id	sid	tid	token	lemma	pos
ap-1183	1	1	ap-3-10.dvi	ap-3-10.dvi	PROPN
ap-1183	1	2	acta	acta	PROPN
ap-1183	1	3	polytechnica	polytechnica	PROPN
ap-1183	1	4	vol	vol	NOUN
ap-1183	1	5	.	.	PROPN
ap-1183	2	1	50	50	NUM
ap-1183	2	2	no	no	NOUN
ap-1183	2	3	.	.	PUNCT
ap-1183	3	1	3/2010	3/2010	NUM
ap-1183	3	2	superconformal	superconformal	ADJ
ap-1183	3	3	calogero	calogero	PROPN
ap-1183	3	4	models	model	NOUN
ap-1183	3	5	as	as	ADP
ap-1183	3	6	a	a	DET
ap-1183	3	7	gauged	gauge	VERB
ap-1183	3	8	matrix	matrix	NOUN
ap-1183	3	9	mechanics	mechanic	NOUN
ap-1183	3	10	s.	s.	PROPN
ap-1183	3	11	fedoruk	fedoruk	PROPN
ap-1183	3	12	abstract	abstract	PROPN
ap-1183	3	13	we	we	PRON
ap-1183	3	14	present	present	VERB
ap-1183	3	15	basics	basic	NOUN
ap-1183	3	16	of	of	ADP
ap-1183	3	17	the	the	DET
ap-1183	3	18	gauged	gauge	VERB
ap-1183	3	19	superfield	superfield	NOUN
ap-1183	3	20	approach	approach	NOUN
ap-1183	3	21	to	to	ADP
ap-1183	3	22	constructing	construct	VERB
ap-1183	3	23	the	the	DET
ap-1183	3	24	n	n	CCONJ
ap-1183	3	25	-superconformal	-superconformal	ADJ
ap-1183	3	26	multi	multi	ADJ
ap-1183	3	27	-	-	ADJ
ap-1183	3	28	particle	particle	ADJ
ap-1183	3	29	calogero	calogero	NOUN
ap-1183	3	30	-	-	PUNCT
ap-1183	3	31	type	type	NOUN
ap-1183	3	32	systems	system	NOUN
ap-1183	3	33	developed	develop	VERB
ap-1183	3	34	in	in	ADP
ap-1183	3	35	arxiv:0812.4276	arxiv:0812.4276	PROPN
ap-1183	3	36	,	,	PUNCT
ap-1183	3	37	arxiv:0905.4951	arxiv:0905.4951	NOUN
ap-1183	3	38	and	and	CCONJ
ap-1183	3	39	arxiv:0912.3508	arxiv:0912.3508	NOUN
ap-1183	3	40	.	.	PUNCT
ap-1183	4	1	this	this	DET
ap-1183	4	2	approach	approach	NOUN
ap-1183	4	3	is	be	AUX
ap-1183	4	4	illustrated	illustrate	VERB
ap-1183	4	5	by	by	ADP
ap-1183	4	6	multi	multi	ADJ
ap-1183	4	7	-	-	ADJ
ap-1183	4	8	particle	particle	ADJ
ap-1183	4	9	systems	system	NOUN
ap-1183	4	10	possessing	possess	VERB
ap-1183	4	11	su(1	su(1	NOUN
ap-1183	4	12	,	,	PUNCT
ap-1183	4	13	1|1	1|1	NUM
ap-1183	4	14	)	)	PUNCT
ap-1183	4	15	and	and	CCONJ
ap-1183	4	16	d(2	d(2	PROPN
ap-1183	4	17	,	,	PUNCT
ap-1183	4	18	1;α	1;α	NUM
ap-1183	4	19	)	)	PUNCT
ap-1183	4	20	supersymmetries	supersymmetry	NOUN
ap-1183	4	21	,	,	PUNCT
ap-1183	4	22	as	as	ADV
ap-1183	4	23	well	well	ADV
ap-1183	4	24	as	as	ADP
ap-1183	4	25	by	by	ADP
ap-1183	4	26	the	the	DET
ap-1183	4	27	model	model	NOUN
ap-1183	4	28	of	of	ADP
ap-1183	4	29	newn	newn	PROPN
ap-1183	4	30	=	=	SYM
ap-1183	4	31	4	4	NUM
ap-1183	4	32	superconformal	superconformal	ADJ
ap-1183	4	33	quantum	quantum	NOUN
ap-1183	4	34	mechanics	mechanic	NOUN
ap-1183	4	35	.	.	PUNCT
ap-1183	5	1	1	1	NUM
ap-1183	5	2	introduction	introduction	NOUN
ap-1183	5	3	the	the	DET
ap-1183	5	4	celebrated	celebrated	ADJ
ap-1183	5	5	calogero	calogero	PROPN
ap-1183	5	6	model	model	NOUN
ap-1183	6	1	[	[	X
ap-1183	6	2	1	1	NUM
ap-1183	6	3	]	]	PUNCT
ap-1183	6	4	is	be	AUX
ap-1183	6	5	a	a	DET
ap-1183	6	6	prime	prime	ADJ
ap-1183	6	7	example	example	NOUN
ap-1183	6	8	of	of	ADP
ap-1183	6	9	an	an	DET
ap-1183	6	10	integrable	integrable	ADJ
ap-1183	6	11	and	and	CCONJ
ap-1183	6	12	exactly	exactly	ADV
ap-1183	6	13	solvable	solvable	ADJ
ap-1183	6	14	multi	multi	ADJ
ap-1183	6	15	-	-	ADJ
ap-1183	6	16	particle	particle	ADJ
ap-1183	6	17	system	system	NOUN
ap-1183	6	18	.	.	PUNCT
ap-1183	7	1	it	it	PRON
ap-1183	7	2	describes	describe	VERB
ap-1183	7	3	the	the	DET
ap-1183	7	4	system	system	NOUN
ap-1183	7	5	of	of	ADP
ap-1183	7	6	n	n	CCONJ
ap-1183	7	7	identical	identical	ADJ
ap-1183	7	8	particles	particle	NOUN
ap-1183	7	9	interacting	interact	VERB
ap-1183	7	10	through	through	ADP
ap-1183	7	11	an	an	DET
ap-1183	7	12	inverse	inverse	NOUN
ap-1183	7	13	-	-	PUNCT
ap-1183	7	14	square	square	NOUN
ap-1183	7	15	pair	pair	NOUN
ap-1183	7	16	potential	potential	NOUN
