	SYM
ap-1193	192	11	v2(x1	v2(x1	ADJ
ap-1193	192	12	,	,	PUNCT
ap-1193	192	13	x2)	x2)	PROPN
ap-1193	192	14	�	�	NOUN
ap-1193	192	15	2	2	NUM
ap-1193	192	16	+	+	SYM
ap-1193	192	17	v3(x1	v3(x1	NOUN
ap-1193	192	18	,	,	PUNCT
ap-1193	192	19	x2)	x2)	PROPN
ap-1193	192	20	�	�	NOUN
ap-1193	192	21	3	3	NUM
ap-1193	192	22	=	=	SYM
ap-1193	192	23	y	y	PROPN
ap-1193	192	24	(	(	PUNCT
ap-1193	192	25	x2	x2	PROPN
ap-1193	192	26	,	,	PUNCT
ap-1193	192	27	x1)+	x1)+	PROPN
ap-1193	192	28	(	(	PUNCT
ap-1193	192	29	�	�	PROPN
ap-1193	192	30	+	+	PROPN
ap-1193	192	31	i	i	NOUN
ap-1193	192	32	=	=	SYM
ap-1193	192	33	−	−	NUM
ap-1193	192	34	�	�	NOUN
ap-1193	192	35	i	i	PRON
ap-1193	192	36	,	,	PUNCT
ap-1193	193	1	[	[	X
ap-1193	193	2	�	�	VERB
ap-1193	193	3	i	i	PRON
ap-1193	193	4	,	,	PUNCT
ap-1193	193	5	rj	rj	PROPN
ap-1193	193	6	]	]	PUNCT
ap-1193	193	7	=	=	PUNCT
ap-1193	193	8	0	0	NUM
ap-1193	193	9	)	)	PUNCT
ap-1193	193	10	;	;	PUNCT
ap-1193	194	1	vκ(x1	vκ(x1	PROPN
ap-1193	194	2	,	,	PUNCT
ap-1193	194	3	x2	x2	PROPN
ap-1193	194	4	)	)	PUNCT
ap-1193	194	5	=	=	SYM
ap-1193	195	1	n∑	n∑	PROPN
ap-1193	195	2	m=1	m=1	X
ap-1193	195	3	:	:	PUNCT
ap-1193	195	4	ϕα	ϕα	ADP
ap-1193	195	5	m(x1)(	m(x1)(	PROPN
ap-1193	195	6	�	�	PROPN
ap-1193	195	7	κ)αβϕβ	κ)αβϕβ	PROPN
ap-1193	195	8	m(x2	m(x2	NOUN
ap-1193	195	9	)	)	PUNCT
ap-1193	195	10	:	:	PUNCT
ap-1193	195	11	,	,	PUNCT
ap-1193	195	12	(	(	PUNCT
ap-1193	195	13	4.6	4.6	NUM
ap-1193	195	14	)	)	PUNCT
ap-1193	195	15	�	�	NOUN
ap-1193	195	16	0	0	NUM
ap-1193	195	17	=	=	SYM
ap-1193	195	18	1	1	NUM
ap-1193	195	19	.	.	PUNCT
ap-1193	196	1	in	in	ADP
ap-1193	196	2	order	order	NOUN
ap-1193	196	3	to	to	PART
ap-1193	196	4	determine	determine	VERB
ap-1193	196	5	the	the	DET
ap-1193	196	6	lie	lie	NOUN
ap-1193	196	7	algebra	algebra	NOUN
ap-1193	196	8	corresponding	correspond	VERB
ap-1193	196	9	to	to	ADP
ap-1193	196	10	the	the	DET
ap-1193	196	11	cr	cr	PROPN
ap-1193	196	12	(	(	PUNCT
ap-1193	196	13	4.1	4.1	NUM
ap-1193	196	14	)	)	PUNCT
ap-1193	196	15	in	in	ADP
ap-1193	196	16	each	each	PRON
ap-1193	196	17	of	of	ADP
ap-1193	196	18	the	the	DET
ap-1193	196	19	three	three	NUM
ap-1193	196	20	cases	case	NOUN
ap-1193	196	21	(	(	PUNCT
ap-1193	196	22	4.5	4.5	NUM
ap-1193	196	23	)	)	PUNCT
ap-1193	196	24	we	we	PRON
ap-1193	196	25	choose	choose	VERB
ap-1193	196	26	a	a	DET
ap-1193	196	27	discrete	discrete	ADJ
ap-1193	196	28	basis	basis	NOUN
ap-1193	196	29	and	and	CCONJ
ap-1193	196	30	specify	specify	VERB
ap-1193	196	31	the	the	DET
ap-1193	196	32	topology	topology	NOUN
ap-1193	196	33	of	of	ADP
ap-1193	196	34	the	the	DET
ap-1193	196	35	resulting	result	VERB
ap-1193	196	36	infinite	infinite	ADJ
ap-1193	196	37	matrix	matrix	NOUN
ap-1193	196	38	algebra	algebra	NOUN
ap-1193	196	39	in	in	ADP
ap-1193	196	40	such	such	DET
ap-1193	196	41	a	a	DET
ap-1193	196	42	way	way	NOUN
ap-1193	196	43	that	that	PRON
ap-1193	196	44	the	the	DET
ap-1193	196	45	generators	generator	NOUN
ap-1193	196	46	of	of	ADP
ap-1193	196	47	the	the	DET
ap-1193	196	48	conformal	conformal	ADJ
ap-1193	196	49	lie	lie	NOUN
ap-1193	196	50	algebra	algebra	NOUN
ap-1193	196	51	(	(	PUNCT
ap-1193	196	52	most	most	ADV
ap-1193	196	53	importantly	importantly	ADV
ap-1193	196	54	,	,	PUNCT
ap-1193	196	55	the	the	DET
ap-1193	196	56	conformal	conformal	ADJ
ap-1193	196	57	hamiltonian	hamiltonian	ADJ
ap-1193	196	58	h	h	NOUN
ap-1193	196	59	)	)	PUNCT
ap-1193	196	60	belong	belong	VERB
ap-1193	196	61	to	to	ADP
ap-1193	196	62	it	it	PRON
ap-1193	196	63	.	.	PUNCT
ap-1193	197	1	the	the	DET
ap-1193	197	2	basis	basis	NOUN
ap-1193	197	3	,	,	PUNCT
ap-1193	197	4	say	say	VERB
ap-1193	197	5	(	(	PUNCT
ap-1193	197	6	xmn	xmn	PROPN
ap-1193	197	7	)	)	PUNCT
ap-1193	197	8	where	where	SCONJ
ap-1193	197	9	m	m	VERB
ap-1193	197	10	,	,	PUNCT
ap-1193	197	11	n	n	PRON
ap-1193	197	12	are	be	AUX
ap-1193	197	13	multiindices	multiindice	NOUN
ap-1193	197	14	,	,	PUNCT
ap-1193	197	15	corresponds	correspond	VERB
ap-1193	197	16	to	to	ADP
ap-1193	197	17	the	the	DET
ap-1193	197	18	expansion	expansion	NOUN
ap-1193	198	1	[	[	X
ap-1193	198	2	42	42	NUM
ap-1193	198	3	]	]	PUNCT
ap-1193	198	4	of	of	ADP
ap-1193	198	5	a	a	DET
ap-1193	198	6	free	free	ADJ
ap-1193	198	7	massless	massless	NOUN
ap-1193	198	8	scalar	scalar	ADJ
ap-1193	198	9	field	field	NOUN
ap-1193	198	10	ϕ	ϕ	PROPN
ap-1193	198	11	in	in	ADP
ap-1193	198	12	creation	creation	NOUN
ap-1193	198	13	and	and	CCONJ
ap-1193	198	14	annihilation	annihilation	NOUN
ap-1193	198	15	operators	operator	NOUN
ap-1193	198	16	of	of	ADP
ap-1193	198	17	fixed	fix	VERB
ap-1193	198	18	energy	energy	NOUN
ap-1193	198	19	states	state	NOUN
ap-1193	198	20	ϕ(z	ϕ(z	NOUN
ap-1193	198	21	)	)	PUNCT
ap-1193	198	22	=	=	PUNCT
ap-1193	199	1	∞∑	∞∑	NUM
ap-1193	199	2	�	�	NOUN
ap-1193	199	3	=	=	SYM
ap-1193	199	4	0	0	NUM
ap-1193	199	5	(	(	PUNCT
ap-1193	199	6	�	�	NOUN
ap-1193	199	7	+1)2∑	+1)2∑	X
ap-1193	199	8	μ=1	μ=1	NOUN
ap-1193	199	9	(	(	PUNCT
ap-1193	199	10	(	(	PUNCT
ap-1193	199	11	z2)−	z2)−	X
ap-1193	199	12	�	�	PROPN
ap-1193	199	13	−1ϕ	−1ϕ	PROPN
ap-1193	199	14	�	�	PROPN
ap-1193	199	15	+1,μ	+1,μ	PROPN
ap-1193	199	16	+	+	NUM
ap-1193	199	17	ϕ−	ϕ−	PROPN
ap-1193	199	18	�	�	PROPN
ap-1193	199	19	−1,μ)h	−1,μ)h	NOUN
ap-1193	199	20	�	�	PROPN
ap-1193	199	21	μ(z	μ(z	PROPN
ap-1193	199	22	)	)	PUNCT
ap-1193	199	23	,	,	PUNCT
ap-1193	199	24	(	(	PUNCT
ap-1193	199	25	4.7	4.7	NUM
ap-1193	199	26	)	)	PUNCT
ap-1193	200	1	where	where	SCONJ
ap-1193	200	2	(	(	PUNCT
ap-1193	200	3	h	h	NOUN
ap-1193	200	4	�	�	PROPN
ap-1193	200	5	μ(z	μ(z	PROPN
ap-1193	200	6	)	)	PUNCT
ap-1193	200	7	,	,	PUNCT
ap-1193	200	8	μ	μ	NOUN
ap-1193	200	9	=	=	SYM
ap-1193	200	10	1	1	NUM
ap-1193	200	11	,	,	PUNCT
ap-1193	200	12	.	.	PUNCT
ap-1193	200	13	.	.	PUNCT
ap-1193	200	14	.	.	PUNCT
ap-1193	201	1	,	,	PUNCT
ap-1193	201	2	(	(	PUNCT
ap-1193	201	3	�	�	PROPN
ap-1193	201	4	+	+	CCONJ
ap-1193	201	5	1)2	1)2	NUM
ap-1193	201	6	)	)	PUNCT
ap-1193	201	7	form	form	NOUN
ap-1193	201	8	a	a	DET
ap-1193	201	9	basis	basis	NOUN
ap-1193	201	10	of	of	ADP
ap-1193	201	11	homogeneous	homogeneous	ADJ
ap-1193	201	12	harmonic	harmonic	ADJ
ap-1193	201	13	polynomials	polynomial	NOUN
ap-1193	201	14	of	of	ADP
ap-1193	201	15	degree	degree	NOUN
ap-1193	201	16	�	�	PROPN
ap-1193	201	17	in	in	ADP
ap-1193	201	18	the	the	DET
ap-1193	201	19	complex	complex	ADJ
ap-1193	201	20	4	4	NUM
ap-1193	201	21	-	-	PUNCT
ap-1193	201	22	vector	vector	NOUN
ap-1193	201	23	z	z	NOUN
ap-1193	201	24	(	(	PUNCT
ap-1193	201	25	of	of	ADP
ap-1193	201	26	the	the	DET
ap-1193	201	27	parametrization	parametrization	NOUN
ap-1193	201	28	(	(	PUNCT
ap-1193	201	29	2.3	2.3	NUM
ap-1193	201	30	)	)	PUNCT
ap-1193	201	31	of	of	ADP
ap-1193	201	32	m̄	m̄	NOUN
ap-1193	201	33	)	)	PUNCT
ap-1193	201	34	.	.	PUNCT
ap-1193	202	1	the	the	DET
ap-1193	202	2	generators	generator	NOUN
ap-1193	202	3	of	of	ADP
ap-1193	202	4	the	the	DET
ap-1193	202	5	conformal	conformal	ADJ
ap-1193	202	6	lie	lie	NOUN
ap-1193	202	7	algebra	algebra	PROPN
ap-1193	202	8	su(2	su(2	NOUN
ap-1193	202	9	,	,	PUNCT
ap-1193	202	10	2	2	NUM
ap-1193	202	11	)	)	PUNCT
ap-1193	202	12	are	be	AUX
ap-1193	202	13	expressed	express	VERB
ap-1193	202	14	as	as	ADP
ap-1193	202	15	infinite	infinite	ADJ
ap-1193	202	16	sums	sum	NOUN
ap-1193	202	17	in	in	ADP
ap-1193	202	18	xmn	xmn	NOUN
ap-1193	202	19	with	with	ADP
ap-1193	202	20	a	a	DET
ap-1193	202	21	finite	finite	ADJ
ap-1193	202	22	number	number	NOUN
ap-1193	202	23	of	of	ADP
ap-1193	202	24	diagonals	diagonal	NOUN
ap-1193	202	25	(	(	PUNCT
ap-1193	202	26	cf	cf	NOUN
ap-1193	202	27	.	.	PUNCT
ap-1193	203	1	appendix	appendix	NOUN
ap-1193	203	2	b	b	NOUN
ap-1193	203	3	to	to	ADP
ap-1193	203	4	[	[	X
ap-1193	203	5	2	2	NUM
ap-1193	203	6	]	]	NUM
ap-1193	203	7	)	)	PUNCT
ap-1193	203	8	.	.	PUNCT
ap-1193	204	1	the	the	DET
ap-1193	204	2	requirement	requirement	NOUN
ap-1193	204	3	su(2	su(2	PROPN
ap-1193	204	4	,	,	PUNCT
ap-1193	204	5	2	2	NUM
ap-1193	204	6	)	)	PUNCT
ap-1193	204	7	⊂	⊂	NOUN
ap-1193	204	8	l	l	NOUN
ap-1193	204	9	thus	thus	ADV
ap-1193	204	10	restricts	restrict	VERB
ap-1193	204	11	the	the	DET
ap-1193	204	12	topology	topology	NOUN
ap-1193	204	13	of	of	ADP
ap-1193	204	14	l	l	NOUN
ap-1193	204	15	implying	imply	VERB
ap-1193	204	16	that	that	SCONJ
ap-1193	204	17	the	the	DET
ap-1193	204	18	last	last	ADJ
ap-1193	204	19	(	(	PUNCT
ap-1193	204	20	c	c	NOUN
ap-1193	204	21	-	-	PUNCT
ap-1193	204	22	number	number	NOUN
ap-1193	204	23	)	)	PUNCT
ap-1193	204	24	term	term	NOUN
ap-1193	204	25	in	in	ADP
ap-1193	204	26	(	(	PUNCT
ap-1193	204	27	4.1	4.1	NUM
ap-1193	204	28	)	)	PUNCT
ap-1193	204	29	gives	give	VERB
ap-1193	204	30	rise	rise	NOUN
ap-1193	204	31	to	to	ADP
ap-1193	204	32	a	a	DET
ap-1193	204	33	non	non	ADJ
ap-1193	204	34	-	-	ADJ
ap-1193	204	35	trivial	trivial	ADJ
ap-1193	204	36	central	central	ADJ
ap-1193	204	37	extension	extension	NOUN
ap-1193	204	38	of	of	ADP
ap-1193	204	39	l.	l.	PROPN
ap-1193	204	40	the	the	DET
ap-1193	204	41	analysis	analysis	NOUN
ap-1193	204	42	of	of	ADP
ap-1193	204	43	[	[	X
ap-1193	204	44	2	2	NUM
ap-1193	204	45	]	]	PUNCT
ap-1193	204	46	,	,	PUNCT
ap-1193	204	47	[	[	X
ap-1193	204	48	3	3	X
ap-1193	204	49	]	]	PUNCT
ap-1193	204	50	yields	yield	VERB
ap-1193	204	51	the	the	DET
ap-1193	204	52	following	follow	VERB
ap-1193	204	53	proposition	proposition	NOUN
ap-1193	204	54	4.2	4.2	NUM
ap-1193	204	55	the	the	DET
ap-1193	204	56	lie	lie	NOUN
ap-1193	204	57	algebras	algebras	PROPN
ap-1193	204	58	l(f	l(f	PROPN
ap-1193	204	59	)	)	PUNCT
ap-1193	204	60	,	,	PUNCT
ap-1193	204	61	f	f	X
ap-1193	204	62	=	=	SYM
ap-1193	204	63	r	r	PROPN
ap-1193	204	64	,	,	PUNCT
ap-1193	204	65	c	c	X
ap-1193	204	66	,	,	PUNCT
ap-1193	204	67	h	h	NOUN
ap-1193	204	68	are	be	AUX
ap-1193	204	69	1	1	NUM
ap-1193	204	70	-	-	PUNCT
ap-1193	204	71	parameter	parameter	NOUN
ap-1193	204	72	central	central	ADJ
ap-1193	204	73	extensions	extension	NOUN
ap-1193	204	74	of	of	ADP
ap-1193	204	75	appropriate	appropriate	ADJ
ap-1193	204	76	completions	completion	NOUN
ap-1193	204	77	of	of	ADP
ap-1193	204	78	the	the	DET
ap-1193	204	79	following	following	ADJ
ap-1193	204	80	inductive	inductive	ADJ
ap-1193	204	81	limits	limit	NOUN
ap-1193	204	82	of	of	ADP
ap-1193	204	83	matrix	matrix	NOUN
ap-1193	204	84	algebras	algebra	NOUN
ap-1193	204	85	:	:	PUNCT
ap-1193	204	86	r	r	NOUN
ap-1193	204	87	:	:	PUNCT
ap-1193	204	88	sp(∞	sp(∞	ADV
ap-1193	204	89	,	,	PUNCT
ap-1193	204	90	r	r	NOUN
ap-1193	204	91	)	)	PUNCT
ap-1193	205	1	=	=	SYM
ap-1193	205	2	lim	lim	PROPN
ap-1193	205	3	n→∞	n→∞	NUM
ap-1193	205	4	sp(2n	sp(2n	X
ap-1193	205	5	,	,	PUNCT
ap-1193	205	6	r	r	NOUN
ap-1193	205	7	)	)	PUNCT
ap-1193	205	8	c	c	NOUN
ap-1193	205	9	:	:	PUNCT
ap-1193	205	10	u(∞,∞	u(∞,∞	PROPN
ap-1193	205	11	)	)	PUNCT
ap-1193	205	12	=	=	SYM
ap-1193	205	13	lim	lim	PROPN
ap-1193	205	14	n→∞	n→∞	X
ap-1193	205	15	u(n	u(n	PROPN
ap-1193	205	16	,	,	PUNCT
ap-1193	205	17	n	n	CCONJ
ap-1193	205	18	)	)	PUNCT
ap-1193	205	19	h	h	NOUN
ap-1193	205	20	:	:	PUNCT
ap-1193	205	21	so∗(4∞	so∗(4∞	PROPN
ap-1193	205	22	)	)	PUNCT
ap-1193	205	23	=	=	SYM
ap-1193	205	24	lim	lim	PROPN
ap-1193	205	25	n→∞	n→∞	NUM
ap-1193	205	26	so∗(4n	so∗(4n	PROPN
ap-1193	205	27	)	)	PUNCT
ap-1193	205	28	.	.	PUNCT
ap-1193	206	1	(	(	PUNCT
ap-1193	206	2	4.8	4.8	NUM
ap-1193	206	3	)	)	PUNCT
ap-1193	206	4	in	in	ADP
ap-1193	206	5	the	the	DET
ap-1193	206	6	free	free	ADJ
ap-1193	206	7	field	field	NOUN
ap-1193	206	8	realization	realization	NOUN