ap-1183	7	17	∑	∑	PUNCT
ap-1183	7	18	a	a	DET
ap-1183	7	19	�	�	PROPN
ap-1183	7	20	=b	=b	ADJ
ap-1183	7	21	g/(xa	g/(xa	NOUN
ap-1183	7	22	−	−	PROPN
ap-1183	7	23	xb	xb	PROPN
ap-1183	7	24	)	)	PUNCT
ap-1183	7	25	2	2	NUM
ap-1183	7	26	,	,	PUNCT
ap-1183	7	27	a	a	PRON
ap-1183	7	28	,	,	PUNCT
ap-1183	7	29	b	b	NOUN
ap-1183	7	30	=	=	SYM
ap-1183	7	31	1	1	NUM
ap-1183	7	32	,	,	PUNCT
ap-1183	7	33	.	.	PUNCT
ap-1183	7	34	.	.	PUNCT
ap-1183	8	1	.	.	PUNCT
ap-1183	9	1	,	,	PUNCT
ap-1183	9	2	n.	n.	VERB
ap-1183	9	3	the	the	DET
ap-1183	9	4	calogero	calogero	PROPN
ap-1183	9	5	model	model	NOUN
ap-1183	9	6	and	and	CCONJ
ap-1183	9	7	its	its	PRON
ap-1183	9	8	generalizations	generalization	NOUN
ap-1183	9	9	provide	provide	VERB
ap-1183	9	10	deep	deep	ADJ
ap-1183	9	11	connections	connection	NOUN
ap-1183	9	12	of	of	ADP
ap-1183	9	13	various	various	ADJ
ap-1183	9	14	branches	branch	NOUN
ap-1183	9	15	of	of	ADP
ap-1183	9	16	theoretical	theoretical	ADJ
ap-1183	9	17	physics	physics	NOUN
ap-1183	9	18	and	and	CCONJ
ap-1183	9	19	have	have	VERB
ap-1183	9	20	a	a	DET
ap-1183	9	21	wide	wide	ADJ
ap-1183	9	22	range	range	NOUN
ap-1183	9	23	of	of	ADP
ap-1183	9	24	physical	physical	ADJ
ap-1183	9	25	and	and	CCONJ
ap-1183	9	26	mathematical	mathematical	ADJ
ap-1183	9	27	applications	application	NOUN
ap-1183	9	28	(	(	PUNCT
ap-1183	9	29	for	for	ADP
ap-1183	9	30	a	a	DET
ap-1183	9	31	review	review	NOUN
ap-1183	9	32	,	,	PUNCT
ap-1183	9	33	see	see	VERB
ap-1183	9	34	[	[	X
ap-1183	9	35	2	2	NUM
ap-1183	9	36	,	,	PUNCT
ap-1183	9	37	3	3	NUM
ap-1183	9	38	]	]	NUM
ap-1183	9	39	)	)	PUNCT
ap-1183	9	40	.	.	PUNCT
ap-1183	10	1	an	an	DET
ap-1183	10	2	important	important	ADJ
ap-1183	10	3	property	property	NOUN
ap-1183	10	4	of	of	ADP
ap-1183	10	5	the	the	DET
ap-1183	10	6	calogero	calogero	PROPN
ap-1183	10	7	model	model	NOUN
ap-1183	10	8	is	be	AUX
ap-1183	10	9	d	d	NOUN
ap-1183	10	10	=	=	SYM
ap-1183	10	11	1	1	NUM
ap-1183	10	12	conformal	conformal	NOUN
ap-1183	10	13	symmetry	symmetry	NOUN
ap-1183	10	14	so(1	so(1	PROPN
ap-1183	10	15	,	,	PUNCT
ap-1183	10	16	2	2	NUM
ap-1183	10	17	)	)	PUNCT
ap-1183	10	18	.	.	PUNCT
ap-1183	11	1	being	be	AUX
ap-1183	11	2	multiparticle	multiparticle	NOUN
ap-1183	11	3	conformal	conformal	NOUN
ap-1183	11	4	mechanics	mechanic	NOUN
ap-1183	11	5	,	,	PUNCT
ap-1183	11	6	this	this	DET
ap-1183	11	7	model	model	NOUN
ap-1183	11	8	,	,	PUNCT
ap-1183	11	9	in	in	ADP
ap-1183	11	10	the	the	DET
ap-1183	11	11	twoparticle	twoparticle	NOUN
ap-1183	11	12	case	case	NOUN
ap-1183	11	13	,	,	PUNCT
ap-1183	11	14	yields	yield	VERB
ap-1183	11	15	the	the	DET
ap-1183	11	16	standard	standard	ADJ
ap-1183	11	17	conformal	conformal	ADJ
ap-1183	11	18	mechanics	mechanic	NOUN
ap-1183	11	19	[	[	X
ap-1183	11	20	4	4	NUM
ap-1183	11	21	]	]	PUNCT
ap-1183	11	22	.	.	PUNCT
ap-1183	12	1	conformal	conformal	ADJ
ap-1183	12	2	properties	property	NOUN
ap-1183	12	3	of	of	ADP
ap-1183	12	4	the	the	DET
ap-1183	12	5	calogero	calogero	PROPN
ap-1183	12	6	model	model	NOUN
ap-1183	12	7	and	and	CCONJ
ap-1183	12	8	the	the	DET
ap-1183	12	9	supersymmetric	supersymmetric	ADJ
ap-1183	12	10	generalizations	generalization	NOUN
ap-1183	12	11	of	of	ADP
ap-1183	12	12	the	the	DET
ap-1183	12	13	latter	latter	ADJ
ap-1183	12	14	give	give	VERB
ap-1183	12	15	possibilities	possibility	NOUN
ap-1183	12	16	to	to	PART
ap-1183	12	17	apply	apply	VERB
ap-1183	12	18	them	they	PRON
ap-1183	12	19	in	in	ADP
ap-1183	12	20	black	black	ADJ
ap-1183	12	21	hole	hole	NOUN
ap-1183	12	22	physics	physic	NOUN
ap-1183	12	23	,	,	PUNCT
ap-1183	12	24	since	since	SCONJ
ap-1183	12	25	the	the	DET
ap-1183	12	26	near	near	ADJ
ap-1183	12	27	-	-	PUNCT
ap-1183	12	28	horizon	horizon	NOUN
ap-1183	12	29	limits	limit	NOUN
ap-1183	12	30	of	of	ADP