ap-1193	206	9	(	(	PUNCT
ap-1193	206	10	4.4	4.4	NUM
ap-1193	206	11	)	)	PUNCT
ap-1193	206	12	the	the	DET
ap-1193	206	13	suitably	suitably	ADV
ap-1193	206	14	normalized	normalize	VERB
ap-1193	206	15	central	central	ADJ
ap-1193	206	16	charge	charge	NOUN
ap-1193	206	17	coincides	coincide	VERB
ap-1193	206	18	with	with	ADP
ap-1193	206	19	the	the	DET
ap-1193	206	20	positive	positive	ADJ
ap-1193	206	21	integer	integer	NOUN
ap-1193	206	22	n	n	NOUN
ap-1193	206	23	.	.	PUNCT
ap-1193	207	1	3finite	3finite	NUM
ap-1193	207	2	dimensional	dimensional	ADJ
ap-1193	207	3	simple	simple	ADJ
ap-1193	207	4	lie	lie	NOUN
ap-1193	207	5	groups	group	NOUN
ap-1193	207	6	g	g	VERB
ap-1193	207	7	with	with	ADP
ap-1193	207	8	this	this	DET
ap-1193	207	9	property	property	NOUN
ap-1193	207	10	have	have	AUX
ap-1193	207	11	been	be	AUX
ap-1193	207	12	extensively	extensively	ADV
ap-1193	207	13	studied	study	VERB
ap-1193	207	14	by	by	ADP
ap-1193	207	15	mathematicians	mathematician	NOUN
ap-1193	207	16	(	(	PUNCT
ap-1193	207	17	for	for	ADP
ap-1193	207	18	a	a	DET
ap-1193	207	19	review	review	NOUN
ap-1193	207	20	and	and	CCONJ
ap-1193	207	21	references	reference	NOUN
ap-1193	207	22	–	–	PUNCT
ap-1193	207	23	see	see	VERB
ap-1193	207	24	[	[	X
ap-1193	207	25	9	9	NUM
ap-1193	207	26	]	]	NUM
ap-1193	207	27	)	)	PUNCT
ap-1193	207	28	;	;	PUNCT
ap-1193	207	29	for	for	ADP
ap-1193	207	30	an	an	DET
ap-1193	207	31	extension	extension	NOUN
ap-1193	207	32	to	to	ADP
ap-1193	207	33	the	the	DET
ap-1193	207	34	infinite	infinite	ADJ
ap-1193	207	35	dimensional	dimensional	ADJ
ap-1193	207	36	case	case	NOUN
ap-1193	207	37	–	–	PUNCT
ap-1193	207	38	see	see	VERB
ap-1193	207	39	[	[	X
ap-1193	207	40	40	40	NUM
ap-1193	207	41	]	]	PUNCT
ap-1193	207	42	.	.	PUNCT
ap-1193	208	1	if	if	SCONJ
ap-1193	208	2	z	z	NOUN
ap-1193	208	3	is	be	AUX
ap-1193	208	4	the	the	DET
ap-1193	208	5	centre	centre	NOUN
ap-1193	208	6	of	of	ADP
ap-1193	208	7	g	g	PROPN
ap-1193	208	8	and	and	CCONJ
ap-1193	208	9	k	k	PROPN
ap-1193	208	10	is	be	AUX
ap-1193	208	11	a	a	DET
ap-1193	208	12	closed	closed	ADJ
ap-1193	208	13	maximal	maximal	ADJ
ap-1193	208	14	subgroup	subgroup	NOUN
ap-1193	208	15	of	of	ADP
ap-1193	208	16	g	g	PROPN
ap-1193	208	17	such	such	ADJ
ap-1193	208	18	that	that	SCONJ
ap-1193	208	19	k	k	NOUN
ap-1193	208	20	/	/	SYM
ap-1193	208	21	z	z	NOUN
ap-1193	208	22	is	be	AUX
ap-1193	208	23	compact	compact	ADJ
ap-1193	208	24	then	then	ADV
ap-1193	208	25	g	g	PROPN
ap-1193	208	26	is	be	AUX
ap-1193	208	27	characterized	characterize	VERB
ap-1193	208	28	by	by	ADP
ap-1193	208	29	the	the	DET
ap-1193	208	30	property	property	NOUN
ap-1193	208	31	that	that	PRON
ap-1193	208	32	(	(	PUNCT
ap-1193	208	33	g	g	NOUN
ap-1193	208	34	,	,	PUNCT
ap-1193	208	35	k	k	NOUN
ap-1193	208	36	)	)	PUNCT
ap-1193	208	37	is	be	AUX
ap-1193	208	38	a	a	DET
ap-1193	208	39	hermitean	hermitean	ADJ
ap-1193	208	40	symmetric	symmetric	ADJ
ap-1193	208	41	pair	pair	NOUN
ap-1193	208	42	.	.	PUNCT
ap-1193	209	1	such	such	ADJ
ap-1193	209	2	groups	group	NOUN
ap-1193	209	3	give	give	VERB
ap-1193	209	4	rise	rise	NOUN
ap-1193	209	5	to	to	ADP
ap-1193	209	6	simple	simple	ADJ
ap-1193	209	7	space	space	NOUN
ap-1193	209	8	-	-	PUNCT
ap-1193	209	9	time	time	NOUN
ap-1193	209	10	symmetries	symmetry	NOUN
ap-1193	209	11	in	in	ADP
ap-1193	209	12	the	the	DET
ap-1193	209	13	sense	sense	NOUN
ap-1193	209	14	of	of	ADP
ap-1193	209	15	[	[	X
ap-1193	209	16	30	30	NUM
ap-1193	209	17	]	]	PUNCT
ap-1193	209	18	(	(	PUNCT
ap-1193	209	19	see	see	VERB
ap-1193	209	20	also	also	ADV
ap-1193	209	21	earlier	early	ADV
ap-1193	209	22	work	work	NOUN
ap-1193	209	23	–	–	PUNCT
ap-1193	209	24	in	in	ADP
ap-1193	209	25	particular	particular	ADJ
ap-1193	209	26	by	by	ADP
ap-1193	209	27	günaydin	günaydin	PROPN
ap-1193	209	28	–	–	PUNCT
ap-1193	209	29	cited	cite	VERB
ap-1193	209	30	there	there	ADV
ap-1193	209	31	)	)	PUNCT
ap-1193	209	32	.	.	PUNCT
ap-1193	210	1	58	58	NUM
ap-1193	210	2	acta	acta	PROPN
ap-1193	210	3	polytechnica	polytechnica	PROPN
ap-1193	210	4	vol	vol	NOUN
ap-1193	210	5	.	.	PROPN
ap-1193	211	1	50	50	NUM
ap-1193	211	2	no	no	NOUN
ap-1193	211	3	.	.	PUNCT
ap-1193	212	1	3/2010	3/2010	NUM
ap-1193	212	2	5	5	NUM
ap-1193	212	3	fock	fock	ADJ
ap-1193	212	4	space	space	NOUN
ap-1193	212	5	representation	representation	NOUN
ap-1193	212	6	of	of	ADP
ap-1193	212	7	the	the	DET
ap-1193	212	8	dual	dual	ADJ
ap-1193	212	9	pair	pair	NOUN
ap-1193	212	10	l(f)×	l(f)×	PROPN
ap-1193	212	11	u(n	u(n	PROPN
ap-1193	212	12	,	,	PUNCT
ap-1193	212	13	f	f	X
ap-1193	212	14	)	)	PUNCT
ap-1193	212	15	to	to	PART
ap-1193	212	16	summarize	summarize	VERB
ap-1193	212	17	the	the	DET
ap-1193	212	18	discussion	discussion	NOUN
ap-1193	212	19	of	of	ADP
ap-1193	212	20	the	the	DET
ap-1193	212	21	last	last	ADJ
ap-1193	212	22	section	section	NOUN
ap-1193	212	23	:	:	PUNCT
ap-1193	212	24	there	there	PRON
ap-1193	212	25	are	be	VERB
ap-1193	212	26	three	three	NUM
ap-1193	212	27	infinite	infinite	ADJ
ap-1193	212	28	dimensional	dimensional	ADJ
ap-1193	212	29	irreducible	irreducible	ADJ
ap-1193	212	30	lie	lie	NOUN
ap-1193	212	31	algebras	algebra	NOUN
ap-1193	212	32	,	,	PUNCT
ap-1193	212	33	l(f	l(f	PROPN
ap-1193	212	34	)	)	PUNCT
ap-1193	212	35	that	that	PRON
ap-1193	212	36	are	be	AUX
ap-1193	212	37	generated	generate	VERB
ap-1193	212	38	in	in	ADP
ap-1193	212	39	a	a	DET
ap-1193	212	40	theory	theory	NOUN
ap-1193	212	41	of	of	ADP
ap-1193	212	42	gci	gci	PROPN
ap-1193	212	43	scalar	scalar	ADJ
ap-1193	212	44	fields	field	NOUN
ap-1193	212	45	of	of	ADP
ap-1193	212	46	dimension	dimension	NOUN
ap-1193	212	47	d	d	NOUN
ap-1193	212	48	=	=	SYM
ap-1193	212	49	2	2	NUM
ap-1193	212	50	and	and	CCONJ
ap-1193	212	51	correspond	correspond	VERB
ap-1193	212	52	to	to	ADP
ap-1193	212	53	the	the	DET
ap-1193	212	54	three	three	NUM
ap-1193	212	55	real	real	ADJ
ap-1193	212	56	division	division	NOUN
ap-1193	212	57	rings	ring	NOUN
ap-1193	212	58	f	f	PROPN
ap-1193	212	59	(	(	PUNCT
ap-1193	212	60	proposition	proposition	NOUN
ap-1193	212	61	4.2	4.2	NUM
ap-1193	212	62	)	)	PUNCT
ap-1193	212	63	.	.	PUNCT
ap-1193	213	1	for	for	ADP
ap-1193	213	2	an	an	DET
ap-1193	213	3	integer	integer	NOUN
ap-1193	213	4	central	central	ADJ
ap-1193	213	5	chargen	chargen	NOUN
ap-1193	213	6	they	they	PRON
ap-1193	213	7	admit	admit	VERB
ap-1193	213	8	a	a	DET
ap-1193	213	9	free	free	ADJ
ap-1193	213	10	field	field	NOUN
ap-1193	213	11	realization	realization	NOUN
ap-1193	213	12	of	of	ADP
ap-1193	213	13	type	type	NOUN
ap-1193	213	14	(	(	PUNCT
ap-1193	213	15	4.3	4.3	NUM
ap-1193	213	16	)	)	PUNCT
ap-1193	213	17	and	and	CCONJ
ap-1193	213	18	a	a	DET
ap-1193	213	19	fock	fock	ADJ
ap-1193	213	20	space	space	NOUN
ap-1193	213	21	representation	representation	NOUN
ap-1193	213	22	with	with	ADP
ap-1193	213	23	(	(	PUNCT
ap-1193	213	24	compact	compact	ADJ
ap-1193	213	25	)	)	PUNCT
ap-1193	213	26	gauge	gauge	NOUN
ap-1193	213	27	group	group	NOUN
ap-1193	213	28	u(n	u(n	PROPN
ap-1193	213	29	,	,	PUNCT
ap-1193	213	30	f	f	PROPN
ap-1193	213	31	):	):	PUNCT
ap-1193	213	32	u(n	u(n	PROPN
ap-1193	213	33	,	,	PUNCT
ap-1193	213	34	r	r	NOUN
ap-1193	213	35	)	)	PUNCT
ap-1193	213	36	=	=	SYM
ap-1193	213	37	o(n	o(n	NOUN
ap-1193	213	38	)	)	PUNCT
ap-1193	213	39	,	,	PUNCT
ap-1193	213	40	u(n	u(n	PROPN
ap-1193	213	41	,	,	PUNCT
ap-1193	213	42	c	c	NOUN
ap-1193	213	43	)	)	PUNCT
ap-1193	213	44	=	=	SYM
ap-1193	213	45	u(n	u(n	PROPN
ap-1193	213	46	)	)	PUNCT
ap-1193	213	47	,	,	PUNCT
ap-1193	213	48	(	(	PUNCT
ap-1193	213	49	5.1	5.1	NUM
ap-1193	213	50	)	)	PUNCT
ap-1193	213	51	u(n	u(n	PROPN
ap-1193	213	52	,	,	PUNCT
ap-1193	213	53	h	h	NOUN
ap-1193	213	54	)	)	PUNCT
ap-1193	213	55	=	=	SYM
ap-1193	213	56	sp(2n	sp(2n	X
ap-1193	213	57	)	)	PUNCT
ap-1193	213	58	(=	(=	NOUN
ap-1193	213	59	usp(2n	usp(2n	NOUN
ap-1193	213	60	)	)	PUNCT
ap-1193	213	61	)	)	PUNCT
ap-1193	213	62	.	.	PUNCT
ap-1193	214	1	it	it	PRON
ap-1193	214	2	is	be	AUX
ap-1193	214	3	remarkable	remarkable	ADJ
ap-1193	214	4	that	that	SCONJ
ap-1193	214	5	this	this	DET
ap-1193	214	6	result	result	NOUN
ap-1193	214	7	holds	hold	VERB
ap-1193	214	8	in	in	ADP
ap-1193	214	9	general	general	ADJ
ap-1193	214	10	.	.	PUNCT
ap-1193	215	1	theorem	theorem	VERB
ap-1193	215	2	5.1	5.1	NUM
ap-1193	215	3	(	(	PUNCT
ap-1193	215	4	i	i	NOUN
ap-1193	215	5	)	)	PUNCT
ap-1193	215	6	in	in	ADP
ap-1193	215	7	any	any	DET
ap-1193	215	8	unitary	unitary	ADJ
ap-1193	215	9	irreducible	irreducible	ADJ
ap-1193	215	10	positive	positive	ADJ
ap-1193	215	11	energy	energy	NOUN
ap-1193	215	12	representation	representation	NOUN
ap-1193	215	13	(	(	PUNCT
ap-1193	215	14	uiper	uiper	NOUN
ap-1193	215	15	)	)	PUNCT
ap-1193	215	16	of	of	ADP
ap-1193	215	17	l(f	l(f	PROPN
ap-1193	215	18	)	)	PUNCT
ap-1193	215	19	the	the	DET
ap-1193	215	20	central	central	ADJ
ap-1193	215	21	charge	charge	NOUN
ap-1193	215	22	n	n	VERB
ap-1193	215	23	is	be	AUX
ap-1193	215	24	a	a	DET
ap-1193	215	25	positive	positive	ADJ
ap-1193	215	26	integer	integer	NOUN
ap-1193	215	27	.	.	PUNCT
ap-1193	216	1	(	(	PUNCT
ap-1193	216	2	ii	ii	NOUN
ap-1193	216	3	)	)	PUNCT
ap-1193	216	4	all	all	DET
ap-1193	216	5	uipers	uiper	NOUN
ap-1193	216	6	of	of	ADP
ap-1193	216	7	l(f	l(f	PROPN
ap-1193	216	8	)	)	PUNCT
ap-1193	216	9	are	be	AUX
ap-1193	216	10	realized	realize	VERB
ap-1193	216	11	(	(	PUNCT
ap-1193	216	12	with	with	ADP
ap-1193	216	13	multiplicities	multiplicity	NOUN
ap-1193	216	14	)	)	PUNCT
ap-1193	216	15	in	in	ADP
ap-1193	216	16	the	the	DET
ap-1193	216	17	fock	fock	ADJ
ap-1193	216	18	space	space	NOUN
ap-1193	216	19	f	f	PROPN
ap-1193	216	20	of	of	ADP
ap-1193	216	21	ndimrf	ndimrf	PROPN
ap-1193	216	22	free	free	PROPN
ap-1193	216	23	hermitean	hermitean	PROPN
ap-1193	216	24	massless	massless	NOUN
ap-1193	216	25	scalar	scalar	ADJ
ap-1193	216	26	fields	field	NOUN
ap-1193	216	27	.	.	PUNCT
ap-1193	217	1	(	(	PUNCT
ap-1193	217	2	iii	iii	X
ap-1193	217	3	)	)	PUNCT
ap-1193	217	4	the	the	DET
ap-1193	217	5	ground	ground	NOUN
ap-1193	217	6	states	state	NOUN
ap-1193	217	7	of	of	ADP
ap-1193	217	8	equivalent	equivalent	ADJ
ap-1193	217	9	uipers	uiper	NOUN
ap-1193	217	10	in	in	ADP
ap-1193	217	11	f	f	PROPN
ap-1193	217	12	form	form	NOUN
ap-1193	217	13	irreducible	irreducible	ADJ
ap-1193	217	14	representations	representation	NOUN
ap-1193	217	15	of	of	ADP
ap-1193	217	16	the	the	DET
ap-1193	217	17	gauge	gauge	NOUN
ap-1193	217	18	group	group	NOUN
ap-1193	217	19	u(n	u(n	PROPN
ap-1193	217	20	,	,	PUNCT
ap-1193	217	21	f	f	PROPN
ap-1193	217	22	)	)	PUNCT
ap-1193	217	23	(	(	PUNCT
ap-1193	217	24	5.1	5.1	NUM
ap-1193	217	25	)	)	PUNCT
ap-1193	217	26	.	.	PUNCT
ap-1193	218	1	this	this	PRON
ap-1193	218	2	establishes	establish	VERB
ap-1193	218	3	a	a	DET
ap-1193	218	4	one	one	NUM
ap-1193	218	5	-	-	PUNCT
ap-1193	218	6	to	to	ADP
ap-1193	218	7	-	-	PUNCT
ap-1193	218	8	one	one	NUM
ap-1193	218	9	correspondence	correspondence	NOUN
ap-1193	218	10	between	between	ADP
ap-1193	218	11	uipers	uiper	NOUN
ap-1193	218	12	of	of	ADP
ap-1193	218	13	l(f	l(f	PROPN
ap-1193	218	14	)	)	PUNCT
ap-1193	218	15	occurring	occur	VERB
ap-1193	218	16	in	in	ADP
ap-1193	218	17	the	the	DET
ap-1193	218	18	fock	fock	ADJ
ap-1193	218	19	space	space	NOUN
ap-1193	218	20	and	and	CCONJ
ap-1193	218	21	the	the	DET
ap-1193	218	22	irreducible	irreducible	ADJ
ap-1193	218	23	representations	representation	NOUN
ap-1193	218	24	of	of	ADP
ap-1193	218	25	u(n	u(n	PROPN
ap-1193	218	26	,	,	PUNCT
ap-1193	218	27	f	f	PROPN
ap-1193	218	28	)	)	PUNCT
ap-1193	218	29	.	.	PUNCT
ap-1193	219	1	the	the	DET
ap-1193	219	2	proof	proof	NOUN
ap-1193	219	3	of	of	ADP
ap-1193	219	4	this	this	DET
ap-1193	219	5	theorem	theorem	NOUN
ap-1193	219	6	for	for	ADP
ap-1193	219	7	f	f	PROPN
ap-1193	219	8	=	=	SYM
ap-1193	219	9	r	r	PROPN
ap-1193	219	10	,	,	PUNCT
ap-1193	219	11	c	c	PROPN
ap-1193	219	12	is	be	AUX
ap-1193	219	13	given	give	VERB
ap-1193	219	14	in	in	ADP
ap-1193	219	15	[	[	X
ap-1193	219	16	2	2	NUM
ap-1193	219	17	]	]	PUNCT
ap-1193	219	18	(	(	PUNCT
ap-1193	219	19	the	the	DET
ap-1193	219	20	proof	proof	NOUN
ap-1193	219	21	of	of	ADP
ap-1193	219	22	(	(	PUNCT
ap-1193	219	23	i	i	NOUN
ap-1193	219	24	)	)	PUNCT
ap-1193	219	25	is	be	AUX
ap-1193	219	26	already	already	ADV
ap-1193	219	27	contained	contain	VERB
ap-1193	219	28	in	in	ADP
ap-1193	219	29	[	[	X
ap-1193	219	30	33	33	NUM
ap-1193	219	31	]	]	NUM
ap-1193	219	32	)	)	PUNCT
ap-1193	219	33	;	;	PUNCT
ap-1193	219	34	the	the	DET
ap-1193	219	35	proof	proof	NOUN
ap-1193	219	36	for	for	ADP
ap-1193	219	37	f	f	PROPN
ap-1193	219	38	=	=	NOUN
ap-1193	219	39	h	h	PROPN
ap-1193	219	40	is	be	AUX
ap-1193	219	41	given	give	VERB
ap-1193	219	42	in	in	ADP
ap-1193	219	43	[	[	X
ap-1193	219	44	3	3	NUM
ap-1193	219	45	]	]	PUNCT
ap-1193	219	46	.	.	PUNCT
ap-1193	220	1	remark	remark	VERB
ap-1193	220	2	5.1	5.1	NUM
ap-1193	220	3	theorem	theorem	VERB
ap-1193	220	4	5.1	5.1	NUM
ap-1193	220	5	is	be	AUX
ap-1193	220	6	also	also	ADV
ap-1193	220	7	valid	valid	ADJ
ap-1193	220	8	–	–	PUNCT
ap-1193	220	9	and	and	CCONJ
ap-1193	220	10	its	its	PRON
ap-1193	220	11	proof	proof	NOUN
ap-1193	220	12	becomes	become	VERB
ap-1193	220	13	technically	technically	ADV
ap-1193	220	14	simpler	simple	ADJ
ap-1193	220	15	–	–	PUNCT
ap-1193	220	16	for	for	ADP
ap-1193	220	17	a	a	DET
ap-1193	220	18	2	2	NUM
ap-1193	220	19	-	-	PUNCT
ap-1193	220	20	dimensional	dimensional	ADJ
ap-1193	220	21	chiral	chiral	ADJ
ap-1193	220	22	theory	theory	NOUN
ap-1193	220	23	(	(	PUNCT
ap-1193	220	24	in	in	ADP
ap-1193	220	25	which	which	PRON
ap-1193	220	26	the	the	DET
ap-1193	220	27	local	local	ADJ
ap-1193	220	28	fields	field	NOUN
ap-1193	220	29	are	be	AUX
ap-1193	220	30	functions	function	NOUN
ap-1193	220	31	of	of	ADP
ap-1193	220	32	a	a	DET
ap-1193	220	33	single	single	ADJ
ap-1193	220	34	complex	complex	ADJ
ap-1193	220	35	variable	variable	NOUN
ap-1193	220	36	)	)	PUNCT
ap-1193	220	37	.	.	PUNCT
ap-1193	221	1	for	for	ADP
ap-1193	221	2	f	f	PROPN
ap-1193	221	3	=	=	PUNCT
ap-1193	221	4	c	c	PROPN
ap-1193	221	5	the	the	DET
ap-1193	221	6	representation	representation	NOUN
ap-1193	221	7	theory	theory	NOUN
ap-1193	221	8	of	of	ADP
ap-1193	221	9	the	the	DET
ap-1193	221	10	resulting	result	VERB
ap-1193	221	11	infinite	infinite	ADJ
ap-1193	221	12	dimensional	dimensional	ADJ
ap-1193	221	13	lie	lie	NOUN
ap-1193	221	14	algebra	algebra	NOUN
ap-1193	221	15	u(∞,∞	u(∞,∞	NOUN
ap-1193	221	16	)	)	PUNCT
ap-1193	221	17	is	be	AUX
ap-1193	221	18	then	then	ADV
ap-1193	221	19	essentially	essentially	ADV
ap-1193	221	20	equivalent	equivalent	ADJ
ap-1193	221	21	to	to	ADP
ap-1193	221	22	that	that	PRON
ap-1193	221	23	of	of	ADP
ap-1193	221	24	the	the	DET
ap-1193	221	25	vertex	vertex	NOUN
ap-1193	221	26	algebra	algebra	NOUN
ap-1193	221	27	w1+∞	w1+∞	NUM
ap-1193	221	28	studied	study	VERB
ap-1193	221	29	in	in	ADP
ap-1193	221	30	[	[	X
ap-1193	221	31	22	22	NUM
ap-1193	221	32	]	]	PUNCT
ap-1193	221	33	(	(	PUNCT
ap-1193	221	34	see	see	VERB
ap-1193	221	35	the	the	DET
ap-1193	221	36	introduction	introduction	NOUN
ap-1193	221	37	to	to	ADP
ap-1193	221	38	[	[	X
ap-1193	221	39	2	2	X
ap-1193	221	40	]	]	PUNCT
ap-1193	221	41	for	for	ADP
ap-1193	221	42	a	a	DET
ap-1193	221	43	more	more	ADV
ap-1193	221	44	precise	precise	ADJ
ap-1193	221	45	comparison	comparison	NOUN
ap-1193	221	46	)	)	PUNCT
ap-1193	221	47	.	.	PUNCT
ap-1193	222	1	theorem	theorem	VERB
ap-1193	222	2	5.1	5.1	NUM
ap-1193	222	3	provides	provide	VERB
ap-1193	222	4	a	a	DET
ap-1193	222	5	link	link	NOUN
ap-1193	222	6	between	between	ADP
ap-1193	222	7	two	two	NUM
ap-1193	222	8	parallel	parallel	ADJ
ap-1193	222	9	developments	development	NOUN
ap-1193	222	10	,	,	PUNCT
ap-1193	222	11	one	one	NUM
ap-1193	222	12	in	in	ADP
ap-1193	222	13	the	the	DET
ap-1193	222	14	study	study	NOUN
ap-1193	222	15	of	of	ADP
ap-1193	222	16	highest	high	ADJ
ap-1193	222	17	weight	weight	NOUN
ap-1193	222	18	modules	module	NOUN
ap-1193	222	19	of	of	ADP
ap-1193	222	20	reductive	reductive	ADJ
ap-1193	222	21	lie	lie	NOUN
ap-1193	222	22	groups	group	NOUN
ap-1193	222	23	(	(	PUNCT
ap-1193	222	24	and	and	CCONJ
ap-1193	222	25	of	of	ADP
ap-1193	222	26	related	related	ADJ
ap-1193	222	27	dual	dual	ADJ
ap-1193	222	28	pairs	pair	NOUN
ap-1193	222	29	–	–	PUNCT
ap-1193	222	30	see	see	VERB
ap-1193	222	31	sect	sect	NOUN
ap-1193	222	32	.	.	PUNCT
ap-1193	223	1	1.1	1.1	NUM
ap-1193	223	2	)	)	PUNCT
ap-1193	224	1	[	[	X
ap-1193	224	2	24	24	NUM
ap-1193	224	3	,	,	PUNCT
ap-1193	224	4	18	18	NUM
ap-1193	224	5	,	,	PUNCT
ap-1193	224	6	9	9	NUM
ap-1193	224	7	,	,	PUNCT
ap-1193	224	8	40	40	NUM
ap-1193	224	9	]	]	PUNCT
ap-1193	224	10	(	(	PUNCT
ap-1193	224	11	and	and	CCONJ
ap-1193	225	1	[	[	X
ap-1193	225	2	16	16	NUM
ap-1193	225	3	,	,	PUNCT
ap-1193	225	4	17	17	NUM
ap-1193	225	5	]	]	NUM
ap-1193	225	6	)	)	PUNCT
ap-1193	225	7	,	,	PUNCT
ap-1193	225	8	the	the	DET
ap-1193	225	9	other	other	ADJ
ap-1193	225	10	in	in	ADP
ap-1193	225	11	the	the	DET
ap-1193	225	12	work	work	NOUN
ap-1193	225	13	of	of	ADP
ap-1193	225	14	haag	haag	PROPN
ap-1193	225	15	-	-	PUNCT
ap-1193	225	16	doplicher	doplicher	NOUN
ap-1193	225	17	-	-	PUNCT
ap-1193	225	18	roberts	roberts	NOUN
ap-1193	225	19	[	[	X
ap-1193	225	20	14	14	NUM
ap-1193	225	21	,	,	PUNCT
ap-1193	225	22	8	8	NUM
ap-1193	225	23	]	]	PUNCT
ap-1193	225	24	on	on	ADP
ap-1193	225	25	the	the	DET
ap-1193	225	26	theory	theory	NOUN
ap-1193	225	27	of	of	ADP
ap-1193	225	28	(	(	PUNCT
ap-1193	225	29	global	global	ADJ
ap-1193	225	30	)	)	PUNCT
ap-1193	225	31	gauge	gauge	NOUN
ap-1193	225	32	groups	group	NOUN
ap-1193	225	33	and	and	CCONJ
ap-1193	225	34	superselection	superselection	NOUN
ap-1193	225	35	sectors	sector	NOUN
ap-1193	225	36	–	–	PUNCT
ap-1193	225	37	see	see	VERB
ap-1193	225	38	sect	sect	NOUN
ap-1193	225	39	.	.	PUNCT
ap-1193	226	1	1.2	1.2	NUM
ap-1193	226	2	.	.	PUNCT
ap-1193	227	1	(	(	PUNCT
ap-1193	227	2	they	they	PRON
ap-1193	227	3	both	both	PRON
ap-1193	227	4	originate	originate	VERB
ap-1193	227	5	–	–	PUNCT
ap-1193	227	6	in	in	ADP
ap-1193	227	7	the	the	DET
ap-1193	227	8	talks	talk	NOUN
ap-1193	227	9	of	of	ADP
ap-1193	227	10	irving	irving	PROPN
ap-1193	227	11	segal	segal	PROPN
ap-1193	227	12	and	and	CCONJ
ap-1193	227	13	rudolf	rudolf	PROPN
ap-1193	227	14	haag	haag	PROPN
ap-1193	227	15	,	,	PUNCT
ap-1193	227	16	respectively	respectively	ADV
ap-1193	227	17	–	–	PUNCT
ap-1193	227	18	at	at	ADP
ap-1193	227	19	the	the	DET
ap-1193	227	20	same	same	ADJ
ap-1193	227	21	lille	lille	X
ap-1193	227	22	1957	1957	NUM
ap-1193	227	23	conference	conference	NOUN
ap-1193	227	24	on	on	ADP
ap-1193	227	25	mathematical	mathematical	ADJ
ap-1193	227	26	problems	problem	NOUN
ap-1193	227	27	in	in	ADP
ap-1193	227	28	quantum	quantum	ADJ
ap-1193	227	29	field	field	NOUN
ap-1193	227	30	theory	theory	NOUN
ap-1193	227	31	)	)	PUNCT
ap-1193	227	32	.	.	PUNCT
ap-1193	228	1	albeit	albeit	SCONJ
ap-1193	228	2	the	the	DET
ap-1193	228	3	settings	setting	NOUN
ap-1193	228	4	are	be	AUX
ap-1193	228	5	not	not	PART
ap-1193	228	6	equivalent	equivalent	ADJ
ap-1193	228	7	the	the	DET
ap-1193	228	8	results	result	NOUN
ap-1193	228	9	match	match	VERB
ap-1193	228	10	.	.	PUNCT
ap-1193	229	1	the	the	DET
ap-1193	229	2	observable	observable	ADJ
ap-1193	229	3	algebra	algebra	NOUN
ap-1193	229	4	(	(	PUNCT
ap-1193	229	5	in	in	ADP
ap-1193	229	6	our	our	PRON
ap-1193	229	7	case	case	NOUN
ap-1193	229	8	,	,	PUNCT
ap-1193	229	9	the	the	DET
ap-1193	229	10	commutator	commutator	NOUN
ap-1193	229	11	algebra	algebra	NOUN
ap-1193	229	12	generated	generate	VERB
ap-1193	229	13	by	by	ADP
ap-1193	229	14	the	the	DET
ap-1193	229	15	set	set	NOUN
ap-1193	229	16	of	of	ADP
ap-1193	229	17	bilocal	bilocal	ADJ
ap-1193	229	18	fields	field	NOUN
ap-1193	229	19	vm	vm	PROPN
ap-1193	229	20	)	)	PUNCT
ap-1193	229	21	determines	determine	VERB
ap-1193	229	22	the	the	DET
ap-1193	229	23	(	(	PUNCT
ap-1193	229	24	compact	compact	ADJ
ap-1193	229	25	)	)	PUNCT
ap-1193	229	26	gauge	gauge	NOUN
ap-1193	229	27	group	group	NOUN
ap-1193	229	28	and	and	CCONJ
ap-1193	229	29	the	the	DET
ap-1193	229	30	structure	structure	NOUN
ap-1193	229	31	of	of	ADP
ap-1193	229	32	the	the	DET
ap-1193	229	33	superselection	superselection	NOUN
ap-1193	229	34	sectors	sector	NOUN
ap-1193	229	35	of	of	ADP
ap-1193	229	36	the	the	DET
ap-1193	229	37	theory	theory	NOUN
ap-1193	229	38	.	.	PUNCT
ap-1193	230	1	(	(	PUNCT
ap-1193	230	2	for	for	ADP
ap-1193	230	3	a	a	DET
ap-1193	230	4	more	more	ADV
ap-1193	230	5	careful	careful	ADJ
ap-1193	230	6	comparison	comparison	NOUN
ap-1193	230	7	between	between	ADP
ap-1193	230	8	the	the	DET
ap-1193	230	9	two	two	NUM
ap-1193	230	10	approaches	approach	NOUN
ap-1193	230	11	–	–	PUNCT
ap-1193	230	12	see	see	VERB
ap-1193	230	13	sections	section	NOUN
ap-1193	230	14	1	1	NUM
ap-1193	230	15	and	and	CCONJ
ap-1193	230	16	4	4	NUM
ap-1193	230	17	of	of	ADP
ap-1193	230	18	[	[	X
ap-1193	230	19	2	2	NUM
ap-1193	230	20	]	]	PUNCT
ap-1193	230	21	.	.	PUNCT
ap-1193	230	22	)	)	PUNCT
ap-1193	231	1	the	the	DET
ap-1193	231	2	infinite	infinite	ADJ
ap-1193	231	3	dimensional	dimensional	ADJ
ap-1193	231	4	lie	lie	NOUN
ap-1193	231	5	algebra	algebra	NOUN
ap-1193	231	6	l(f	l(f	PROPN
ap-1193	231	7	)	)	PUNCT
ap-1193	231	8	and	and	CCONJ
ap-1193	231	9	the	the	DET
ap-1193	231	10	compact	compact	ADJ
ap-1193	231	11	gauge	gauge	NOUN
ap-1193	231	12	group	group	NOUN
ap-1193	231	13	u(n	u(n	PROPN
ap-1193	231	14	,	,	PUNCT
ap-1193	231	15	f	f	X
ap-1193	231	16	)	)	PUNCT
ap-1193	231	17	appear	appear	VERB
ap-1193	231	18	as	as	ADP
ap-1193	231	19	a	a	DET
ap-1193	231	20	rather	rather	ADV
ap-1193	231	21	special	special	ADJ
ap-1193	231	22	(	(	PUNCT
ap-1193	231	23	limit-	limit-	X
ap-1193	231	24	)	)	PUNCT
ap-1193	231	25	case	case	NOUN
ap-1193	231	26	of	of	ADP
ap-1193	231	27	a	a	DET
ap-1193	231	28	dual	dual	ADJ
ap-1193	231	29	pair	pair	NOUN
ap-1193	231	30	in	in	ADP
ap-1193	231	31	the	the	DET
ap-1193	231	32	sense	sense	NOUN
ap-1193	231	33	of	of	ADP
ap-1193	231	34	howe	howe	NOUN
ap-1193	231	35	[	[	X
ap-1193	231	36	16	16	NUM
ap-1193	231	37	]	]	PUNCT
ap-1193	231	38	,	,	PUNCT
ap-1193	231	39	[	[	X
ap-1193	231	40	17	17	NUM
ap-1193	231	41	]	]	PUNCT
ap-1193	231	42	.	.	PUNCT
ap-1193	232	1	it	it	PRON
ap-1193	232	2	would	would	AUX
ap-1193	232	3	be	be	AUX
ap-1193	232	4	interesting	interesting	ADJ
ap-1193	232	5	to	to	PART
ap-1193	232	6	explore	explore	VERB
ap-1193	232	7	whether	whether	SCONJ
ap-1193	232	8	other	other	ADJ
ap-1193	232	9	(	(	PUNCT
ap-1193	232	10	inequivalent	inequivalent	NOUN
ap-1193	232	11	)	)	PUNCT
ap-1193	232	12	pairs	pair	NOUN
ap-1193	232	13	would	would	AUX
ap-1193	232	14	appear	appear	VERB
ap-1193	232	15	in	in	ADP
ap-1193	232	16	the	the	DET
ap-1193	232	17	study	study	NOUN
ap-1193	232	18	of	of	ADP
ap-1193	232	19	commutator	commutator	NOUN
ap-1193	232	20	algebras	algebras	PROPN
ap-1193	232	21	of	of	ADP