ap-1183	12	31	extreme	extreme	ADJ
ap-1183	12	32	black	black	ADJ
ap-1183	12	33	hole	hole	NOUN
ap-1183	12	34	solutions	solution	NOUN
ap-1183	12	35	in	in	ADP
ap-1183	12	36	m	m	PROPN
ap-1183	12	37	-theory	-theory	ADJ
ap-1183	12	38	correspond	correspond	NOUN
ap-1183	12	39	to	to	ADP
ap-1183	12	40	ads2	ads2	ADJ
ap-1183	12	41	geometry	geometry	NOUN
ap-1183	12	42	,	,	PUNCT
ap-1183	12	43	having	have	VERB
ap-1183	12	44	the	the	DET
ap-1183	12	45	same	same	ADJ
ap-1183	12	46	so(1	so(1	PROPN
ap-1183	12	47	,	,	PUNCT
ap-1183	12	48	2	2	NUM
ap-1183	12	49	)	)	PUNCT
ap-1183	12	50	isometry	isometry	NOUN
ap-1183	12	51	group	group	NOUN
ap-1183	12	52	.	.	PUNCT
ap-1183	13	1	analysis	analysis	NOUN
ap-1183	13	2	of	of	ADP
ap-1183	13	3	the	the	DET
ap-1183	13	4	physical	physical	ADJ
ap-1183	13	5	fermionic	fermionic	NOUN
ap-1183	13	6	degrees	degree	NOUN
ap-1183	13	7	of	of	ADP
ap-1183	13	8	freedom	freedom	NOUN
ap-1183	13	9	in	in	ADP
ap-1183	13	10	the	the	DET
ap-1183	13	11	black	black	ADJ
ap-1183	13	12	hole	hole	NOUN
ap-1183	13	13	solutions	solution	NOUN
ap-1183	13	14	of	of	ADP
ap-1183	13	15	fourand	fourand	ADJ
ap-1183	13	16	five	five	NUM
ap-1183	13	17	-	-	PUNCT
ap-1183	13	18	dimensional	dimensional	ADJ
ap-1183	13	19	supergravities	supergravitie	NOUN
ap-1183	13	20	shows	show	VERB
ap-1183	13	21	that	that	SCONJ
ap-1183	13	22	related	related	ADJ
ap-1183	13	23	d	d	NOUN
ap-1183	13	24	=	=	SYM
ap-1183	13	25	1	1	NUM
ap-1183	13	26	superconformal	superconformal	ADJ
ap-1183	13	27	systems	system	NOUN
ap-1183	13	28	must	must	AUX
ap-1183	13	29	possess	possess	VERB
ap-1183	13	30	n	n	NOUN
ap-1183	13	31	=	=	SYM
ap-1183	13	32	4	4	NUM
ap-1183	13	33	supersymmetry	supersymmetry	NOUN
ap-1183	13	34	[	[	X
ap-1183	13	35	5	5	NUM
ap-1183	13	36	,	,	PUNCT
ap-1183	13	37	6	6	NUM
ap-1183	13	38	,	,	PUNCT
ap-1183	13	39	7	7	NUM
ap-1183	13	40	]	]	PUNCT
ap-1183	13	41	.	.	PUNCT
ap-1183	14	1	superconformal	superconformal	PROPN
ap-1183	14	2	calogero	calogero	PROPN
ap-1183	14	3	models	model	NOUN
ap-1183	14	4	with	with	ADP
ap-1183	14	5	n	n	NOUN
ap-1183	14	6	=	=	SYM
ap-1183	14	7	2	2	NUM
ap-1183	14	8	supersymmetry	supersymmetry	NOUN
ap-1183	14	9	were	be	AUX
ap-1183	14	10	considered	consider	VERB
ap-1183	14	11	in	in	ADP
ap-1183	14	12	[	[	X
ap-1183	14	13	8	8	NUM
ap-1183	14	14	,	,	PUNCT
ap-1183	14	15	9	9	NUM
ap-1183	14	16	]	]	PUNCT
ap-1183	14	17	and	and	CCONJ
ap-1183	14	18	with	with	ADP
ap-1183	14	19	n	n	NOUN
ap-1183	14	20	=	=	SYM
ap-1183	14	21	4	4	NUM
ap-1183	14	22	supersymmetry	supersymmetry	NOUN
ap-1183	14	23	in	in	ADP
ap-1183	14	24	[	[	X
ap-1183	14	25	10	10	NUM
ap-1183	14	26	,	,	PUNCT
ap-1183	14	27	11	11	NUM
ap-1183	14	28	,	,	PUNCT
ap-1183	14	29	12	12	NUM
ap-1183	14	30	,	,	PUNCT
ap-1183	14	31	13	13	NUM
ap-1183	14	32	,	,	PUNCT
ap-1183	14	33	14	14	NUM
ap-1183	14	34	,	,	PUNCT
ap-1183	14	35	15	15	NUM
ap-1183	14	36	]	]	PUNCT
ap-1183	14	37	.	.	PUNCT
ap-1183	15	1	unfortunately	unfortunately	ADV
ap-1183	15	2	,	,	PUNCT
ap-1183	15	3	consistent	consistent	ADJ
ap-1183	15	4	lagrange	lagrange	NOUN
ap-1183	15	5	formulations	formulation	NOUN
ap-1183	15	6	for	for	ADP
ap-1183	15	7	the	the	DET
ap-1183	15	8	nparticle	nparticle	PROPN
ap-1183	15	9	calogero	calogero	PROPN
ap-1183	15	10	model	model	PROPN
ap-1183	15	11	with	with	ADP
ap-1183	15	12	n	n	NOUN
ap-1183	15	13	=	=	SYM
ap-1183	15	14	4	4	NUM
ap-1183	15	15	superconformal	superconformal	ADJ
ap-1183	15	16	symmetry	symmetry	NOUN
ap-1183	15	17	for	for	ADP
ap-1183	15	18	any	any	DET
ap-1183	15	19	n	n	NOUN
ap-1183	15	20	is	be	AUX
ap-1183	15	21	still	still	ADV
ap-1183	15	22	lacking	lack	VERB
ap-1183	15	23	.	.	PUNCT
ap-1183	16	1	recently	recently	ADV
ap-1183	16	2	,	,	PUNCT
ap-1183	16	3	we	we	PRON
ap-1183	16	4	developed	develop	VERB
ap-1183	16	5	a	a	DET
ap-1183	16	6	universal	universal	ADJ
ap-1183	16	7	approach	approach	NOUN
ap-1183	16	8	to	to	ADP
ap-1183	16	9	superconformal	superconformal	ADJ
ap-1183	16	10	calogero	calogero	PROPN
ap-1183	16	11	models	model	NOUN
ap-1183	16	12	for	for	ADP
ap-1183	16	13	an	an	DET
ap-1183	16	14	arbitrary	arbitrary	ADJ
ap-1183	16	15	number	number	NOUN
ap-1183	16	16	of	of	ADP
ap-1183	16	17	interacting	interact	VERB
ap-1183	16	18	particles	particle	NOUN
ap-1183	16	19	,	,	PUNCT
ap-1183	16	20	including	include	VERB
ap-1183	16	21	n	n	NOUN
ap-1183	16	22	=	=	SYM
ap-1183	16	23	4	4	NUM
ap-1183	16	24	models	model	NOUN
ap-1183	16	25	.	.	PUNCT
ap-1183	17	1	it	it	PRON
ap-1183	17	2	is	be	AUX
ap-1183	17	3	based	base	VERB
ap-1183	17	4	on	on	ADP
ap-1183	17	5	the	the	DET
ap-1183	17	6	superfield	superfield	ADJ
ap-1183	17	7	gauging	gauging	NOUN
ap-1183	17	8	of	of	ADP
ap-1183	17	9	some	some	DET
ap-1183	17	10	non	non	ADJ
ap-1183	17	11	-	-	ADJ
ap-1183	17	12	abelian	abelian	ADJ
ap-1183	17	13	isometries	isometry	NOUN
ap-1183	17	14	of	of	ADP
ap-1183	17	15	d	d	NOUN
ap-1183	17	16	=	=	SYM
ap-1183	17	17	1	1	NUM
ap-1183	17	18	field	field	NOUN
ap-1183	17	19	theories	theory	NOUN
ap-1183	17	20	[	[	X
ap-1183	17	21	16	16	NUM
ap-1183	17	22	]	]	PUNCT
ap-1183	17	23	.	.	PUNCT
ap-1183	18	1	our	our	PRON
ap-1183	18	2	gauge	gauge	NOUN
ap-1183	18	3	model	model	NOUN
ap-1183	18	4	involves	involve	VERB
ap-1183	18	5	three	three	NUM
ap-1183	18	6	matrix	matrix	NOUN
ap-1183	18	7	superfields	superfield	NOUN
ap-1183	18	8	.	.	PUNCT
ap-1183	19	1	one	one	NUM
ap-1183	19	2	is	be	AUX
ap-1183	19	3	a	a	DET
ap-1183	19	4	bosonic	bosonic	NOUN
ap-1183	19	5	superfield	superfield	NOUN
ap-1183	19	6	in	in	ADP
ap-1183	19	7	the	the	DET
ap-1183	19	8	adjoint	adjoint	NOUN
ap-1183	19	9	representation	representation	NOUN
ap-1183	19	10	of	of	ADP
ap-1183	19	11	u(n	u(n	PROPN
ap-1183	19	12	)	)	PUNCT
ap-1183	19	13	.	.	PUNCT
ap-1183	20	1	it	it	PRON
ap-1183	20	2	carries	carry	VERB
ap-1183	20	3	the	the	DET
ap-1183	20	4	physical	physical	ADJ
ap-1183	20	5	degrees	degree	NOUN
ap-1183	20	6	of	of	ADP
ap-1183	20	7	freedom	freedom	NOUN
ap-1183	20	8	of	of	ADP
ap-1183	20	9	the	the	DET
ap-1183	20	10	supercalogero	supercalogero	NOUN
ap-1183	20	11	system	system	NOUN
ap-1183	20	12	.	.	PUNCT
ap-1183	21	1	the	the	DET
ap-1183	21	2	second	second	ADJ
ap-1183	21	3	superfield	superfield	NOUN
ap-1183	21	4	is	be	AUX
ap-1183	21	5	in	in	ADP
ap-1183	21	6	the	the	DET
ap-1183	21	7	fundamental	fundamental	ADJ
ap-1183	21	8	(	(	PUNCT
ap-1183	21	9	spinor	spinor	NOUN
ap-1183	21	10	)	)	PUNCT
ap-1183	21	11	representation	representation	NOUN
ap-1183	21	12	of	of	ADP
ap-1183	21	13	u(n	u(n	PROPN
ap-1183	21	14	)	)	PUNCT
ap-1183	21	15	and	and	CCONJ
ap-1183	21	16	is	be	AUX
ap-1183	21	17	described	describe	VERB
ap-1183	21	18	by	by	ADP
ap-1183	21	19	chern	chern	PROPN
ap-1183	21	20	-	-	PUNCT
ap-1183	21	21	simons	simon	NOUN
ap-1183	21	22	mechanical	mechanical	ADJ
ap-1183	21	23	action	action	NOUN
ap-1183	21	24	[	[	X
ap-1183	21	25	17	17	NUM
ap-1183	21	26	,	,	PUNCT
ap-1183	21	27	18	18	NUM
ap-1183	21	28	]	]	PUNCT
ap-1183	21	29	.	.	PUNCT
ap-1183	22	1	the	the	DET
ap-1183	22	2	third	third	ADJ
ap-1183	22	3	matrix	matrix	NOUN
ap-1183	22	4	superfield	superfield	NOUN
ap-1183	22	5	accommodates	accommodate	VERB
ap-1183	22	6	the	the	DET
ap-1183	22	7	gauge	gauge	NOUN
ap-1183	22	8	“	"	PUNCT
ap-1183	22	9	topological	topological	ADJ
ap-1183	22	10	”	"	PUNCT
ap-1183	22	11	supermultiplet	supermultiplet	NOUN
ap-1183	23	1	[	[	X
ap-1183	23	2	16	16	NUM
ap-1183	23	3	]	]	PUNCT
ap-1183	23	4	.	.	PUNCT
ap-1183	24	1	n	n	PRON
ap-1183	24	2	extended	extend	VERB
ap-1183	24	3	superconformal	superconformal	ADJ
ap-1183	24	4	symmetry	symmetry	NOUN