ap-1193	232	22	(	(	PUNCT
ap-1193	232	23	spin)tensor	spin)tensor	PROPN
ap-1193	232	24	bifields	bifield	NOUN
ap-1193	232	25	(	(	PUNCT
ap-1193	232	26	discussed	discuss	VERB
ap-1193	232	27	in	in	ADP
ap-1193	232	28	remark	remark	NOUN
ap-1193	232	29	3.3	3.3	NUM
ap-1193	232	30	)	)	PUNCT
ap-1193	232	31	and	and	CCONJ
ap-1193	232	32	of	of	ADP
ap-1193	232	33	their	their	PRON
ap-1193	232	34	supersymmetric	supersymmetric	ADJ
ap-1193	232	35	extension	extension	NOUN
ap-1193	232	36	(	(	PUNCT
ap-1193	232	37	e.g.	e.g.	ADV
ap-1193	232	38	a	a	DET
ap-1193	232	39	limit	limit	NOUN
ap-1193	232	40	as	as	ADP
ap-1193	232	41	m	m	PROPN
ap-1193	232	42	,	,	PUNCT
ap-1193	232	43	n	n	PROPN
ap-1193	232	44	→	→	SYM
ap-1193	232	45	∞	∞	NUM
ap-1193	232	46	of	of	ADP
ap-1193	232	47	the	the	DET
ap-1193	232	48	series	series	NOUN
ap-1193	232	49	of	of	ADP
ap-1193	232	50	lie	lie	NOUN
ap-1193	232	51	superalgebras	superalgebras	PROPN
ap-1193	232	52	osp(4m∗|2n	osp(4m∗|2n	PROPN
ap-1193	232	53	)	)	PUNCT
ap-1193	232	54	studied	study	VERB
ap-1193	232	55	in	in	ADP
ap-1193	232	56	[	[	X
ap-1193	232	57	13	13	NUM
ap-1193	232	58	]	]	NUM
ap-1193	232	59	)	)	PUNCT
ap-1193	232	60	.	.	PUNCT
ap-1193	233	1	acknowledgement	acknowledgement	NOUN
ap-1193	233	2	it	it	PRON
ap-1193	233	3	is	be	AUX
ap-1193	233	4	a	a	DET
ap-1193	233	5	pleasure	pleasure	NOUN
ap-1193	233	6	to	to	PART
ap-1193	233	7	thank	thank	VERB
ap-1193	233	8	my	my	PRON
ap-1193	233	9	coauthors	coauthor	NOUN
ap-1193	233	10	bojko	bojko	PROPN
ap-1193	233	11	bakalov	bakalov	PROPN
ap-1193	233	12	,	,	PUNCT
ap-1193	233	13	nikolay	nikolay	NOUN
ap-1193	233	14	m.	m.	NOUN
ap-1193	233	15	nikolov	nikolov	PROPN
ap-1193	233	16	and	and	CCONJ
ap-1193	233	17	karl	karl	PROPN
ap-1193	233	18	-	-	PUNCT
ap-1193	233	19	henning	henning	PROPN
ap-1193	233	20	rehren	rehren	NOUN
ap-1193	233	21	:	:	PUNCT
ap-1193	233	22	all	all	DET
ap-1193	233	23	results	result	NOUN
ap-1193	233	24	(	(	PUNCT
ap-1193	233	25	reported	report	VERB
ap-1193	233	26	in	in	ADP
ap-1193	233	27	sects	sect	NOUN
ap-1193	233	28	.	.	PUNCT
ap-1193	234	1	3–5	3–5	X
ap-1193	234	2	)	)	PUNCT
ap-1193	234	3	of	of	ADP
ap-1193	234	4	this	this	DET
ap-1193	234	5	paper	paper	NOUN
ap-1193	234	6	have	have	AUX
ap-1193	234	7	been	be	AUX
ap-1193	234	8	obtained	obtain	VERB
ap-1193	234	9	in	in	ADP
ap-1193	234	10	collaboration	collaboration	NOUN
ap-1193	234	11	with	with	ADP
ap-1193	234	12	them	they	PRON
ap-1193	234	13	.	.	PUNCT
ap-1193	235	1	i	i	PRON
ap-1193	235	2	thank	thank	VERB
ap-1193	235	3	cestmir	cestmir	NOUN
ap-1193	235	4	burdik	burdik	NOUN
ap-1193	235	5	for	for	ADP
ap-1193	235	6	inviting	invite	VERB
ap-1193	235	7	me	i	PRON
ap-1193	235	8	to	to	PART
ap-1193	235	9	talk	talk	VERB
ap-1193	235	10	at	at	ADP
ap-1193	235	11	the	the	DET
ap-1193	235	12	meeting	meeting	NOUN
ap-1193	235	13	“	"	PUNCT
ap-1193	235	14	selected	select	VERB
ap-1193	235	15	topics	topic	NOUN
ap-1193	235	16	in	in	ADP
ap-1193	235	17	mathematical	mathematical	ADJ
ap-1193	235	18	and	and	CCONJ
ap-1193	235	19	particle	particle	NOUN
ap-1193	235	20	physics	physics	NOUN
ap-1193	235	21	”	"	PUNCT
ap-1193	235	22	,	,	PUNCT
ap-1193	235	23	prague	prague	PROPN
ap-1193	235	24	,	,	PUNCT
ap-1193	235	25	5–7	5–7	PROPN
ap-1193	235	26	may	may	PROPN
ap-1193	235	27	2009	2009	NUM
ap-1193	235	28	,	,	PUNCT
ap-1193	235	29	dedicated	dedicate	VERB
ap-1193	235	30	to	to	ADP
ap-1193	235	31	the	the	DET
ap-1193	235	32	70th	70th	ADJ
ap-1193	235	33	birthday	birthday	NOUN
ap-1193	235	34	of	of	ADP
ap-1193	235	35	jiri	jiri	PROPN
ap-1193	235	36	niederle	niederle	PROPN
ap-1193	235	37	.	.	PUNCT
ap-1193	236	1	i	i	PRON
ap-1193	236	2	also	also	ADV
ap-1193	236	3	acknowledge	acknowledge	VERB
ap-1193	236	4	a	a	DET
ap-1193	236	5	partial	partial	ADJ
ap-1193	236	6	support	support	NOUN
ap-1193	236	7	from	from	ADP
ap-1193	236	8	the	the	DET
ap-1193	236	9	bulgarian	bulgarian	ADJ
ap-1193	236	10	national	national	PROPN
ap-1193	236	11	council	council	PROPN
ap-1193	236	12	for	for	ADP
ap-1193	236	13	scientific	scientific	ADJ
ap-1193	236	14	research	research	NOUN
ap-1193	236	15	under	under	ADP
ap-1193	236	16	contracts	contract	NOUN
ap-1193	236	17	ph-1406	ph-1406	PROPN
ap-1193	236	18	and	and	CCONJ
ap-1193	236	19	do-02	do-02	NOUN
ap-1193	236	20	-	-	PUNCT
ap-1193	236	21	257	257	NUM
ap-1193	236	22	.	.	PUNCT
ap-1193	237	1	references	reference	NOUN
ap-1193	237	2	[	[	X
ap-1193	237	3	1	1	NUM
ap-1193	237	4	]	]	X
ap-1193	237	5	bakalov	bakalov	PROPN
ap-1193	237	6	,	,	PUNCT
ap-1193	237	7	b.	b.	PROPN
ap-1193	237	8	,	,	PUNCT
ap-1193	237	9	nikolov	nikolov	PROPN
ap-1193	237	10	,	,	PUNCT
ap-1193	237	11	n.	n.	NOUN
ap-1193	237	12	m.	m.	NOUN
ap-1193	237	13	:	:	PUNCT
ap-1193	238	1	jacobi	jacobi	PROPN
ap-1193	238	2	identities	identity	NOUN
ap-1193	238	3	for	for	ADP
ap-1193	238	4	vertex	vertex	NOUN
ap-1193	238	5	algebras	algebra	NOUN
ap-1193	238	6	in	in	ADP
ap-1193	238	7	higher	high	ADJ
ap-1193	238	8	dimensions	dimension	NOUN
ap-1193	238	9	,	,	PUNCT
ap-1193	238	10	j.	j.	PROPN
ap-1193	238	11	math	math	PROPN
ap-1193	238	12	.	.	PUNCT
ap-1193	239	1	phys	phy	NOUN
ap-1193	239	2	.	.	PUNCT
ap-1193	240	1	47	47	NUM
ap-1193	240	2	(	(	PUNCT
ap-1193	240	3	2006	2006	NUM
ap-1193	240	4	)	)	PUNCT
ap-1193	240	5	053505	053505	NUM
ap-1193	240	6	(	(	PUNCT
ap-1193	240	7	30	30	NUM
ap-1193	240	8	pp	pp	NOUN
ap-1193	240	9	.	.	PUNCT
ap-1193	240	10	)	)	PUNCT
ap-1193	240	11	;	;	PUNCT
ap-1193	240	12	mathph/0601012	mathph/0601012	NOUN
ap-1193	240	13	.	.	PUNCT
ap-1193	241	1	[	[	X
ap-1193	241	2	2	2	NUM
ap-1193	241	3	]	]	X
ap-1193	241	4	bakalov	bakalov	PROPN
ap-1193	241	5	,	,	PUNCT
ap-1193	241	6	b.	b.	PROPN
ap-1193	241	7	,	,	PUNCT
ap-1193	241	8	nikolov	nikolov	PROPN
ap-1193	241	9	,	,	PUNCT
ap-1193	241	10	n.	n.	NOUN
ap-1193	241	11	m.	m.	NOUN
ap-1193	241	12	,	,	PUNCT
ap-1193	241	13	rehren	rehren	PROPN
ap-1193	241	14	,	,	PUNCT
ap-1193	241	15	k.-h	k.-h	PROPN
ap-1193	241	16	.	.	PUNCT
ap-1193	241	17	,	,	PUNCT
ap-1193	241	18	todorov	todorov	PROPN
ap-1193	241	19	,	,	PUNCT
ap-1193	241	20	i.	i.	NOUN
ap-1193	241	21	:	:	PUNCT
ap-1193	241	22	unitary	unitary	ADJ
ap-1193	241	23	positive	positive	ADJ
ap-1193	241	24	energy	energy	NOUN
ap-1193	241	25	representations	representation	NOUN
ap-1193	241	26	of	of	ADP
ap-1193	241	27	scalar	scalar	ADJ
ap-1193	241	28	bilocal	bilocal	ADJ
ap-1193	241	29	quantum	quantum	ADJ
ap-1193	241	30	fields	field	NOUN
ap-1193	241	31	,	,	PUNCT
ap-1193	241	32	commun	commun	PROPN
ap-1193	241	33	.	.	PUNCT
ap-1193	241	34	math	math	NOUN
ap-1193	241	35	.	.	PUNCT
ap-1193	242	1	phys	phy	NOUN
ap-1193	242	2	.	.	PUNCT
ap-1193	243	1	271	271	NUM
ap-1193	243	2	(	(	PUNCT
ap-1193	243	3	2007	2007	NUM
ap-1193	243	4	)	)	PUNCT
ap-1193	244	1	223–246	223–246	NUM
ap-1193	244	2	;	;	PUNCT
ap-1193	244	3	mathph/0604069	mathph/0604069	NOUN
ap-1193	244	4	.	.	PUNCT
ap-1193	245	1	[	[	X
ap-1193	245	2	3	3	NUM
ap-1193	245	3	]	]	X
ap-1193	245	4	bakalov	bakalov	PROPN
ap-1193	245	5	,	,	PUNCT
ap-1193	245	6	b.	b.	PROPN
ap-1193	245	7	,	,	PUNCT
ap-1193	245	8	nikolov	nikolov	PROPN
ap-1193	245	9	,	,	PUNCT
ap-1193	245	10	n.	n.	NOUN
ap-1193	245	11	m.	m.	NOUN
ap-1193	245	12	,	,	PUNCT
ap-1193	245	13	rehren	rehren	PROPN
ap-1193	245	14	,	,	PUNCT
ap-1193	245	15	k.-h	k.-h	PROPN
ap-1193	245	16	.	.	PUNCT
ap-1193	245	17	,	,	PUNCT
ap-1193	245	18	todorov	todorov	PROPN
ap-1193	245	19	,	,	PUNCT
ap-1193	245	20	i.	i.	NOUN
ap-1193	245	21	:	:	PUNCT
ap-1193	245	22	infinite	infinite	ADJ
ap-1193	245	23	dimensional	dimensional	ADJ
ap-1193	245	24	lie	lie	NOUN
ap-1193	245	25	algebras	algebra	NOUN
ap-1193	245	26	of	of	ADP
ap-1193	245	27	4d	4d	NUM
ap-1193	245	28	conformal	conformal	ADJ
ap-1193	245	29	quantum	quantum	NOUN
ap-1193	245	30	field	field	NOUN
ap-1193	245	31	theory	theory	NOUN
ap-1193	245	32	,	,	PUNCT
ap-1193	245	33	j.	j.	PROPN
ap-1193	245	34	phys	phys	PROPN
ap-1193	245	35	.	.	PUNCT
ap-1193	246	1	a	a	DET
ap-1193	246	2	math	math	NOUN
ap-1193	246	3	.	.	PUNCT
ap-1193	247	1	theor	theor	PROPN
ap-1193	247	2	.	.	PUNCT
ap-1193	248	1	41	41	NUM
ap-1193	248	2	(	(	PUNCT
ap-1193	248	3	2008	2008	NUM
ap-1193	248	4	)	)	PUNCT
ap-1193	248	5	194002	194002	NUM
ap-1193	248	6	;	;	PUNCT
ap-1193	248	7	arxiv:0701.0627	arxiv:0701.0627	VERB
ap-1193	248	8	[	[	PUNCT
ap-1193	248	9	hep	hep	NOUN
ap-1193	248	10	-	-	PUNCT
ap-1193	248	11	th	th	X
ap-1193	248	12	]	]	PUNCT
ap-1193	248	13	.	.	PUNCT
ap-1193	249	1	[	[	X
ap-1193	249	2	4	4	NUM
ap-1193	249	3	]	]	X
ap-1193	249	4	baumann	baumann	PROPN
ap-1193	249	5	,	,	PUNCT
ap-1193	249	6	k.	k.	PROPN
ap-1193	249	7	:	:	PUNCT
ap-1193	249	8	there	there	PRON
ap-1193	249	9	are	be	VERB
ap-1193	249	10	no	no	DET
ap-1193	249	11	scalar	scalar	ADJ
ap-1193	249	12	lie	lie	NOUN
ap-1193	249	13	fields	field	NOUN
ap-1193	249	14	in	in	ADP
ap-1193	249	15	three	three	NUM
ap-1193	249	16	or	or	CCONJ
ap-1193	249	17	more	more	ADV
ap-1193	249	18	dimensional	dimensional	ADJ
ap-1193	249	19	space	space	NOUN
ap-1193	249	20	-	-	PUNCT
ap-1193	249	21	time	time	NOUN
ap-1193	249	22	,	,	PUNCT
ap-1193	249	23	commun	commun	PROPN
ap-1193	249	24	.	.	PUNCT
ap-1193	249	25	math	math	NOUN
ap-1193	249	26	.	.	PUNCT
ap-1193	250	1	phys	phy	NOUN
ap-1193	250	2	.	.	PUNCT
ap-1193	251	1	47	47	NUM
ap-1193	251	2	(	(	PUNCT
ap-1193	251	3	1976	1976	NUM
ap-1193	251	4	)	)	PUNCT
ap-1193	251	5	69–74	69–74	NUM
ap-1193	251	6	.	.	PUNCT
ap-1193	252	1	[	[	X
ap-1193	252	2	5	5	NUM
ap-1193	252	3	]	]	PUNCT
ap-1193	252	4	borcherds	borcherd	NOUN
ap-1193	252	5	,	,	PUNCT
ap-1193	252	6	r.	r.	PROPN
ap-1193	252	7	:	:	PUNCT
ap-1193	252	8	vertex	vertex	NOUN
ap-1193	252	9	algebras	algebras	PROPN
ap-1193	252	10	,	,	PUNCT
ap-1193	252	11	kac	kac	PROPN
ap-1193	252	12	-	-	PUNCT
ap-1193	252	13	moody	moody	PROPN
ap-1193	252	14	algebras	algebra	NOUN
ap-1193	252	15	and	and	CCONJ
ap-1193	252	16	the	the	DET
ap-1193	252	17	monster	monster	NOUN
ap-1193	252	18	,	,	PUNCT
ap-1193	252	19	proc	proc	PROPN
ap-1193	252	20	.	.	PUNCT
ap-1193	253	1	natl	natl	PROPN
ap-1193	253	2	.	.	PUNCT
ap-1193	254	1	acad	acad	PROPN
ap-1193	254	2	.	.	PUNCT
ap-1193	255	1	sci	sci	PROPN
ap-1193	255	2	.	.	PROPN
ap-1193	255	3	usa	usa	PROPN
ap-1193	255	4	83	83	NUM
ap-1193	255	5	(	(	PUNCT
ap-1193	255	6	1986	1986	NUM
ap-1193	255	7	)	)	PUNCT
ap-1193	255	8	3	3	NUM
ap-1193	255	9	068–3071	068–3071	NUM
ap-1193	255	10	.	.	PUNCT
ap-1193	256	1	[	[	X
ap-1193	256	2	6	6	NUM
ap-1193	256	3	]	]	X
ap-1193	256	4	dobrev	dobrev	PROPN
ap-1193	256	5	,	,	PUNCT
ap-1193	256	6	v.	v.	PROPN
ap-1193	256	7	k.	k.	PROPN
ap-1193	256	8	,	,	PUNCT
ap-1193	256	9	mack	mack	PROPN
ap-1193	256	10	,	,	PUNCT
ap-1193	256	11	g.	g.	PROPN
ap-1193	256	12	,	,	PUNCT
ap-1193	256	13	petkova	petkova	PROPN
ap-1193	256	14	,	,	PUNCT
ap-1193	256	15	v.	v.	PROPN
ap-1193	256	16	b.	b.	PROPN
ap-1193	256	17	,	,	PUNCT
ap-1193	256	18	petrova	petrova	PROPN
ap-1193	256	19	,	,	PUNCT
ap-1193	256	20	s.	s.	PROPN
ap-1193	256	21	g.	g.	PROPN
ap-1193	256	22	,	,	PUNCT
ap-1193	256	23	todorov	todorov	PROPN
ap-1193	256	24	,	,	PUNCT
ap-1193	256	25	i.	i.	PROPN
ap-1193	256	26	t.	t.	PROPN
ap-1193	256	27	:	:	PUNCT
ap-1193	256	28	harmonic	harmonic	VERB
ap-1193	256	29	analysis	analysis	NOUN
ap-1193	256	30	on	on	ADP
ap-1193	256	31	the	the	DET
ap-1193	256	32	n	n	ADV
ap-1193	256	33	-	-	PUNCT
ap-1193	256	34	dimensional	dimensional	ADJ
ap-1193	256	35	lorentz	lorentz	PROPN
ap-1193	256	36	group	group	NOUN
ap-1193	256	37	and	and	CCONJ