ap-1183	24	5	plays	play	VERB
ap-1183	24	6	a	a	DET
ap-1183	24	7	very	very	ADV
ap-1183	24	8	important	important	ADJ
ap-1183	24	9	role	role	NOUN
ap-1183	24	10	in	in	ADP
ap-1183	24	11	our	our	PRON
ap-1183	24	12	model	model	NOUN
ap-1183	24	13	.	.	PUNCT
ap-1183	25	1	elimination	elimination	NOUN
ap-1183	25	2	of	of	ADP
ap-1183	25	3	the	the	DET
ap-1183	25	4	pure	pure	ADJ
ap-1183	25	5	gauge	gauge	NOUN
ap-1183	25	6	and	and	CCONJ
ap-1183	25	7	auxiliary	auxiliary	ADJ
ap-1183	25	8	fields	field	NOUN
ap-1183	25	9	gives	give	VERB
ap-1183	25	10	rise	rise	NOUN
ap-1183	25	11	to	to	ADP
ap-1183	25	12	calogero	calogero	NOUN
ap-1183	25	13	-	-	PUNCT
ap-1183	25	14	like	like	ADJ
ap-1183	25	15	interactions	interaction	NOUN
ap-1183	25	16	for	for	ADP
ap-1183	25	17	the	the	DET
ap-1183	25	18	physical	physical	ADJ
ap-1183	25	19	fields	field	NOUN
ap-1183	25	20	.	.	PUNCT
ap-1183	26	1	the	the	DET
ap-1183	26	2	talk	talk	NOUN
ap-1183	26	3	is	be	AUX
ap-1183	26	4	based	base	VERB
ap-1183	26	5	on	on	ADP
ap-1183	26	6	the	the	DET
ap-1183	26	7	papers	paper	NOUN
ap-1183	26	8	[	[	X
ap-1183	26	9	19	19	NUM
ap-1183	26	10	,	,	PUNCT
ap-1183	26	11	20	20	NUM
ap-1183	26	12	,	,	PUNCT
ap-1183	26	13	21	21	NUM
ap-1183	26	14	]	]	PUNCT
ap-1183	26	15	.	.	PUNCT
ap-1183	27	1	2	2	NUM
ap-1183	27	2	gauged	gauge	VERB
ap-1183	27	3	formulation	formulation	NOUN
ap-1183	27	4	of	of	ADP
ap-1183	27	5	the	the	DET
ap-1183	27	6	calogero	calogero	PROPN
ap-1183	27	7	model	model	NOUN
ap-1183	27	8	the	the	DET
ap-1183	27	9	renowned	renowned	ADJ
ap-1183	27	10	calogero	calogero	PROPN
ap-1183	27	11	system	system	NOUN
ap-1183	27	12	[	[	X
ap-1183	27	13	1	1	X
ap-1183	27	14	]	]	PUNCT
ap-1183	27	15	can	can	AUX
ap-1183	27	16	be	be	AUX
ap-1183	27	17	described	describe	VERB
ap-1183	27	18	by	by	ADP
ap-1183	27	19	the	the	DET
ap-1183	27	20	following	follow	VERB
ap-1183	27	21	action	action	NOUN
ap-1183	27	22	[	[	X
ap-1183	27	23	18	18	NUM
ap-1183	27	24	,	,	PUNCT
ap-1183	27	25	22	22	NUM
ap-1183	27	26	]	]	SYM
ap-1183	27	27	:	:	PUNCT
ap-1183	27	28	s0	s0	PROPN
ap-1183	27	29	=	=	SYM
ap-1183	27	30	∫	∫	PROPN
ap-1183	27	31	dt	dt	X
ap-1183	28	1	[	[	PUNCT
ap-1183	28	2	tr	tr	X
ap-1183	28	3	(	(	PUNCT
ap-1183	28	4	∇x∇x)+	∇x∇x)+	NOUN
ap-1183	28	5	i	i	PRON
ap-1183	28	6	2	2	NUM
ap-1183	28	7	(	(	PUNCT
ap-1183	28	8	z̄∇z	z̄∇z	PROPN
ap-1183	28	9	−∇z̄z	−∇z̄z	VERB
ap-1183	28	10	)	)	PUNCT
ap-1183	28	11	+	+	NUM
ap-1183	28	12	ctra	ctra	PROPN
ap-1183	28	13	]	]	PUNCT
ap-1183	28	14	,	,	PUNCT
ap-1183	28	15	(	(	PUNCT
ap-1183	28	16	2.1	2.1	NUM
ap-1183	28	17	)	)	PUNCT
ap-1183	28	18	where	where	SCONJ
ap-1183	28	19	∇x	∇x	PROPN
ap-1183	28	20	=	=	SYM
ap-1183	28	21	ẋ	ẋ	PROPN
ap-1183	29	1	+	+	NUM
ap-1183	29	2	i[a	i[a	ADJ
ap-1183	29	3	,	,	PUNCT
ap-1183	29	4	x	x	X
ap-1183	29	5	]	]	X
ap-1183	29	6	,	,	PUNCT
ap-1183	29	7	∇z	∇z	NOUN
ap-1183	29	8	=	=	SYM
ap-1183	29	9	ż	ż	PROPN
ap-1183	29	10	+	+	CCONJ
ap-1183	29	11	iaz	iaz	NOUN
ap-1183	30	1	∇z̄	∇z̄	PROPN
ap-1183	30	2	=	=	PUNCT
ap-1183	30	3	˙̄z	˙̄z	NOUN
ap-1183	30	4	−	−	PROPN
ap-1183	30	5	iz̄a	iz̄a	PROPN
ap-1183	30	6	.	.	PUNCT
ap-1183	31	1	the	the	DET
ap-1183	31	2	action	action	NOUN
ap-1183	31	3	(	(	PUNCT
ap-1183	31	4	2.1	2.1	NUM
ap-1183	31	5	)	)	PUNCT
ap-1183	31	6	is	be	AUX
ap-1183	31	7	the	the	DET
ap-1183	31	8	action	action	NOUN
ap-1183	31	9	of	of	ADP
ap-1183	31	10	u(n	u(n	PROPN
ap-1183	31	11	)	)	PUNCT
ap-1183	31	12	,	,	PUNCT
ap-1183	31	13	d	d	NOUN
ap-1183	31	14	=	=	SYM
ap-1183	31	15	1	1	NUM
ap-1183	31	16	gauge	gauge	NOUN
ap-1183	31	17	theory	theory	NOUN
ap-1183	31	18	.	.	PUNCT
ap-1183	32	1	the	the	DET
ap-1183	32	2	hermitian	hermitian	ADJ
ap-1183	32	3	n×n	n×n	PROPN
ap-1183	32	4	-	-	PUNCT
ap-1183	32	5	matrix	matrix	NOUN
ap-1183	32	6	field	field	NOUN
ap-1183	32	7	xb	xb	PROPN
ap-1183	32	8	a(t	a(t	PROPN
ap-1183	32	9	)	)	PUNCT
ap-1183	32	10	,	,	PUNCT
ap-1183	32	11	(	(	PUNCT
ap-1183	32	12	xb	xb	X
ap-1183	32	13	a	a	X
ap-1183	32	14	)	)	PUNCT
ap-1183	32	15	=	=	SYM
ap-1183	32	16	xa	xa	PROPN
ap-1183	32	17	b	b	PROPN
ap-1183	32	18	,	,	PUNCT
ap-1183	32	19	a	a	PRON
ap-1183	32	20	,	,	PUNCT
ap-1183	32	21	b	b	NOUN
ap-1183	32	22	=	=	SYM
ap-1183	32	23	1	1	NUM
ap-1183	32	24	,	,	PUNCT
ap-1183	32	25	.	.	PUNCT
ap-1183	32	26	.	.	PUNCT
ap-1183	32	27	.	.	PUNCT
ap-1183	33	1	,	,	PUNCT
ap-1183	33	2	n	n	PROPN
ap-1183	33	3	and	and	CCONJ
ap-1183	33	4	the	the	DET
ap-1183	33	5	complex	complex	ADJ
ap-1183	33	6	commuting	commuting	NOUN
ap-1183	33	7	u(n)spinor	u(n)spinor	ADJ
ap-1183	33	8	field	field	NOUN
ap-1183	33	9	za(t	za(t	NUM
ap-1183	33	10	)	)	PUNCT
ap-1183	33	11	,	,	PUNCT
ap-1183	33	12	z̄a	z̄a	PROPN
ap-1183	33	13	=	=	SYM
ap-1183	33	14	(	(	PUNCT
ap-1183	33	15	za	za	NOUN
ap-1183	33	16	)	)	PUNCT
ap-1183	33	17	present	present	VERB
ap-1183	33	18	the	the	DET
ap-1183	33	19	matter	matter	NOUN
ap-1183	33	20	,	,	PUNCT
ap-1183	33	21	scalar	scalar	ADJ
ap-1183	33	22	and	and	CCONJ
ap-1183	33	23	spinor	spinor	NOUN
ap-1183	33	24	fields	field	NOUN
ap-1183	33	25	,	,	PUNCT
ap-1183	33	26	respectively	respectively	ADV
ap-1183	33	27	.	.	PUNCT
ap-1183	34	1	the	the	DET
ap-1183	34	2	n2	n2	ADJ
ap-1183	34	3	“	"	PUNCT
ap-1183	34	4	gauge	gauge	ADJ
ap-1183	34	5	fields	field	NOUN
ap-1183	34	6	”	"	PUNCT
ap-1183	34	7	ab	ab	PROPN
ap-1183	34	8	a(t	a(t	PROPN
ap-1183	34	9	)	)	PUNCT
ap-1183	34	10	,	,	PUNCT
ap-1183	34	11	(	(	PUNCT
ap-1183	34	12	ab	ab	PROPN
ap-1183	34	13	a	a	X
ap-1183	34	14	)	)	PUNCT
ap-1183	34	15	=	=	SYM
ap-1183	35	1	aa	aa	PROPN
ap-1183	35	2	b	b	PROPN
ap-1183	35	3	are	be	AUX
ap-1183	35	4	non	non	ADJ
ap-1183	35	5	-	-	ADJ
ap-1183	35	6	propagating	propagating	ADJ
ap-1183	35	7	ones	one	NOUN
ap-1183	35	8	in	in	ADP
ap-1183	35	9	d	d	PROPN
ap-1183	35	10	=	=	SYM
ap-1183	35	11	1	1	NUM
ap-1183	35	12	gauge	gauge	NOUN
ap-1183	35	13	theory	theory	NOUN
ap-1183	35	14	.	.	PUNCT
ap-1183	36	1	the	the	DET
ap-1183	36	2	second	second	ADJ
ap-1183	36	3	term	term	NOUN
ap-1183	36	4	in	in	ADP
ap-1183	36	5	the	the	DET
ap-1183	36	6	action	action	NOUN
ap-1183	36	7	(	(	PUNCT
ap-1183	36	8	2.1	2.1	NUM
ap-1183	36	9	)	)	PUNCT
ap-1183	36	10	is	be	AUX
ap-1183	36	11	the	the	DET
ap-1183	36	12	wess	wess	NOUN
ap-1183	36	13	-	-	PUNCT
ap-1183	36	14	zumino	zumino	PROPN
ap-1183	36	15	(	(	PUNCT
ap-1183	36	16	wz	wz	PROPN
ap-1183	36	17	)	)	PUNCT
ap-1183	36	18	term	term	NOUN
ap-1183	36	19	.	.	PUNCT
ap-1183	37	1	the	the	DET
ap-1183	37	2	third	third	ADJ
ap-1183	37	3	term	term	NOUN
ap-1183	37	4	is	be	AUX
ap-1183	37	5	the	the	DET
ap-1183	37	6	standard	standard	ADJ
ap-1183	37	7	fayet	fayet	NOUN
ap-1183	37	8	-	-	PUNCT
ap-1183	37	9	iliopoulos	iliopoulo	NOUN
ap-1183	37	10	(	(	PUNCT
ap-1183	37	11	fi	fi	NOUN
ap-1183	37	12	)	)	PUNCT
ap-1183	37	13	term	term	NOUN
ap-1183	37	14	.	.	PUNCT
ap-1183	38	1	the	the	DET
ap-1183	38	2	action	action	NOUN
ap-1183	38	3	(	(	PUNCT
ap-1183	38	4	2.1	2.1	NUM
ap-1183	38	5	)	)	PUNCT
ap-1183	38	6	is	be	AUX
ap-1183	38	7	invariant	invariant	ADJ
ap-1183	38	8	under	under	ADP
ap-1183	38	9	the	the	DET
ap-1183	38	10	d	d	PROPN
ap-1183	38	11	=	=	SYM
ap-1183	38	12	1	1	NUM
ap-1183	38	13	conformal	conformal	NOUN
ap-1183	38	14	so(1	so(1	PROPN
ap-1183	38	15	,	,	PUNCT
ap-1183	38	16	2	2	NUM
ap-1183	38	17	)	)	PUNCT
ap-1183	38	18	transformations	transformation	NOUN
ap-1183	38	19	:	:	PUNCT
ap-1183	38	20	δt	δt	X
ap-1183	38	21	=	=	SYM
ap-1183	38	22	α	α	PROPN
ap-1183	38	23	,	,	PUNCT
ap-1183	38	24	δxb	δxb	NOUN
ap-1183	38	25	a	a	DET
ap-1183	38	26	=	=	NOUN
ap-1183	38	27	1	1	NUM
ap-1183	38	28	2	2	NUM
ap-1183	38	29	α̇xb	α̇xb	NOUN
ap-1183	38	30	a	a	PRON
ap-1183	38	31	,	,	PUNCT