ap-1193	256	38	its	its	PRON
ap-1193	256	39	application	application	NOUN
ap-1193	256	40	to	to	ADP
ap-1193	256	41	conformal	conformal	ADJ
ap-1193	256	42	quantum	quantum	NOUN
ap-1193	256	43	field	field	NOUN
ap-1193	256	44	theory	theory	NOUN
ap-1193	256	45	,	,	PUNCT
ap-1193	256	46	lecture	lecture	NOUN
ap-1193	256	47	notes	note	NOUN
ap-1193	256	48	in	in	ADP
ap-1193	256	49	physics	physics	NOUN
ap-1193	256	50	63	63	NUM
ap-1193	256	51	,	,	PUNCT
ap-1193	256	52	springer	springer	NOUN
ap-1193	256	53	,	,	PUNCT
ap-1193	256	54	berlin	berlin	PROPN
ap-1193	256	55	1977	1977	NUM
ap-1193	256	56	.	.	PUNCT
ap-1193	257	1	59	59	NUM
ap-1193	257	2	acta	acta	PROPN
ap-1193	257	3	polytechnica	polytechnica	PROPN
ap-1193	257	4	vol	vol	NOUN
ap-1193	257	5	.	.	PROPN
ap-1193	258	1	50	50	NUM
ap-1193	258	2	no	no	NOUN
ap-1193	258	3	.	.	PUNCT
ap-1193	259	1	3/2010	3/2010	NUM
ap-1193	259	2	[	[	X
ap-1193	259	3	7	7	NUM
ap-1193	259	4	]	]	X
ap-1193	259	5	dolan	dolan	PROPN
ap-1193	259	6	,	,	PUNCT
ap-1193	259	7	f.	f.	PROPN
ap-1193	259	8	a.	a.	PROPN
ap-1193	259	9	,	,	PUNCT
ap-1193	259	10	osborn	osborn	PROPN
ap-1193	259	11	,	,	PUNCT
ap-1193	259	12	h.	h.	PROPN
ap-1193	259	13	:	:	PUNCT
ap-1193	259	14	conformal	conformal	NOUN
ap-1193	259	15	four	four	NUM
ap-1193	259	16	point	point	NOUN
ap-1193	259	17	functions	function	NOUN
ap-1193	259	18	and	and	CCONJ
ap-1193	259	19	operator	operator	NOUN
ap-1193	259	20	product	product	NOUN
ap-1193	259	21	expansion	expansion	NOUN
ap-1193	259	22	,	,	PUNCT
ap-1193	259	23	nucl	nucl	PROPN
ap-1193	259	24	.	.	PUNCT
ap-1193	260	1	phys	phy	NOUN
ap-1193	260	2	.	.	PUNCT
ap-1193	261	1	b599	b599	PUNCT
ap-1193	261	2	(	(	PUNCT
ap-1193	261	3	2001	2001	NUM
ap-1193	261	4	)	)	PUNCT
ap-1193	261	5	459–496	459–496	NUM
ap-1193	261	6	.	.	PUNCT
ap-1193	262	1	[	[	X
ap-1193	262	2	8	8	NUM
ap-1193	262	3	]	]	X
ap-1193	262	4	doplicher	doplicher	NOUN
ap-1193	262	5	,	,	PUNCT
ap-1193	262	6	s.	s.	PROPN
ap-1193	262	7	,	,	PUNCT
ap-1193	262	8	roberts	roberts	PROPN
ap-1193	262	9	,	,	PUNCT
ap-1193	262	10	j.	j.	PROPN
ap-1193	262	11	:	:	PUNCT
ap-1193	262	12	why	why	SCONJ
ap-1193	262	13	there	there	PRON
ap-1193	262	14	is	be	VERB
ap-1193	262	15	a	a	DET
ap-1193	262	16	field	field	NOUN
ap-1193	262	17	algebra	algebra	NOUN
ap-1193	262	18	with	with	ADP
ap-1193	262	19	a	a	DET
ap-1193	262	20	compact	compact	ADJ
ap-1193	262	21	gauge	gauge	NOUN
ap-1193	262	22	group	group	NOUN
ap-1193	262	23	describing	describe	VERB
ap-1193	262	24	the	the	DET
ap-1193	262	25	superselection	superselection	NOUN
ap-1193	262	26	structure	structure	NOUN
ap-1193	262	27	in	in	ADP
ap-1193	262	28	particle	particle	NOUN
ap-1193	262	29	physics	physics	PROPN
ap-1193	262	30	,	,	PUNCT
ap-1193	262	31	commun	commun	PROPN
ap-1193	262	32	.	.	PUNCT
ap-1193	262	33	math	math	NOUN
ap-1193	262	34	.	.	PUNCT
ap-1193	263	1	phys	phy	NOUN
ap-1193	263	2	.	.	PUNCT
ap-1193	264	1	131	131	NUM
ap-1193	264	2	(	(	PUNCT
ap-1193	264	3	1991	1991	NUM
ap-1193	264	4	)	)	PUNCT
ap-1193	265	1	51–107	51–107	PROPN
ap-1193	265	2	.	.	PUNCT
ap-1193	266	1	[	[	X
ap-1193	266	2	9	9	NUM
ap-1193	266	3	]	]	SYM
ap-1193	266	4	enright	enright	PROPN
ap-1193	266	5	,	,	PUNCT
ap-1193	266	6	t.	t.	PROPN
ap-1193	266	7	,	,	PUNCT
ap-1193	266	8	howe	howe	PROPN
ap-1193	266	9	,	,	PUNCT
ap-1193	266	10	r.	r.	PROPN
ap-1193	266	11	,	,	PUNCT
ap-1193	266	12	wallach	wallach	PROPN
ap-1193	266	13	,	,	PUNCT
ap-1193	266	14	n.	n.	NOUN
ap-1193	266	15	:	:	PUNCT
ap-1193	266	16	a	a	DET
ap-1193	266	17	classification	classification	NOUN
ap-1193	266	18	of	of	ADP
ap-1193	266	19	uniatry	uniatry	NOUN
ap-1193	266	20	highest	high	ADJ
ap-1193	266	21	weight	weight	NOUN
ap-1193	266	22	modules	module	NOUN
ap-1193	266	23	,	,	PUNCT
ap-1193	266	24	in	in	ADP
ap-1193	266	25	representation	representation	NOUN
ap-1193	266	26	theory	theory	NOUN
ap-1193	266	27	of	of	ADP
ap-1193	266	28	reductive	reductive	ADJ
ap-1193	266	29	groups	group	NOUN
ap-1193	266	30	,	,	PUNCT
ap-1193	266	31	progress	progress	NOUN
ap-1193	266	32	in	in	ADP
ap-1193	266	33	mathematics	mathematics	PROPN
ap-1193	266	34	40	40	NUM
ap-1193	266	35	,	,	PUNCT
ap-1193	266	36	birkhäuser	birkhäuser	NOUN
ap-1193	266	37	,	,	PUNCT
ap-1193	266	38	basel	basel	PROPN
ap-1193	266	39	1983	1983	NUM
ap-1193	266	40	,	,	PUNCT
ap-1193	266	41	pp	pp	ADP
ap-1193	266	42	.	.	PUNCT
ap-1193	267	1	97–143	97–143	NOUN
ap-1193	267	2	.	.	PUNCT
ap-1193	268	1	[	[	X
ap-1193	268	2	10	10	NUM
ap-1193	268	3	]	]	SYM
ap-1193	268	4	frenkel	frenkel	NOUN
ap-1193	268	5	,	,	PUNCT
ap-1193	268	6	e.	e.	PROPN
ap-1193	268	7	,	,	PUNCT
ap-1193	268	8	ben	ben	PROPN
ap-1193	268	9	-	-	PUNCT
ap-1193	268	10	zvi	zvi	PROPN
ap-1193	268	11	,	,	PUNCT
ap-1193	268	12	d.	d.	PROPN
ap-1193	268	13	:	:	PUNCT
ap-1193	268	14	vertex	vertex	PROPN
ap-1193	268	15	alegbras	alegbras	PROPN
ap-1193	268	16	and	and	CCONJ
ap-1193	268	17	algebraic	algebraic	ADJ
ap-1193	268	18	curves	curve	NOUN
ap-1193	268	19	,	,	PUNCT
ap-1193	268	20	mathematical	mathematical	ADJ
ap-1193	268	21	surveys	survey	NOUN
ap-1193	268	22	and	and	CCONJ
ap-1193	268	23	monographs	monograph	NOUN
ap-1193	268	24	88	88	NUM
ap-1193	268	25	,	,	PUNCT
ap-1193	268	26	ams	am	NOUN
ap-1193	268	27	2001	2001	NUM
ap-1193	268	28	;	;	PUNCT
ap-1193	268	29	second	second	ADJ
ap-1193	268	30	ed	ed	NOUN
ap-1193	268	31	.	.	PUNCT
ap-1193	269	1	2004	2004	NUM
ap-1193	269	2	.	.	PUNCT
ap-1193	270	1	[	[	X
ap-1193	270	2	11	11	NUM
ap-1193	270	3	]	]	SYM
ap-1193	270	4	frenkel	frenkel	NOUN
ap-1193	270	5	,	,	PUNCT
ap-1193	270	6	i.	i.	PROPN
ap-1193	270	7	b.	b.	PROPN
ap-1193	270	8	,	,	PUNCT
ap-1193	270	9	kac	kac	PROPN
ap-1193	270	10	,	,	PUNCT
ap-1193	270	11	v.	v.	PROPN
ap-1193	270	12	g.	g.	PROPN
ap-1193	270	13	:	:	PUNCT
ap-1193	270	14	basic	basic	ADJ
ap-1193	270	15	representations	representation	NOUN
ap-1193	270	16	of	of	ADP
ap-1193	270	17	affine	affine	NOUN
ap-1193	270	18	lie	lie	NOUN
ap-1193	270	19	algebras	algebra	NOUN
ap-1193	270	20	and	and	CCONJ
ap-1193	270	21	dual	dual	ADJ
ap-1193	270	22	resonance	resonance	NOUN
ap-1193	270	23	models	model	NOUN
ap-1193	270	24	,	,	PUNCT
ap-1193	270	25	inventiones	inventione	VERB
ap-1193	270	26	math	math	NOUN
ap-1193	270	27	.	.	PUNCT
ap-1193	271	1	62	62	NUM
ap-1193	271	2	(	(	PUNCT
ap-1193	271	3	1980	1980	NUM
ap-1193	271	4	)	)	PUNCT
ap-1193	271	5	23–66	23–66	NUM
ap-1193	271	6	.	.	PUNCT
ap-1193	272	1	[	[	X
ap-1193	272	2	12	12	NUM
ap-1193	272	3	]	]	X
ap-1193	272	4	günaydin	günaydin	NOUN
ap-1193	272	5	,	,	PUNCT
ap-1193	272	6	m.	m.	NOUN
ap-1193	272	7	,	,	PUNCT
ap-1193	272	8	pavlyk	pavlyk	VERB
ap-1193	272	9	,	,	PUNCT
ap-1193	272	10	o.	o.	INTJ
ap-1193	272	11	:	:	PUNCT
ap-1193	272	12	a	a	DET
ap-1193	272	13	unified	unified	ADJ
ap-1193	272	14	approach	approach	NOUN
ap-1193	272	15	to	to	ADP
ap-1193	272	16	the	the	DET
ap-1193	272	17	minimal	minimal	ADJ
ap-1193	272	18	unitary	unitary	ADJ
ap-1193	272	19	realizations	realization	NOUN
ap-1193	272	20	of	of	ADP
ap-1193	272	21	noncompact	noncompact	ADJ
ap-1193	272	22	groups	group	NOUN
ap-1193	272	23	and	and	CCONJ
ap-1193	272	24	supergroups	supergroup	NOUN
ap-1193	272	25	,	,	PUNCT
ap-1193	272	26	jhep	jhep	ADJ
ap-1193	272	27	0609	0609	NUM
ap-1193	272	28	(	(	PUNCT
ap-1193	272	29	2006	2006	NUM
ap-1193	272	30	)	)	PUNCT
ap-1193	272	31	050	050	NUM
ap-1193	272	32	;	;	PUNCT
ap-1193	273	1	hep	hep	NOUN
ap-1193	273	2	-	-	NOUN
ap-1193	273	3	th/0604077v2	th/0604077v2	NOUN
ap-1193	273	4	.	.	PUNCT
ap-1193	274	1	[	[	X
ap-1193	274	2	13	13	NUM
ap-1193	274	3	]	]	X
ap-1193	274	4	günaydin	günaydin	PRON
ap-1193	274	5	,	,	PUNCT
ap-1193	274	6	m.	m.	NOUN
ap-1193	274	7	,	,	PUNCT
ap-1193	274	8	scalise	scalise	PROPN
ap-1193	274	9	,	,	PUNCT
ap-1193	274	10	r.	r.	PROPN
ap-1193	274	11	:	:	PUNCT
ap-1193	274	12	unitary	unitary	ADJ
ap-1193	274	13	lowest	low	ADJ
ap-1193	274	14	weight	weight	NOUN
ap-1193	274	15	representations	representation	NOUN
ap-1193	274	16	of	of	ADP
ap-1193	274	17	the	the	DET
ap-1193	274	18	non	non	ADJ
ap-1193	274	19	-	-	ADJ
ap-1193	274	20	compact	compact	ADJ
ap-1193	274	21	supergroup	supergroup	NOUN
ap-1193	274	22	osp(2m∗|2n	osp(2m∗|2n	PROPN
ap-1193	274	23	)	)	PUNCT
ap-1193	274	24	,	,	PUNCT
ap-1193	274	25	j.	j.	PROPN
ap-1193	274	26	math	math	PROPN
ap-1193	274	27	.	.	PUNCT
ap-1193	275	1	phys	phy	NOUN
ap-1193	275	2	.	.	PUNCT
ap-1193	276	1	32	32	NUM
ap-1193	276	2	(	(	PUNCT
ap-1193	276	3	1991	1991	NUM
ap-1193	276	4	)	)	PUNCT
ap-1193	277	1	599–606	599–606	NUM
ap-1193	277	2	.	.	PUNCT
ap-1193	278	1	[	[	X
ap-1193	278	2	14	14	NUM
ap-1193	278	3	]	]	X
ap-1193	278	4	haag	haag	PROPN
ap-1193	278	5	,	,	PUNCT
ap-1193	278	6	r.	r.	PROPN
ap-1193	278	7	:	:	PUNCT
ap-1193	278	8	local	local	ADJ
ap-1193	278	9	quantum	quantum	ADJ
ap-1193	278	10	physics	physics	NOUN
ap-1193	278	11	:	:	PUNCT
ap-1193	278	12	fields	field	NOUN
ap-1193	278	13	,	,	PUNCT
ap-1193	278	14	particles	particle	NOUN
ap-1193	278	15	,	,	PUNCT
ap-1193	278	16	algebras	algebra	NOUN
ap-1193	278	17	,	,	PUNCT
ap-1193	278	18	springer	springer	NOUN
ap-1193	278	19	,	,	PUNCT
ap-1193	278	20	berlin	berlin	PROPN
ap-1193	278	21	1992	1992	NUM
ap-1193	278	22	,	,	PUNCT
ap-1193	278	23	412	412	NUM
ap-1193	279	1	p.	p.	NOUN
ap-1193	280	1	[	[	X
ap-1193	280	2	15	15	NUM
ap-1193	280	3	]	]	X
ap-1193	280	4	howe	howe	NOUN
ap-1193	280	5	,	,	PUNCT
ap-1193	280	6	r.	r.	PROPN
ap-1193	280	7	:	:	PUNCT
ap-1193	280	8	on	on	ADP
ap-1193	280	9	the	the	DET
ap-1193	280	10	role	role	NOUN
ap-1193	280	11	of	of	ADP
ap-1193	280	12	the	the	DET
ap-1193	280	13	heisenberg	heisenberg	PROPN
ap-1193	280	14	group	group	NOUN
ap-1193	280	15	in	in	ADP
ap-1193	280	16	harmonic	harmonic	ADJ
ap-1193	280	17	analysis	analysis	NOUN
ap-1193	280	18	,	,	PUNCT
ap-1193	280	19	bull	bull	NOUN
ap-1193	280	20	.	.	PUNCT
ap-1193	281	1	amer	amer	PROPN
ap-1193	281	2	.	.	PUNCT
ap-1193	281	3	math	math	PROPN
ap-1193	281	4	.	.	PUNCT
ap-1193	282	1	soc	soc	PROPN
ap-1193	282	2	.	.	PUNCT
ap-1193	283	1	3:2	3:2	NUM
ap-1193	283	2	(	(	PUNCT
ap-1193	283	3	1980	1980	NUM
ap-1193	283	4	)	)	PUNCT
ap-1193	283	5	821–843	821–843	NUM
ap-1193	283	6	.	.	PUNCT
ap-1193	284	1	[	[	X
ap-1193	284	2	16	16	NUM
ap-1193	284	3	]	]	X
ap-1193	284	4	howe	howe	NOUN
ap-1193	284	5	,	,	PUNCT
ap-1193	284	6	r.	r.	PROPN
ap-1193	284	7	:	:	PUNCT
ap-1193	284	8	dual	dual	ADJ
ap-1193	284	9	pairs	pair	NOUN
ap-1193	284	10	in	in	ADP
ap-1193	284	11	physics	physics	NOUN
ap-1193	284	12	:	:	PUNCT
ap-1193	284	13	harmonic	harmonic	ADJ
ap-1193	284	14	oscillators	oscillator	NOUN
ap-1193	284	15	,	,	PUNCT
ap-1193	284	16	photons	photon	NOUN
ap-1193	284	17	,	,	PUNCT
ap-1193	284	18	electrons	electron	NOUN
ap-1193	284	19	,	,	PUNCT
ap-1193	284	20	and	and	CCONJ
ap-1193	284	21	singletons	singleton	NOUN
ap-1193	284	22	,	,	PUNCT
ap-1193	284	23	in	in	ADP
ap-1193	284	24	applications	application	NOUN
ap-1193	284	25	of	of	ADP
ap-1193	284	26	group	group	NOUN
ap-1193	284	27	theory	theory	NOUN
ap-1193	284	28	in	in	ADP
ap-1193	284	29	physics	physics	PROPN
ap-1193	284	30	and	and	CCONJ
ap-1193	284	31	matehmatical	matehmatical	PROPN
ap-1193	284	32	physics	physics	PROPN
ap-1193	284	33	,	,	PUNCT
ap-1193	284	34	m.	m.	NOUN
ap-1193	284	35	flato	flato	PROPN
ap-1193	284	36	,	,	PUNCT
ap-1193	284	37	p.	p.	PROPN
ap-1193	284	38	sally	sally	PROPN
ap-1193	284	39	,	,	PUNCT
ap-1193	284	40	g.	g.	PROPN
ap-1193	284	41	zuckerman	zuckerman	PROPN
ap-1193	284	42	(	(	PUNCT
ap-1193	284	43	eds	eds	PROPN
ap-1193	284	44	.	.	PUNCT
ap-1193	284	45	)	)	PUNCT
ap-1193	284	46	lectures	lecture	NOUN
ap-1193	284	47	in	in	ADP
ap-1193	284	48	applied	applied	ADJ
ap-1193	284	49	mathematics	mathematic	NOUN
ap-1193	284	50	21	21	NUM
ap-1193	284	51	amer	amer	PROPN
ap-1193	284	52	.	.	PUNCT
ap-1193	285	1	math	math	PROPN
ap-1193	285	2	.	.	PUNCT
ap-1193	286	1	soc	soc	PROPN
ap-1193	286	2	.	.	PUNCT
ap-1193	286	3	,	,	PUNCT
ap-1193	286	4	providence	providence	NOUN
ap-1193	286	5	,	,	PUNCT
ap-1193	286	6	r.i	r.i	PROPN
ap-1193	286	7	.	.	PROPN
ap-1193	286	8	1985	1985	NUM
ap-1193	286	9	,	,	PUNCT
ap-1193	286	10	pp	pp	X
ap-1193	286	11	.	.	PUNCT
ap-1193	287	1	179–206	179–206	NUM
ap-1193	287	2	.	.	PUNCT
ap-1193	288	1	[	[	X
ap-1193	288	2	17	17	NUM
ap-1193	288	3	]	]	PUNCT
ap-1193	288	4	howe	howe	NOUN
ap-1193	288	5	,	,	PUNCT
ap-1193	288	6	r.	r.	PROPN
ap-1193	288	7	:	:	PUNCT
ap-1193	288	8	remarks	remark	NOUN
ap-1193	288	9	on	on	ADP
ap-1193	288	10	classical	classical	ADJ
ap-1193	288	11	invariant	invariant	ADJ
ap-1193	288	12	theory	theory	NOUN
ap-1193	288	13	,	,	PUNCT
ap-1193	288	14	trans	trans	PROPN
ap-1193	288	15	.	.	PROPN
ap-1193	289	1	amer	amer	PROPN
ap-1193	289	2	.	.	PUNCT
ap-1193	289	3	math	math	PROPN
ap-1193	289	4	.	.	PUNCT
ap-1193	290	1	soc	soc	PROPN
ap-1193	290	2	.	.	PUNCT
ap-1193	291	1	313	313	NUM
ap-1193	291	2	(	(	PUNCT
ap-1193	291	3	1989	1989	NUM
ap-1193	291	4	)	)	PUNCT
ap-1193	291	5	539–570	539–570	NUM
ap-1193	291	6	;	;	PUNCT
ap-1193	291	7	transcending	transcend	VERB
ap-1193	291	8	classical	classical	ADJ
ap-1193	291	9	invariant	invariant	ADJ
ap-1193	291	10	theory	theory	NOUN
ap-1193	291	11	,	,	PUNCT
ap-1193	291	12	j.	j.	PROPN
ap-1193	291	13	amer	amer	PROPN
ap-1193	291	14	.	.	PROPN
ap-1193	291	15	math	math	PROPN
ap-1193	291	16	.	.	PUNCT
ap-1193	292	1	soc	soc	PROPN
ap-1193	292	2	.	.	PUNCT
ap-1193	293	1	2:3	2:3	NUM
ap-1193	293	2	(	(	PUNCT
ap-1193	293	3	1989	1989	NUM
ap-1193	293	4	)	)	PUNCT
ap-1193	293	5	535–552	535–552	NUM
ap-1193	293	6	.	.	PUNCT
ap-1193	294	1	[	[	X
ap-1193	294	2	18	18	NUM
ap-1193	294	3	]	]	SYM
ap-1193	294	4	jakobsen	jakobsen	NOUN
ap-1193	294	5	,	,	PUNCT
ap-1193	294	6	h.	h.	PROPN
ap-1193	294	7	p.	p.	PROPN
ap-1193	294	8	:	:	PUNCT
ap-1193	294	9	the	the	DET
ap-1193	294	10	last	last	ADJ
ap-1193	294	11	possible	possible	ADJ
ap-1193	294	12	place	place	NOUN
ap-1193	294	13	of	of	ADP
ap-1193	294	14	unitarity	unitarity	NOUN
ap-1193	294	15	for	for	ADP
ap-1193	294	16	certain	certain	ADJ
ap-1193	294	17	highest	high	ADJ
ap-1193	294	18	weight	weight	NOUN
ap-1193	294	19	module	module	NOUN
ap-1193	294	20	,	,	PUNCT
ap-1193	294	21	math	math	NOUN
ap-1193	294	22	.	.	PUNCT
ap-1193	295	1	ann	ann	PROPN
ap-1193	295	2	.	.	PROPN
ap-1193	296	1	256	256	NUM
ap-1193	296	2	(	(	PUNCT
ap-1193	296	3	1981	1981	NUM
ap-1193	296	4	)	)	PUNCT
ap-1193	296	5	439–447	439–447	NUM
ap-1193	296	6	.	.	PUNCT
ap-1193	297	1	[	[	X
ap-1193	297	2	19	19	NUM
ap-1193	297	3	]	]	X
ap-1193	297	4	joseph	joseph	PROPN
ap-1193	297	5	,	,	PUNCT
ap-1193	297	6	a.	a.	NOUN
ap-1193	297	7	:	:	PUNCT
ap-1193	297	8	minimal	minimal	ADJ
ap-1193	297	9	realizations	realization	NOUN
ap-1193	297	10	and	and	CCONJ
ap-1193	297	11	spectrum	spectrum	NOUN
ap-1193	297	12	generating	generating	NOUN
ap-1193	297	13	algebras	algebra	NOUN
ap-1193	297	14	,	,	PUNCT
ap-1193	297	15	commun	commun	PROPN
ap-1193	297	16	.	.	PUNCT
ap-1193	297	17	math	math	NOUN
ap-1193	297	18	.	.	PUNCT
ap-1193	298	1	phys	phy	NOUN
ap-1193	298	2	.	.	PUNCT
ap-1193	299	1	36	36	NUM
ap-1193	299	2	(	(	PUNCT
ap-1193	299	3	1974	1974	NUM
ap-1193	299	4	)	)	PUNCT
ap-1193	299	5	325–338	325–338	NUM
ap-1193	299	6	;	;	PUNCT
ap-1193	299	7	the	the	DET
ap-1193	299	8	minimal	minimal	ADJ
ap-1193	299	9	orbit	orbit	NOUN
ap-1193	299	10	in	in	ADP
ap-1193	299	11	a	a	DET
ap-1193	299	12	simple	simple	ADJ
ap-1193	299	13	lie	lie	NOUN
ap-1193	299	14	algebra	algebra	NOUN
ap-1193	299	15	and	and	CCONJ
ap-1193	299	16	its	its	PRON
ap-1193	299	17	associated	associated	ADJ
ap-1193	299	18	maximal	maximal	ADJ
ap-1193	299	19	ideal	ideal	NOUN
ap-1193	299	20	,	,	PUNCT
ap-1193	299	21	ann	ann	PROPN
ap-1193	299	22	.	.	PUNCT
ap-1193	299	23	sci	sci	PROPN
ap-1193	299	24	.	.	PROPN
ap-1193	299	25	ecole	ecole	PROPN
ap-1193	299	26	normale	normale	PROPN
ap-1193	299	27	sup	sup	PROPN
ap-1193	299	28	.	.	PUNCT
ap-1193	300	1	série	série	PROPN
ap-1193	300	2	4	4	NUM
ap-1193	300	3	,	,	PUNCT
ap-1193	300	4	9	9	NUM
ap-1193	300	5	(	(	PUNCT
ap-1193	300	6	1976	1976	NUM
ap-1193	300	7	)	)	PUNCT
ap-1193	300	8	1–29	1–29	PROPN
ap-1193	300	9	.	.	PUNCT
ap-1193	301	1	[	[	X
ap-1193	301	2	20	20	NUM
ap-1193	301	3	]	]	X
ap-1193	301	4	kac	kac	PROPN
ap-1193	301	5	,	,	PUNCT
ap-1193	301	6	v.	v.	PROPN
ap-1193	301	7	g.	g.	PROPN
ap-1193	301	8	:	:	PUNCT
ap-1193	301	9	infinite	infinite	ADJ
ap-1193	301	10	dimensional	dimensional	ADJ
ap-1193	301	11	lie	lie	NOUN
ap-1193	301	12	algebras	algebra	NOUN
ap-1193	301	13	,	,	PUNCT
ap-1193	301	14	cambridge	cambridge	PROPN
ap-1193	301	15	univ	univ	PROPN
ap-1193	301	16	.	.	PUNCT
ap-1193	301	17	press	press	PROPN
ap-1193	301	18	.	.	PUNCT
ap-1193	301	19	,	,	PUNCT
ap-1193	301	20	cambridge	cambridge	PROPN
ap-1193	301	21	1990	1990	NUM
ap-1193	301	22	.	.	PUNCT
ap-1193	302	1	[	[	X
ap-1193	302	2	21	21	NUM
ap-1193	302	3	]	]	X
ap-1193	302	4	kac	kac	PROPN
ap-1193	302	5	,	,	PUNCT
ap-1193	302	6	v.	v.	ADP
ap-1193	302	7	:	:	PUNCT
ap-1193	302	8	vertex	vertex	NOUN
ap-1193	302	9	algebras	algebra	NOUN
ap-1193	302	10	for	for	ADP
ap-1193	302	11	beginners	beginner	NOUN
ap-1193	302	12	,	,	PUNCT
ap-1193	302	13	2nd	2nd	ADJ
ap-1193	302	14	ed	ed	NOUN
ap-1193	302	15	.	.	PROPN
ap-1193	302	16	,	,	PUNCT
ap-1193	302	17	ams	am	NOUN
ap-1193	302	18	,	,	PUNCT
ap-1193	302	19	providence	providence	NOUN
ap-1193	302	20	,	,	PUNCT
ap-1193	302	21	r.i	r.i	PROPN
ap-1193	302	22	.	.	PROPN
ap-1193	302	23	1998	1998	NUM
ap-1193	302	24	.	.	PUNCT
ap-1193	303	1	[	[	X
ap-1193	303	2	22	22	NUM
ap-1193	303	3	]	]	X
ap-1193	303	4	kac	kac	PROPN
ap-1193	303	5	,	,	PUNCT
ap-1193	303	6	v.	v.	ADV
ap-1193	303	7	,	,	PUNCT
ap-1193	303	8	radul	radul	NOUN
ap-1193	303	9	,	,	PUNCT
ap-1193	303	10	a.	a.	NOUN
ap-1193	303	11	:	:	PUNCT
ap-1193	303	12	representation	representation	NOUN
ap-1193	303	13	theory	theory	NOUN
ap-1193	303	14	of	of	ADP
ap-1193	303	15	the	the	DET
ap-1193	303	16	vertex	vertex	NOUN
ap-1193	303	17	algebra	algebra	PROPN
ap-1193	303	18	w1+∞	w1+∞	NUM
ap-1193	303	19	,	,	PUNCT
ap-1193	303	20	transform	transform	NOUN
ap-1193	303	21	.	.	PUNCT
ap-1193	304	1	groups	group	NOUN
ap-1193	304	2	1	1	NUM
ap-1193	304	3	(	(	PUNCT
ap-1193	304	4	1996	1996	NUM
ap-1193	304	5	)	)	PUNCT
ap-1193	304	6	41–70	41–70	NUM
ap-1193	304	7	.	.	PUNCT
ap-1193	305	1	[	[	X
ap-1193	305	2	23	23	NUM
ap-1193	305	3	]	]	X
ap-1193	305	4	kac	kac	PROPN
ap-1193	305	5	,	,	PUNCT
ap-1193	305	6	v.	v.	PROPN
ap-1193	305	7	g.	g.	PROPN
ap-1193	305	8	,	,	PUNCT
ap-1193	305	9	raina	raina	PROPN
ap-1193	305	10	,	,	PUNCT
ap-1193	305	11	a.	a.	PROPN
ap-1193	305	12	k.	k.	PROPN
ap-1193	305	13	:	:	PUNCT
ap-1193	305	14	highest	high	ADJ
ap-1193	305	15	weight	weight	NOUN
ap-1193	305	16	representations	representation	NOUN
ap-1193	305	17	of	of	ADP
ap-1193	305	18	infinite	infinite	ADJ
ap-1193	305	19	dimensional	dimensional	ADJ
ap-1193	305	20	lie	lie	NOUN
ap-1193	305	21	algebras	algebra	NOUN
ap-1193	305	22	,	,	PUNCT
ap-1193	305	23	adv	adv	PROPN
ap-1193	305	24	.	.	PUNCT
ap-1193	305	25	series	series	PROPN
ap-1193	305	26	in	in	ADP
ap-1193	305	27	math	math	NOUN
ap-1193	305	28	.	.	PUNCT
ap-1193	306	1	phys	phy	NOUN
ap-1193	306	2	.	.	PUNCT
ap-1193	307	1	2	2	NUM
ap-1193	307	2	,	,	PUNCT
ap-1193	307	3	world	world	NOUN
ap-1193	307	4	scientific	scientific	NOUN
ap-1193	307	5	,	,	PUNCT
ap-1193	307	6	singapore	singapore	PROPN
ap-1193	307	7	1987	1987	NUM
ap-1193	307	8	.	.	PUNCT
ap-1193	308	1	[	[	X
ap-1193	308	2	24	24	NUM
ap-1193	308	3	]	]	X
ap-1193	308	4	kashiwara	kashiwara	NOUN
ap-1193	308	5	,	,	PUNCT
ap-1193	308	6	m.	m.	NOUN
ap-1193	308	7	,	,	PUNCT
ap-1193	308	8	vergne	vergne	PROPN
ap-1193	308	9	,	,	PUNCT
ap-1193	308	10	m.	m.	NOUN
ap-1193	308	11	:	:	PUNCT
ap-1193	308	12	on	on	ADP
ap-1193	308	13	the	the	DET
ap-1193	308	14	segal	segal	NOUN
ap-1193	308	15	-	-	PUNCT
ap-1193	308	16	shaleweil	shaleweil	NOUN
ap-1193	308	17	representations	representation	NOUN
ap-1193	308	18	and	and	CCONJ
ap-1193	308	19	harmonic	harmonic	ADJ
ap-1193	308	20	polynomials	polynomial	NOUN
ap-1193	308	21	,	,	PUNCT
ap-1193	308	22	invent	invent	NOUN
ap-1193	308	23	.	.	PUNCT
ap-1193	309	1	math	math	NOUN
ap-1193	309	2	44	44	NUM
ap-1193	309	3	(	(	PUNCT
ap-1193	309	4	1978	1978	NUM
ap-1193	309	5	)	)	PUNCT
ap-1193	309	6	1–47	1–47	NOUN
ap-1193	309	7	.	.	PUNCT
ap-1193	310	1	[	[	X
ap-1193	310	2	25	25	NUM
ap-1193	310	3	]	]	X
ap-1193	310	4	kazhdan	kazhdan	PROPN
ap-1193	310	5	,	,	PUNCT
ap-1193	310	6	d.	d.	PROPN
ap-1193	310	7	,	,	PUNCT
ap-1193	310	8	pioline	pioline	PROPN
ap-1193	310	9	,	,	PUNCT
ap-1193	310	10	b.	b.	PROPN
ap-1193	310	11	,	,	PUNCT
ap-1193	310	12	wadron	wadron	PROPN
ap-1193	310	13	,	,	PUNCT
ap-1193	310	14	a.	a.	NOUN
ap-1193	310	15	:	:	PUNCT
ap-1193	310	16	minimal	minimal	ADJ
ap-1193	310	17	representations	representation	NOUN
ap-1193	310	18	,	,	PUNCT
ap-1193	310	19	spherical	spherical	ADJ
ap-1193	310	20	vectors	vector	NOUN
ap-1193	310	21	and	and	CCONJ
ap-1193	310	22	exceptional	exceptional	ADJ
ap-1193	310	23	theta	theta	NOUN
ap-1193	310	24	series	series	NOUN
ap-1193	310	25	,	,	PUNCT
ap-1193	310	26	commun	commun	PROPN
ap-1193	310	27	.	.	PUNCT
ap-1193	310	28	math	math	NOUN
ap-1193	310	29	.	.	PUNCT
ap-1193	311	1	phys	phy	NOUN
ap-1193	311	2	.	.	PUNCT
ap-1193	312	1	226	226	NUM
ap-1193	312	2	(	(	PUNCT
ap-1193	312	3	2002	2002	NUM
ap-1193	312	4	)	)	PUNCT
ap-1193	313	1	1–40	1–40	NUM
ap-1193	313	2	;	;	PUNCT
ap-1193	313	3	hep	hep	NOUN
ap-1193	313	4	-	-	PUNCT
ap-1193	313	5	th/0107222	th/0107222	NOUN
ap-1193	313	6	.	.	PUNCT
ap-1193	314	1	[	[	X
ap-1193	314	2	26	26	NUM
ap-1193	314	3	]	]	X
ap-1193	314	4	kobayashi	kobayashi	PROPN
ap-1193	314	5	,	,	PUNCT
ap-1193	314	6	t.	t.	PROPN
ap-1193	314	7	,	,	PUNCT
ap-1193	314	8	mano	mano	PROPN
ap-1193	314	9	,	,	PUNCT
ap-1193	314	10	g.	g.	PROPN
ap-1193	314	11	:	:	PUNCT
ap-1193	314	12	the	the	DET
ap-1193	314	13	schrödinger	schrödinger	NOUN
ap-1193	314	14	model	model	NOUN
ap-1193	314	15	,	,	PUNCT
ap-1193	314	16	for	for	ADP
ap-1193	314	17	the	the	DET
ap-1193	314	18	minimal	minimal	ADJ
ap-1193	314	19	representation	representation	NOUN
ap-1193	314	20	of	of	ADP
ap-1193	314	21	the	the	DET
ap-1193	314	22	indefinite	indefinite	ADJ
ap-1193	314	23	orthogonal	orthogonal	ADJ
ap-1193	314	24	group	group	NOUN
ap-1193	314	25	o(p	o(p	PROPN
ap-1193	314	26	,	,	PUNCT
ap-1193	314	27	q	q	NOUN
ap-1193	314	28	)	)	PUNCT
ap-1193	314	29	,	,	PUNCT
ap-1193	314	30	arxiv:0712.1769v2	arxiv:0712.1769v2	VERB
ap-1193	314	31	[	[	X
ap-1193	314	32	math.rt	math.rt	PROPN
ap-1193	314	33	]	]	PUNCT
ap-1193	314	34	,	,	PUNCT
ap-1193	314	35	july	july	PROPN
ap-1193	314	36	2008	2008	NUM
ap-1193	314	37	(	(	PUNCT
ap-1193	314	38	167	167	NUM
ap-1193	314	39	+	+	SYM
ap-1193	314	40	iv	iv	NUM
ap-1193	314	41	pp	pp	ADV
ap-1193	314	42	.	.	PUNCT
ap-1193	314	43	)	)	PUNCT
ap-1193	314	44	.	.	PUNCT
ap-1193	315	1	[	[	X
ap-1193	315	2	27	27	NUM
ap-1193	315	3	]	]	X
ap-1193	315	4	lang	lang	PROPN
ap-1193	315	5	,	,	PUNCT
ap-1193	315	6	s.	s.	PROPN
ap-1193	315	7	:	:	PUNCT