ap-1183	38	32	δza	δza	NOUN
ap-1183	38	33	=	=	SYM
ap-1183	38	34	0	0	NUM
ap-1183	38	35	,	,	PUNCT
ap-1183	38	36	δab	δab	VERB
ap-1183	38	37	a	a	DET
ap-1183	38	38	=	=	SYM
ap-1183	38	39	−α̇ab	−α̇ab	PROPN
ap-1183	38	40	a	a	PRON
ap-1183	38	41	,	,	PUNCT
ap-1183	38	42	(	(	PUNCT
ap-1183	38	43	2.2	2.2	NUM
ap-1183	38	44	)	)	PUNCT
ap-1183	38	45	where	where	SCONJ
ap-1183	38	46	the	the	DET
ap-1183	38	47	constrained	constrain	VERB
ap-1183	38	48	parameter	parameter	NOUN
ap-1183	38	49	∂3	∂3	PROPN
ap-1183	38	50	t	t	PROPN
ap-1183	38	51	α	α	NOUN
ap-1183	38	52	=	=	SYM
ap-1183	38	53	0	0	NUM
ap-1183	38	54	contains	contain	VERB
ap-1183	38	55	three	three	NUM
ap-1183	38	56	independent	independent	ADJ
ap-1183	38	57	infinitesimal	infinitesimal	ADJ
ap-1183	38	58	constant	constant	ADJ
ap-1183	38	59	parameters	parameter	NOUN
ap-1183	38	60	of	of	ADP
ap-1183	38	61	so(1	so(1	PROPN
ap-1183	38	62	,	,	PUNCT
ap-1183	38	63	2	2	NUM
ap-1183	38	64	)	)	PUNCT
ap-1183	38	65	.	.	PUNCT
ap-1183	39	1	talk	talk	VERB
ap-1183	39	2	at	at	ADP
ap-1183	39	3	the	the	DET
ap-1183	39	4	conference	conference	NOUN
ap-1183	39	5	“	"	PUNCT
ap-1183	39	6	selected	select	VERB
ap-1183	39	7	topics	topic	NOUN
ap-1183	39	8	in	in	ADP
ap-1183	39	9	mathematical	mathematical	ADJ
ap-1183	39	10	and	and	CCONJ
ap-1183	39	11	particle	particle	NOUN
ap-1183	39	12	physics	physics	NOUN
ap-1183	39	13	”	"	PUNCT
ap-1183	39	14	,	,	PUNCT
ap-1183	39	15	in	in	ADP
ap-1183	39	16	honor	honor	NOUN
ap-1183	39	17	of	of	ADP
ap-1183	39	18	70th	70th	ADJ
ap-1183	39	19	birthday	birthday	NOUN
ap-1183	39	20	of	of	ADP
ap-1183	39	21	jiri	jiri	PROPN
ap-1183	39	22	niederle	niederle	PROPN
ap-1183	39	23	,	,	PUNCT
ap-1183	39	24	5–7	5–7	NUM
ap-1183	39	25	may	may	PROPN
ap-1183	39	26	2009	2009	NUM
ap-1183	39	27	,	,	PUNCT
ap-1183	39	28	prague	prague	NOUN
ap-1183	39	29	and	and	CCONJ
ap-1183	39	30	at	at	ADP
ap-1183	39	31	the	the	DET
ap-1183	39	32	xviii	xviii	PROPN
ap-1183	39	33	international	international	ADJ
ap-1183	39	34	colloquium	colloquium	NOUN
ap-1183	39	35	“	"	PUNCT
ap-1183	39	36	integrable	integrable	ADJ
ap-1183	39	37	systems	system	NOUN
ap-1183	39	38	and	and	CCONJ
ap-1183	39	39	quantum	quantum	NOUN
ap-1183	39	40	symmetries	symmetry	NOUN
ap-1183	39	41	”	"	PUNCT
ap-1183	39	42	,	,	PUNCT
ap-1183	39	43	18–20	18–20	NUM
ap-1183	39	44	june	june	PROPN
ap-1183	39	45	2009	2009	NUM
ap-1183	39	46	,	,	PUNCT
ap-1183	39	47	prague	prague	PROPN
ap-1183	39	48	,	,	PUNCT
ap-1183	39	49	czech	czech	PROPN
ap-1183	39	50	republic	republic	NOUN
ap-1183	39	51	.	.	PUNCT
ap-1183	40	1	23	23	NUM
ap-1183	40	2	acta	acta	PROPN
ap-1183	40	3	polytechnica	polytechnica	PROPN
ap-1183	40	4	vol	vol	NOUN
ap-1183	40	5	.	.	PROPN
ap-1183	41	1	50	50	NUM
ap-1183	41	2	no	no	NOUN
ap-1183	41	3	.	.	PUNCT
ap-1183	42	1	3/2010	3/2010	NUM
ap-1183	42	2	the	the	DET
ap-1183	42	3	action	action	NOUN
ap-1183	42	4	(	(	PUNCT
ap-1183	42	5	2.1	2.1	NUM
ap-1183	42	6	)	)	PUNCT
ap-1183	42	7	is	be	AUX
ap-1183	42	8	also	also	ADV
ap-1183	42	9	invariant	invariant	ADJ
ap-1183	42	10	with	with	ADP
ap-1183	42	11	respects	respect	NOUN
ap-1183	42	12	to	to	ADP
ap-1183	42	13	the	the	DET
ap-1183	42	14	local	local	ADJ
ap-1183	42	15	u(n	u(n	PROPN
ap-1183	42	16	)	)	PUNCT
ap-1183	42	17	invariance	invariance	NOUN
ap-1183	42	18	x	x	PUNCT
ap-1183	42	19	→	→	SYM
ap-1183	42	20	gxg†	gxg†	PROPN
ap-1183	42	21	,	,	PUNCT
ap-1183	42	22	z	z	NOUN
ap-1183	42	23	→	→	SYM
ap-1183	42	24	gz	gz	PROPN
ap-1183	42	25	,	,	PUNCT
ap-1183	42	26	a→	a→	PUNCT
ap-1183	42	27	gag†	gag†	PROPN
ap-1183	42	28	+	+	CCONJ
ap-1183	42	29	iġg†	iġg†	PROPN
ap-1183	42	30	,	,	PUNCT
ap-1183	42	31	(	(	PUNCT
ap-1183	42	32	2.3	2.3	NUM
ap-1183	42	33	)	)	PUNCT
ap-1183	42	34	where	where	SCONJ
ap-1183	42	35	g(τ	g(τ	PROPN
ap-1183	42	36	)	)	PUNCT