ap-1193	315	8	algebra	algebra	NOUN
ap-1193	315	9	,	,	PUNCT
ap-1193	315	10	third	third	ADJ
ap-1193	315	11	revised	revised	ADJ
ap-1193	315	12	editon	editon	NOUN
ap-1193	315	13	,	,	PUNCT
ap-1193	315	14	graduate	graduate	NOUN
ap-1193	315	15	texts	text	NOUN
ap-1193	315	16	in	in	ADP
ap-1193	315	17	mathmatics	mathmatics	NOUN
ap-1193	315	18	211	211	NUM
ap-1193	315	19	,	,	PUNCT
ap-1193	315	20	sprigner	sprigner	NOUN
ap-1193	315	21	,	,	PUNCT
ap-1193	315	22	n.y	n.y	PROPN
ap-1193	315	23	.	.	PROPN
ap-1193	315	24	2002	2002	NUM
ap-1193	315	25	.	.	PUNCT
ap-1193	316	1	[	[	X
ap-1193	316	2	28	28	NUM
ap-1193	316	3	]	]	X
ap-1193	316	4	lowenstein	lowenstein	PROPN
ap-1193	316	5	,	,	PUNCT
ap-1193	316	6	j.	j.	PROPN
ap-1193	316	7	h.	h.	PROPN
ap-1193	316	8	:	:	PUNCT
ap-1193	316	9	the	the	DET
ap-1193	316	10	existence	existence	NOUN
ap-1193	316	11	of	of	ADP
ap-1193	316	12	scalar	scalar	ADJ
ap-1193	316	13	lie	lie	NOUN
ap-1193	316	14	fields	field	NOUN
ap-1193	316	15	,	,	PUNCT
ap-1193	316	16	commun	commun	PROPN
ap-1193	316	17	.	.	PUNCT
ap-1193	316	18	math	math	NOUN
ap-1193	316	19	.	.	PUNCT
ap-1193	317	1	phys	phy	NOUN
ap-1193	317	2	.	.	PUNCT
ap-1193	318	1	6	6	NUM
ap-1193	318	2	(	(	PUNCT
ap-1193	318	3	1967	1967	NUM
ap-1193	318	4	)	)	PUNCT
ap-1193	318	5	49–60	49–60	NOUN
ap-1193	318	6	.	.	PUNCT
ap-1193	319	1	[	[	X
ap-1193	319	2	29	29	NUM
ap-1193	319	3	]	]	X
ap-1193	319	4	mack	mack	PROPN
ap-1193	319	5	,	,	PUNCT
ap-1193	319	6	g.	g.	PROPN
ap-1193	319	7	:	:	PUNCT
ap-1193	319	8	all	all	DET
ap-1193	319	9	unitary	unitary	ADJ
ap-1193	319	10	representations	representation	NOUN
ap-1193	319	11	of	of	ADP
ap-1193	319	12	the	the	DET
ap-1193	319	13	conformal	conformal	ADJ
ap-1193	319	14	group	group	NOUN
ap-1193	319	15	su(2	su(2	PROPN
ap-1193	319	16	,	,	PUNCT
ap-1193	319	17	2	2	NUM
ap-1193	319	18	)	)	PUNCT
ap-1193	319	19	with	with	ADP
ap-1193	319	20	positive	positive	ADJ
ap-1193	319	21	energy	energy	NOUN
ap-1193	319	22	,	,	PUNCT
ap-1193	319	23	commun	commun	PROPN
ap-1193	319	24	.	.	PUNCT
ap-1193	319	25	math	math	NOUN
ap-1193	319	26	.	.	PUNCT
ap-1193	320	1	phys	phy	NOUN
ap-1193	320	2	.	.	PUNCT
ap-1193	321	1	55	55	NUM
ap-1193	321	2	(	(	PUNCT
ap-1193	321	3	1977	1977	NUM
ap-1193	321	4	)	)	PUNCT
ap-1193	321	5	1–28	1–28	NOUN
ap-1193	321	6	.	.	PUNCT
ap-1193	322	1	[	[	X
ap-1193	322	2	30	30	NUM
ap-1193	322	3	]	]	X
ap-1193	322	4	mack	mack	PROPN
ap-1193	322	5	,	,	PUNCT
ap-1193	322	6	g.	g.	PROPN
ap-1193	322	7	,	,	PUNCT
ap-1193	322	8	de	de	X
ap-1193	322	9	riese	riese	NOUN
ap-1193	322	10	,	,	PUNCT
ap-1193	322	11	m.	m.	NOUN
ap-1193	322	12	:	:	PUNCT
ap-1193	322	13	simple	simple	ADJ
ap-1193	322	14	symmetries	symmetry	NOUN
ap-1193	322	15	:	:	PUNCT
ap-1193	322	16	generalizing	generalize	VERB
ap-1193	322	17	conformal	conformal	ADJ
ap-1193	322	18	field	field	NOUN
ap-1193	322	19	theory	theory	NOUN
ap-1193	322	20	,	,	PUNCT
ap-1193	322	21	j.	j.	PROPN
ap-1193	322	22	math	math	PROPN
ap-1193	322	23	.	.	PUNCT
ap-1193	323	1	phys	phy	NOUN
ap-1193	323	2	.	.	PUNCT
ap-1193	324	1	48	48	NUM
ap-1193	324	2	(	(	PUNCT
ap-1193	324	3	2007	2007	NUM
ap-1193	324	4	)	)	PUNCT
ap-1193	324	5	052304	052304	NUM
ap-1193	324	6	-	-	SYM
ap-1193	324	7	1	1	NUM
ap-1193	324	8	-	-	SYM
ap-1193	324	9	21	21	NUM
ap-1193	324	10	;	;	PUNCT
ap-1193	324	11	hep	hep	NOUN
ap-1193	324	12	-	-	NOUN
ap-1193	324	13	th/0410277	th/0410277	NOUN
ap-1193	324	14	.	.	PUNCT
ap-1193	325	1	[	[	X
ap-1193	325	2	31	31	NUM
ap-1193	325	3	]	]	X
ap-1193	325	4	mack	mack	PROPN
ap-1193	325	5	,	,	PUNCT
ap-1193	325	6	g.	g.	PROPN
ap-1193	325	7	,	,	PUNCT
ap-1193	325	8	todorov	todorov	PROPN
ap-1193	325	9	,	,	PUNCT
ap-1193	325	10	i.	i.	NOUN
ap-1193	325	11	:	:	PUNCT
ap-1193	325	12	irreducibility	irreducibility	NOUN
ap-1193	325	13	of	of	ADP
ap-1193	325	14	the	the	DET
ap-1193	325	15	ladder	ladder	NOUN
ap-1193	325	16	representations	representation	NOUN
ap-1193	325	17	of	of	ADP
ap-1193	325	18	u(2,2	u(2,2	NOUN
ap-1193	325	19	)	)	PUNCT
ap-1193	325	20	when	when	SCONJ
ap-1193	325	21	restricted	restrict	VERB
ap-1193	325	22	to	to	ADP
ap-1193	325	23	the	the	DET
ap-1193	325	24	poincaré	poincaré	ADJ
ap-1193	325	25	subgroup	subgroup	NOUN
ap-1193	325	26	,	,	PUNCT
ap-1193	325	27	j.	j.	PROPN
ap-1193	325	28	math	math	PROPN
ap-1193	325	29	.	.	PUNCT
ap-1193	326	1	phys	phy	NOUN
ap-1193	326	2	.	.	PUNCT
ap-1193	327	1	10	10	NUM
ap-1193	327	2	(	(	PUNCT
ap-1193	327	3	1969	1969	NUM
ap-1193	327	4	)	)	PUNCT
ap-1193	327	5	2	2	NUM
ap-1193	327	6	078–2	078–2	NUM
ap-1193	327	7	085	085	NUM
ap-1193	327	8	.	.	PUNCT
ap-1193	328	1	[	[	X
ap-1193	328	2	32	32	NUM
ap-1193	328	3	]	]	X
ap-1193	328	4	nikolov	nikolov	X
ap-1193	328	5	,	,	PUNCT
ap-1193	328	6	n.	n.	NOUN
ap-1193	328	7	m.	m.	NOUN
ap-1193	328	8	,	,	PUNCT
ap-1193	328	9	todorov	todorov	PROPN
ap-1193	328	10	,	,	PUNCT
ap-1193	328	11	i.	i.	PROPN
ap-1193	328	12	t.	t.	PROPN
ap-1193	328	13	:	:	PUNCT
ap-1193	328	14	rationality	rationality	NOUN
ap-1193	328	15	of	of	ADP
ap-1193	328	16	conformally	conformally	ADV
ap-1193	328	17	invariant	invariant	ADJ
ap-1193	328	18	local	local	ADJ
ap-1193	328	19	correlation	correlation	NOUN
ap-1193	328	20	functions	function	NOUN
ap-1193	328	21	on	on	ADP
ap-1193	328	22	compactified	compactified	ADJ
ap-1193	328	23	minkowski	minkowski	ADJ
ap-1193	328	24	space	space	NOUN
ap-1193	328	25	,	,	PUNCT
ap-1193	328	26	commun	commun	PROPN
ap-1193	328	27	.	.	PUNCT
ap-1193	328	28	math	math	NOUN
ap-1193	328	29	.	.	PUNCT
ap-1193	329	1	phys	phy	NOUN
ap-1193	329	2	.	.	PUNCT
ap-1193	330	1	218	218	NUM
ap-1193	330	2	(	(	PUNCT
ap-1193	330	3	2001	2001	NUM
ap-1193	330	4	)	)	PUNCT
ap-1193	330	5	417–436	417–436	NUM
ap-1193	330	6	;	;	PUNCT
ap-1193	330	7	hep	hep	NOUN
ap-1193	330	8	-	-	NOUN
ap-1193	330	9	th/0009004	th/0009004	NOUN
ap-1193	330	10	.	.	PUNCT
ap-1193	331	1	[	[	X
ap-1193	331	2	33	33	NUM
ap-1193	331	3	]	]	X
ap-1193	331	4	nikolov	nikolov	PROPN
ap-1193	331	5	,	,	PUNCT
ap-1193	331	6	n.	n.	NOUN
ap-1193	331	7	m.	m.	NOUN
ap-1193	331	8	,	,	PUNCT
ap-1193	331	9	stanev	stanev	PROPN
ap-1193	331	10	,	,	PUNCT
ap-1193	331	11	ya	ya	PROPN
ap-1193	331	12	.	.	PUNCT
ap-1193	331	13	s.	s.	PROPN
ap-1193	331	14	,	,	PUNCT
ap-1193	331	15	todorov	todorov	PROPN
ap-1193	331	16	,	,	PUNCT
ap-1193	331	17	i.	i.	PROPN
ap-1193	331	18	t.	t.	PROPN
ap-1193	331	19	:	:	PUNCT
ap-1193	331	20	four	four	NUM
ap-1193	331	21	dimensional	dimensional	ADJ
ap-1193	331	22	cft	cft	NOUN
ap-1193	331	23	models	model	NOUN
ap-1193	331	24	with	with	ADP
ap-1193	331	25	rational	rational	ADJ
ap-1193	331	26	correlation	correlation	NOUN
ap-1193	331	27	functions	function	NOUN
ap-1193	331	28	,	,	PUNCT
ap-1193	331	29	j.	j.	PROPN
ap-1193	331	30	phys	phys	PROPN
ap-1193	331	31	.	.	PUNCT
ap-1193	332	1	a	a	DET
ap-1193	332	2	35	35	NUM
ap-1193	332	3	(	(	PUNCT
ap-1193	332	4	2002	2002	NUM
ap-1193	332	5	)	)	PUNCT
ap-1193	332	6	2	2	NUM
ap-1193	332	7	985–3	985–3	NOUN
ap-1193	332	8	007	007	NUM
ap-1193	332	9	;	;	PUNCT
ap-1193	332	10	hep	hep	NOUN
ap-1193	332	11	-	-	PUNCT
ap-1193	332	12	th/0110230	th/0110230	NOUN
ap-1193	332	13	.	.	PUNCT
ap-1193	333	1	[	[	X
ap-1193	333	2	34	34	NUM
ap-1193	333	3	]	]	X
ap-1193	333	4	nikolov	nikolov	PROPN
ap-1193	333	5	,	,	PUNCT
ap-1193	333	6	n.	n.	NOUN
ap-1193	333	7	m.	m.	NOUN
ap-1193	333	8	,	,	PUNCT
ap-1193	333	9	stanev	stanev	PROPN
ap-1193	333	10	,	,	PUNCT
ap-1193	333	11	ya	ya	PROPN
ap-1193	333	12	.	.	PUNCT
ap-1193	333	13	s.	s.	PROPN
ap-1193	333	14	,	,	PUNCT
ap-1193	333	15	todorov	todorov	PROPN
ap-1193	333	16	,	,	PUNCT
ap-1193	333	17	i.	i.	PROPN
ap-1193	333	18	t.	t.	PROPN
ap-1193	333	19	:	:	PUNCT
ap-1193	333	20	globally	globally	ADV
ap-1193	333	21	conformal	conformal	ADJ
ap-1193	333	22	invariant	invariant	ADJ
ap-1193	333	23	gauge	gauge	NOUN
ap-1193	333	24	field	field	NOUN
ap-1193	333	25	theory	theory	NOUN
ap-1193	333	26	with	with	ADP
ap-1193	333	27	rational	rational	ADJ
ap-1193	333	28	correlation	correlation	NOUN
ap-1193	333	29	functions	function	NOUN
ap-1193	333	30	,	,	PUNCT
ap-1193	333	31	nucl	nucl	PROPN
ap-1193	333	32	.	.	PUNCT
ap-1193	334	1	phys	phy	NOUN
ap-1193	334	2	.	.	PUNCT
ap-1193	335	1	b670	b670	PROPN
ap-1193	335	2	(	(	PUNCT
ap-1193	335	3	2003	2003	NUM
ap-1193	335	4	)	)	PUNCT
ap-1193	336	1	373–400	373–400	NUM
ap-1193	336	2	;	;	PUNCT
ap-1193	336	3	hep	hep	PROPN
ap-1193	336	4	-	-	PROPN
ap-1193	336	5	th/0305200	th/0305200	PROPN
ap-1193	336	6	.	.	PROPN
ap-1193	336	7	60	60	NUM
ap-1193	336	8	acta	acta	PROPN
ap-1193	336	9	polytechnica	polytechnica	PROPN
ap-1193	336	10	vol	vol	NOUN
ap-1193	336	11	.	.	PROPN
ap-1193	337	1	50	50	NUM
ap-1193	337	2	no	no	NOUN
ap-1193	337	3	.	.	PUNCT
ap-1193	338	1	3/2010	3/2010	NUM
ap-1193	338	2	[	[	NOUN
ap-1193	338	3	35	35	NUM
ap-1193	338	4	]	]	X
ap-1193	338	5	nikolov	nikolov	NOUN
ap-1193	338	6	,	,	PUNCT
ap-1193	338	7	n.	n.	NOUN
ap-1193	338	8	m.	m.	NOUN
ap-1193	338	9	,	,	PUNCT
ap-1193	338	10	rehren	rehren	PROPN
ap-1193	338	11	,	,	PUNCT
ap-1193	338	12	k.-h	k.-h	PROPN
ap-1193	338	13	.	.	PUNCT
ap-1193	338	14	,	,	PUNCT
ap-1193	338	15	todorov	todorov	PROPN
ap-1193	338	16	,	,	PUNCT
ap-1193	338	17	i.	i.	PROPN
ap-1193	338	18	t.	t.	PROPN
ap-1193	338	19	:	:	PUNCT
ap-1193	338	20	partial	partial	ADJ
ap-1193	338	21	wave	wave	NOUN
ap-1193	338	22	expansion	expansion	NOUN
ap-1193	338	23	and	and	CCONJ
ap-1193	338	24	wightman	wightman	NOUN
ap-1193	338	25	positivity	positivity	NOUN
ap-1193	338	26	in	in	ADP
ap-1193	338	27	conformal	conformal	ADJ
ap-1193	338	28	field	field	NOUN
ap-1193	338	29	theory	theory	NOUN
ap-1193	338	30	,	,	PUNCT
ap-1193	338	31	nucl	nucl	PROPN
ap-1193	338	32	.	.	PUNCT
ap-1193	339	1	phys	phy	NOUN
ap-1193	339	2	.	.	PUNCT
ap-1193	340	1	b722	b722	NUM
ap-1193	340	2	(	(	PUNCT
ap-1193	340	3	2005	2005	NUM
ap-1193	340	4	)	)	PUNCT
ap-1193	341	1	266–296	266–296	NUM
ap-1193	341	2	;	;	PUNCT
ap-1193	341	3	hep	hep	NOUN
ap-1193	341	4	-	-	PUNCT
ap-1193	341	5	th/0504146	th/0504146	NOUN
ap-1193	341	6	.	.	PUNCT
ap-1193	342	1	[	[	X
ap-1193	342	2	36	36	NUM
ap-1193	342	3	]	]	X
ap-1193	342	4	nikolov	nikolov	X
ap-1193	342	5	,	,	PUNCT
ap-1193	342	6	n.	n.	NOUN
ap-1193	342	7	m.	m.	NOUN
ap-1193	342	8	,	,	PUNCT
ap-1193	342	9	rehren	rehren	PROPN
ap-1193	342	10	,	,	PUNCT
ap-1193	342	11	k.-h	k.-h	PROPN
ap-1193	342	12	.	.	PUNCT
ap-1193	342	13	,	,	PUNCT
ap-1193	342	14	todorov	todorov	PROPN
ap-1193	342	15	,	,	PUNCT
ap-1193	342	16	i.	i.	PROPN
ap-1193	342	17	:	:	PUNCT
ap-1193	342	18	harmonic	harmonic	VERB
ap-1193	342	19	bilocal	bilocal	ADJ
ap-1193	342	20	fields	field	NOUN
ap-1193	342	21	generated	generate	VERB
ap-1193	342	22	by	by	ADP
ap-1193	342	23	globally	globally	ADV
ap-1193	342	24	conformal	conformal	ADJ
ap-1193	342	25	invariant	invariant	ADJ
ap-1193	342	26	scalar	scalar	ADJ
ap-1193	342	27	fields	field	NOUN
ap-1193	342	28	,	,	PUNCT
ap-1193	342	29	commun	commun	PROPN
ap-1193	342	30	.	.	PUNCT
ap-1193	342	31	math	math	NOUN
ap-1193	342	32	.	.	PUNCT
ap-1193	343	1	phys	phy	NOUN
ap-1193	343	2	.	.	PUNCT
ap-1193	344	1	279	279	NUM
ap-1193	344	2	(	(	PUNCT
ap-1193	344	3	2008	2008	NUM
ap-1193	344	4	)	)	PUNCT
ap-1193	345	1	225–250	225–250	NUM
ap-1193	345	2	;	;	PUNCT
ap-1193	345	3	arxiv:0711.0628	arxiv:0711.0628	PRON
ap-1193	346	1	[	[	PUNCT
ap-1193	346	2	hep	hep	NOUN
ap-1193	346	3	-	-	PUNCT
ap-1193	346	4	th	th	X
ap-1193	346	5	]	]	PUNCT
ap-1193	346	6	.	.	PUNCT
ap-1193	347	1	[	[	X
ap-1193	347	2	37	37	NUM
ap-1193	347	3	]	]	X
ap-1193	347	4	nikolov	nikolov	NOUN
ap-1193	347	5	,	,	PUNCT
ap-1193	347	6	n.	n.	NOUN
ap-1193	347	7	m.	m.	NOUN
ap-1193	347	8	:	:	PUNCT
ap-1193	347	9	vertex	vertex	NOUN
ap-1193	347	10	algebras	algebra	NOUN
ap-1193	347	11	in	in	ADP
ap-1193	347	12	higher	high	ADJ
ap-1193	347	13	dimensions	dimension	NOUN
ap-1193	347	14	and	and	CCONJ
ap-1193	347	15	globally	globally	ADV
ap-1193	347	16	conformal	conformal	ADJ
ap-1193	347	17	invariant	invariant	ADJ
ap-1193	347	18	quantum	quantum	ADJ
ap-1193	347	19	field	field	NOUN
ap-1193	347	20	theory	theory	NOUN
ap-1193	347	21	,	,	PUNCT
ap-1193	347	22	commun	commun	PROPN
ap-1193	347	23	.	.	PUNCT
ap-1193	347	24	math	math	NOUN
ap-1193	347	25	.	.	PUNCT
ap-1193	348	1	phys	phy	NOUN
ap-1193	348	2	.	.	PUNCT
ap-1193	349	1	253	253	NUM
ap-1193	349	2	(	(	PUNCT
ap-1193	349	3	2005	2005	NUM
ap-1193	349	4	)	)	PUNCT
ap-1193	349	5	283–322	283–322	NUM
ap-1193	349	6	;	;	PUNCT
ap-1193	349	7	hep	hep	NOUN
ap-1193	349	8	-	-	SYM
ap-1193	349	9	th/0307235	th/0307235	ADJ
ap-1193	349	10	.	.	PUNCT
ap-1193	350	1	[	[	X
ap-1193	350	2	38	38	NUM
ap-1193	350	3	]	]	X
ap-1193	350	4	nikolov	nikolov	NOUN
ap-1193	350	5	,	,	PUNCT
ap-1193	350	6	n.	n.	NOUN
ap-1193	350	7	m.	m.	NOUN
ap-1193	350	8	,	,	PUNCT
ap-1193	350	9	todorov	todorov	PROPN
ap-1193	350	10	,	,	PUNCT
ap-1193	350	11	i.	i.	PROPN
ap-1193	350	12	t.	t.	PROPN
ap-1193	350	13	:	:	PUNCT
ap-1193	350	14	elliptic	elliptic	ADJ
ap-1193	350	15	thermal	thermal	ADJ
ap-1193	350	16	correlation	correlation	NOUN
ap-1193	350	17	functions	function	NOUN
ap-1193	350	18	and	and	CCONJ
ap-1193	350	19	modular	modular	ADJ
ap-1193	350	20	forms	form	NOUN
ap-1193	350	21	in	in	ADP
ap-1193	350	22	a	a	DET
ap-1193	350	23	globally	globally	ADV
ap-1193	350	24	conformal	conformal	ADJ
ap-1193	350	25	invariant	invariant	ADJ
ap-1193	350	26	qft	qft	PROPN
ap-1193	350	27	,	,	PUNCT
ap-1193	350	28	rev	rev	PROPN
ap-1193	350	29	.	.	PROPN
ap-1193	350	30	math	math	NOUN
ap-1193	350	31	.	.	PUNCT
ap-1193	351	1	phys	phy	NOUN
ap-1193	351	2	.	.	PUNCT
ap-1193	352	1	17	17	NUM
ap-1193	352	2	(	(	PUNCT
ap-1193	352	3	2005	2005	NUM
ap-1193	352	4	)	)	PUNCT
ap-1193	353	1	613–667	613–667	NUM
ap-1193	353	2	;	;	PUNCT
ap-1193	353	3	hep	hep	NOUN
ap-1193	353	4	-	-	PROPN
ap-1193	353	5	th/0403191	th/0403191	NOUN
ap-1193	353	6	.	.	PUNCT
ap-1193	354	1	[	[	X
ap-1193	354	2	39	39	NUM
ap-1193	354	3	]	]	X
ap-1193	354	4	robinson	robinson	PROPN
ap-1193	354	5	,	,	PUNCT
ap-1193	354	6	d.	d.	PROPN
ap-1193	354	7	w.	w.	PROPN
ap-1193	354	8	:	:	PUNCT
ap-1193	354	9	on	on	ADP
ap-1193	354	10	a	a	DET
ap-1193	354	11	soluble	soluble	ADJ
ap-1193	354	12	model	model	NOUN
ap-1193	354	13	of	of	ADP
ap-1193	354	14	relativistic	relativistic	ADJ
ap-1193	354	15	field	field	NOUN
ap-1193	354	16	theory	theory	NOUN
ap-1193	354	17	,	,	PUNCT
ap-1193	354	18	physics	physics	NOUN
ap-1193	354	19	lett	lett	PROPN
ap-1193	354	20	.	.	PROPN
ap-1193	355	1	9	9	NUM
ap-1193	355	2	(	(	PUNCT
ap-1193	355	3	1964	1964	NUM
ap-1193	355	4	)	)	PUNCT
ap-1193	355	5	189–190	189–190	NUM
ap-1193	355	6	.	.	PUNCT
ap-1193	356	1	[	[	X
ap-1193	356	2	40	40	NUM
ap-1193	356	3	]	]	PUNCT
ap-1193	356	4	schmidt	schmidt	NOUN
ap-1193	356	5	,	,	PUNCT
ap-1193	356	6	m.	m.	NOUN
ap-1193	356	7	u.	u.	PROPN
ap-1193	356	8	:	:	PUNCT
ap-1193	356	9	lowest	low	ADJ
ap-1193	356	10	weight	weight	NOUN
ap-1193	356	11	representations	representation	NOUN
ap-1193	356	12	of	of	ADP
ap-1193	356	13	some	some	DET
ap-1193	356	14	infinite	infinite	ADJ
ap-1193	356	15	dimensional	dimensional	ADJ
ap-1193	356	16	groups	group	NOUN
ap-1193	356	17	on	on	ADP
ap-1193	356	18	fock	fock	ADJ
ap-1193	356	19	spaces	space	NOUN
ap-1193	356	20	,	,	PUNCT
ap-1193	356	21	acta	acta	PROPN
ap-1193	356	22	appl	appl	PROPN
ap-1193	356	23	.	.	PROPN
ap-1193	356	24	math	math	PROPN
ap-1193	356	25	.	.	PUNCT
ap-1193	357	1	18	18	NUM
ap-1193	357	2	(	(	PUNCT
ap-1193	357	3	1990	1990	NUM
ap-1193	357	4	)	)	PUNCT
ap-1193	357	5	59–84	59–84	NOUN
ap-1193	357	6	.	.	PUNCT
ap-1193	358	1	[	[	X
ap-1193	358	2	41	41	NUM
ap-1193	358	3	]	]	SYM
ap-1193	358	4	streater	streater	NOUN
ap-1193	358	5	,	,	PUNCT
ap-1193	358	6	r.	r.	PROPN
ap-1193	358	7	f.	f.	PROPN
ap-1193	358	8	,	,	PUNCT
ap-1193	358	9	wightman	wightman	PROPN
ap-1193	358	10	,	,	PUNCT
ap-1193	358	11	a.	a.	PROPN
ap-1193	358	12	s.	s.	PROPN
ap-1193	358	13	:	:	PUNCT
ap-1193	358	14	pct	pct	NOUN
ap-1193	358	15	,	,	PUNCT
ap-1193	358	16	spin	spin	NOUN
ap-1193	358	17	and	and	CCONJ
ap-1193	358	18	statistics	statistic	NOUN
ap-1193	358	19	,	,	PUNCT
ap-1193	358	20	and	and	CCONJ
ap-1193	358	21	all	all	DET
ap-1193	358	22	that	that	PRON
ap-1193	358	23	,	,	PUNCT
ap-1193	358	24	w.	w.	PROPN
ap-1193	358	25	a.	a.	PROPN
ap-1193	358	26	benjamin	benjamin	PROPN
ap-1193	358	27	,	,	PUNCT
ap-1193	358	28	reading	read	VERB
ap-1193	358	29	1964	1964	NUM
ap-1193	358	30	;	;	PUNCT
ap-1193	358	31	princeton	princeton	PROPN
ap-1193	358	32	university	university	PROPN
ap-1193	358	33	press	press	NOUN
ap-1193	358	34	,	,	PUNCT
ap-1193	358	35	princeton	princeton	PROPN
ap-1193	358	36	2000	2000	NUM
ap-1193	358	37	.	.	PUNCT
ap-1193	359	1	[	[	X
ap-1193	359	2	42	42	NUM
ap-1193	359	3	]	]	X
ap-1193	359	4	todorov	todorov	PROPN
ap-1193	359	5	,	,	PUNCT
ap-1193	359	6	i.	i.	PROPN
ap-1193	359	7	t.	t.	PROPN
ap-1193	359	8	:	:	PUNCT
ap-1193	359	9	infinite	infinite	ADJ
ap-1193	359	10	-	-	PUNCT
ap-1193	359	11	dimensional	dimensional	ADJ
ap-1193	359	12	lie	lie	NOUN
ap-1193	359	13	algebras	algebra	NOUN
ap-1193	359	14	in	in	ADP
ap-1193	359	15	conformal	conformal	ADJ
ap-1193	359	16	qft	qft	NOUN
ap-1193	359	17	models	model	NOUN
ap-1193	359	18	,	,	PUNCT
ap-1193	359	19	in	in	ADP
ap-1193	359	20	:	:	PUNCT
ap-1193	359	21	a.o	a.o	PROPN
ap-1193	359	22	.	.	PROPN
ap-1193	359	23	barut	barut	PROPN
ap-1193	359	24	,	,	PUNCT
ap-1193	359	25	h.d	h.d	PROPN
ap-1193	359	26	.	.	PROPN
ap-1193	359	27	doebner	doebner	PROPN
ap-1193	359	28	(	(	PUNCT
ap-1193	359	29	eds	ed	NOUN
ap-1193	359	30	.	.	PUNCT
ap-1193	359	31	)	)	PUNCT
ap-1193	359	32	,	,	PUNCT
ap-1193	359	33	conformal	conformal	NOUN
ap-1193	359	34	groups	group	NOUN
ap-1193	359	35	and	and	CCONJ
ap-1193	359	36	related	related	ADJ
ap-1193	359	37	symmetries	symmetry	NOUN
ap-1193	359	38	.	.	PUNCT
ap-1193	360	1	physical	physical	ADJ
ap-1193	360	2	results	result	NOUN
ap-1193	360	3	and	and	CCONJ
ap-1193	360	4	mathematical	mathematical	ADJ
ap-1193	360	5	background	background	NOUN
ap-1193	360	6	,	,	PUNCT
ap-1193	360	7	pp	pp	ADJ
ap-1193	360	8	.	.	PUNCT
ap-1193	361	1	387–443	387–443	NUM
ap-1193	361	2	,	,	PUNCT
ap-1193	361	3	lecture	lecture	NOUN
ap-1193	361	4	notes	note	NOUN
ap-1193	361	5	in	in	ADP
ap-1193	361	6	physics	physics	NOUN
ap-1193	361	7	261	261	NUM
ap-1193	361	8	,	,	PUNCT
ap-1193	361	9	springer	springer	NOUN
ap-1193	361	10	,	,	PUNCT
ap-1193	361	11	berlin	berlin	PROPN
ap-1193	361	12	1986	1986	NUM
ap-1193	361	13	.	.	PUNCT
ap-1193	362	1	[	[	X
ap-1193	362	2	43	43	NUM
ap-1193	362	3	]	]	X
ap-1193	362	4	uhlmann	uhlmann	PROPN
ap-1193	362	5	,	,	PUNCT
ap-1193	362	6	a.	a.	NOUN
ap-1193	362	7	:	:	PUNCT
ap-1193	362	8	the	the	DET
ap-1193	362	9	closure	closure	NOUN
ap-1193	362	10	of	of	ADP
ap-1193	362	11	minkowski	minkowski	ADJ
ap-1193	362	12	space	space	NOUN
ap-1193	362	13	,	,	PUNCT
ap-1193	362	14	acta	acta	PROPN
ap-1193	362	15	phys	phys	PROPN
ap-1193	362	16	.	.	PUNCT
ap-1193	363	1	pol	pol	PROPN
ap-1193	363	2	.	.	PUNCT
ap-1193	364	1	24	24	NUM
ap-1193	364	2	(	(	PUNCT
ap-1193	364	3	1963	1963	NUM
ap-1193	364	4	)	)	PUNCT
ap-1193	364	5	295–296	295–296	NUM
ap-1193	364	6	.	.	PUNCT
ap-1193	365	1	[	[	X
ap-1193	365	2	44	44	NUM
ap-1193	365	3	]	]	SYM
ap-1193	365	4	weil	weil	PROPN
ap-1193	365	5	,	,	PUNCT
ap-1193	365	6	a.	a.	NOUN
ap-1193	365	7	:	:	PUNCT
ap-1193	365	8	sur	sur	PROPN
ap-1193	365	9	certains	certains	X
ap-1193	365	10	groupes	groupe	NOUN
ap-1193	365	11	d’opérateurs	d’opérateur	VERB
ap-1193	365	12	unitaires	unitaire	NOUN
ap-1193	365	13	,	,	PUNCT
ap-1193	365	14	acta	acta	PROPN
ap-1193	365	15	math	math	PROPN
ap-1193	365	16	.	.	PUNCT
ap-1193	366	1	111	111	NUM
ap-1193	366	2	(	(	PUNCT
ap-1193	366	3	1964	1964	NUM
ap-1193	366	4	)	)	PUNCT
ap-1193	366	5	143–211	143–211	NUM
ap-1193	366	6	;	;	PUNCT
ap-1193	366	7	sur	sur	PROPN
ap-1193	366	8	la	la	PROPN
ap-1193	366	9	formule	formule	PROPN
ap-1193	366	10	de	de	PROPN
ap-1193	366	11	siegel	siegel	PROPN
ap-1193	366	12	dans	dans	PROPN
ap-1193	366	13	la	la	PROPN
ap-1193	366	14	théorie	théorie	PROPN
ap-1193	366	15	des	des	X
ap-1193	366	16	groupes	groupes	X
ap-1193	366	17	classiques	classique	NOUN
ap-1193	366	18	,	,	PUNCT
ap-1193	366	19	ibid	ibid	NOUN
ap-1193	366	20	bf	bf	NOUN
ap-1193	366	21	113	113	NUM
ap-1193	366	22	(	(	PUNCT
ap-1193	366	23	1965	1965	NUM
ap-1193	366	24	)	)	PUNCT
ap-1193	366	25	1–87	1–87	NOUN
ap-1193	366	26	.	.	PUNCT
ap-1193	367	1	[	[	X
ap-1193	367	2	45	45	NUM
ap-1193	367	3	]	]	PUNCT
ap-1193	367	4	wick	wick	NOUN
ap-1193	367	5	,	,	PUNCT
ap-1193	367	6	g.	g.	PROPN
ap-1193	367	7	c.	c.	PROPN
ap-1193	367	8	,	,	PUNCT
ap-1193	367	9	wightman	wightman	PROPN
ap-1193	367	10	,	,	PUNCT
ap-1193	367	11	a.	a.	PROPN
ap-1193	367	12	s.	s.	PROPN
ap-1193	367	13	,	,	PUNCT
ap-1193	367	14	wigner	wigner	NOUN
ap-1193	367	15	,	,	PUNCT
ap-1193	367	16	e.	e.	PROPN
ap-1193	367	17	p.	p.	PROPN
ap-1193	367	18	:	:	PUNCT
ap-1193	367	19	the	the	DET
ap-1193	367	20	intrinsic	intrinsic	ADJ
ap-1193	367	21	parity	parity	NOUN
ap-1193	367	22	of	of	ADP
ap-1193	367	23	elementary	elementary	ADJ
ap-1193	367	24	particles	particle	NOUN
ap-1193	367	25	,	,	PUNCT
ap-1193	367	26	phys	phy	NOUN
ap-1193	367	27	.	.	PUNCT
ap-1193	368	1	rev	rev	PROPN
ap-1193	368	2	.	.	PROPN
ap-1193	368	3	88	88	NUM
ap-1193	368	4	(	(	PUNCT
ap-1193	368	5	1952	1952	NUM
ap-1193	368	6	)	)	PUNCT
ap-1193	368	7	101–105	101–105	NUM
ap-1193	368	8	.	.	PUNCT
ap-1193	369	1	[	[	X
ap-1193	369	2	46	46	NUM
ap-1193	369	3	]	]	X
ap-1193	369	4	zhu	zhu	PROPN
ap-1193	369	5	,	,	PUNCT
ap-1193	369	6	y.	y.	NOUN
ap-1193	369	7	:	:	PUNCT
ap-1193	369	8	modular	modular	ADJ
ap-1193	369	9	invariance	invariance	NOUN
ap-1193	369	10	of	of	ADP
ap-1193	369	11	characters	character	NOUN
ap-1193	369	12	of	of	ADP
ap-1193	369	13	vertex	vertex	NOUN
ap-1193	369	14	operator	operator	NOUN
ap-1193	369	15	algebras	algebra	NOUN
ap-1193	369	16	,	,	PUNCT
ap-1193	369	17	j.	j.	PROPN
ap-1193	369	18	amer	amer	PROPN
ap-1193	369	19	.	.	PROPN
ap-1193	369	20	math	math	PROPN
ap-1193	369	21	.	.	PUNCT
ap-1193	369	22	soc	soc	PROPN
ap-1193	369	23	.	.	PUNCT
ap-1193	370	1	9:1	9:1	NUM
ap-1193	370	2	(	(	PUNCT
ap-1193	370	3	1996	1996	NUM
ap-1193	370	4	)	)	PUNCT
ap-1193	371	1	237–302	237–302	NUM
ap-1193	371	2	.	.	PUNCT
ap-1193	372	1	ivan	ivan	PROPN
ap-1193	372	2	todorov	todorov	PROPN
ap-1193	372	3	e	e	PROPN
ap-1193	372	4	-	-	NOUN
ap-1193	372	5	mail	mail	NOUN
ap-1193	372	6	:	:	PUNCT
ap-1193	372	7	todorov@inrne.bas.bg	todorov@inrne.bas.bg	NOUN
ap-1193	372	8	institute	institute	NOUN
ap-1193	372	9	for	for	ADP
ap-1193	372	10	nuclear	nuclear	ADJ
ap-1193	372	11	research	research	NOUN
ap-1193	372	12	and	and	CCONJ
ap-1193	372	13	nuclear	nuclear	ADJ
ap-1193	372	14	energy	energy	NOUN
ap-1193	372	15	,	,	PUNCT
ap-1193	372	16	tsarigradsko	tsarigradsko	ADV
ap-1193	372	17	chaussee	chaussee	VERB
ap-1193	372	18	72	72	NUM
ap-1193	372	19	bg-1784	bg-1784	PROPN
ap-1193	372	20	sofia	sofia	PROPN
ap-1193	372	21	,	,	PUNCT
ap-1193	372	22	bulgaria	bulgaria	PROPN
ap-1193	372	23	61	61	NUM