ap-1183	42	37	∈	∈	PROPN
ap-1183	42	38	u(n	u(n	PROPN
ap-1183	42	39	)	)	PUNCT
ap-1183	42	40	.	.	PUNCT
ap-1183	43	1	let	let	VERB
ap-1183	43	2	us	we	PRON
ap-1183	43	3	demonstrate	demonstrate	VERB
ap-1183	43	4	,	,	PUNCT
ap-1183	43	5	in	in	ADP
ap-1183	43	6	hamiltonian	hamiltonian	ADJ
ap-1183	43	7	formalism	formalism	NOUN
ap-1183	43	8	,	,	PUNCT
ap-1183	43	9	that	that	SCONJ
ap-1183	43	10	the	the	DET
ap-1183	43	11	gauge	gauge	ADJ
ap-1183	43	12	model	model	NOUN
ap-1183	43	13	(	(	PUNCT
ap-1183	43	14	2.1	2.1	NUM
ap-1183	43	15	)	)	PUNCT
ap-1183	43	16	is	be	AUX
ap-1183	43	17	equivalent	equivalent	ADJ
ap-1183	43	18	to	to	ADP
ap-1183	43	19	the	the	DET
ap-1183	43	20	standard	standard	ADJ
ap-1183	43	21	calogero	calogero	PROPN
ap-1183	43	22	system	system	NOUN
ap-1183	43	23	.	.	PUNCT
ap-1183	44	1	the	the	DET
ap-1183	44	2	definitions	definition	NOUN
ap-1183	44	3	of	of	ADP
ap-1183	44	4	the	the	DET
ap-1183	44	5	momenta	momenta	NOUN
ap-1183	44	6	,	,	PUNCT
ap-1183	44	7	corresponding	correspond	VERB
ap-1183	44	8	to	to	ADP
ap-1183	44	9	the	the	DET
ap-1183	44	10	action	action	NOUN
ap-1183	44	11	(	(	PUNCT
ap-1183	44	12	2.1	2.1	NUM
ap-1183	44	13	)	)	PUNCT
ap-1183	44	14	,	,	PUNCT
ap-1183	44	15	px	px	X
ap-1183	44	16	=	=	SYM
ap-1183	44	17	2∇x	2∇x	NUM
ap-1183	44	18	,	,	PUNCT
ap-1183	44	19	pz	pz	NOUN
ap-1183	45	1	=	=	SYM
ap-1183	45	2	i	i	PROPN
ap-1183	45	3	2	2	NUM
ap-1183	45	4	z̄	z̄	NOUN
ap-1183	45	5	,	,	PUNCT
ap-1183	45	6	p̄z	p̄z	NOUN
ap-1183	45	7	=	=	PUNCT
ap-1183	45	8	−	−	PROPN
ap-1183	45	9	i	i	PRON
ap-1183	45	10	2	2	NUM
ap-1183	45	11	z	z	NOUN
ap-1183	45	12	,	,	PUNCT
ap-1183	45	13	pa	pa	PROPN
ap-1183	45	14	=	=	SYM
ap-1183	45	15	0	0	NUM
ap-1183	45	16	(	(	PUNCT
ap-1183	45	17	2.4	2.4	NUM
ap-1183	45	18	)	)	PUNCT
ap-1183	45	19	imply	imply	VERB
ap-1183	45	20	the	the	DET
ap-1183	45	21	primary	primary	ADJ
ap-1183	45	22	constraints	constraint	NOUN
ap-1183	45	23	a	a	PRON
ap-1183	45	24	)	)	PUNCT
ap-1183	45	25	g	g	PROPN
ap-1183	45	26	≡	≡	PROPN
ap-1183	45	27	pz	pz	PROPN
ap-1183	46	1	−	−	PROPN
ap-1183	46	2	i	i	NOUN
ap-1183	46	3	2	2	NUM
ap-1183	46	4	z̄	z̄	NOUN
ap-1183	46	5	≈	≈	PROPN
ap-1183	46	6	0	0	NUM
ap-1183	46	7	,	,	PUNCT
ap-1183	46	8	ḡ	ḡ	VERB
ap-1183	46	9	≡	≡	PROPN
ap-1183	46	10	p̄z	p̄z	PROPN
ap-1183	47	1	+	+	CCONJ
ap-1183	47	2	i	i	NOUN
ap-1183	47	3	2	2	NUM
ap-1183	47	4	z	z	NOUN
ap-1183	47	5	≈	≈	PROPN
ap-1183	47	6	0	0	NUM
ap-1183	47	7	;	;	PUNCT
ap-1183	47	8	b	b	X
ap-1183	47	9	)	)	PUNCT
ap-1183	47	10	pa	pa	PROPN
ap-1183	48	1	≈	≈	PROPN
ap-1183	48	2	0	0	NUM
ap-1183	48	3	(	(	PUNCT
ap-1183	48	4	2.5	2.5	NUM
ap-1183	48	5	)	)	PUNCT
ap-1183	49	1	and	and	CCONJ
ap-1183	49	2	give	give	VERB
ap-1183	49	3	us	we	PRON
ap-1183	49	4	the	the	DET
ap-1183	49	5	following	follow	VERB
ap-1183	49	6	expression	expression	NOUN
ap-1183	49	7	for	for	ADP
ap-1183	49	8	the	the	DET
ap-1183	49	9	canonical	canonical	ADJ
ap-1183	49	10	hamiltonian	hamiltonian	ADJ
ap-1183	49	11	h	h	NOUN
ap-1183	50	1	=	=	NOUN
ap-1183	50	2	1	1	NUM
ap-1183	50	3	4	4	NUM
ap-1183	50	4	tr	tr	VERB
ap-1183	50	5	(	(	PUNCT
ap-1183	50	6	pxpx)−	pxpx)−	PROPN
ap-1183	50	7	tr	tr	ADV
ap-1183	50	8	(	(	PUNCT
ap-1183	50	9	at	at	ADP
ap-1183	50	10	)	)	PUNCT
ap-1183	50	11	,	,	PUNCT
ap-1183	50	12	(	(	PUNCT
ap-1183	50	13	2.6	2.6	NUM
ap-1183	50	14	)	)	PUNCT
ap-1183	50	15	where	where	SCONJ
ap-1183	50	16	matrix	matrix	NOUN
ap-1183	50	17	quantity	quantity	NOUN
ap-1183	50	18	t	t	PROPN
ap-1183	50	19	is	be	AUX
ap-1183	50	20	defined	define	VERB
ap-1183	50	21	as	as	ADP
ap-1183	50	22	t	t	PROPN
ap-1183	50	23	≡	≡	PROPN
ap-1183	50	24	i[x	i[x	PROPN
ap-1183	50	25	,	,	PUNCT
ap-1183	50	26	px]−	px]−	PROPN
ap-1183	50	27	z	z	NOUN
ap-1183	50	28	·	·	PUNCT
ap-1183	50	29	z̄	z̄	PROPN
ap-1183	50	30	+	+	CCONJ
ap-1183	50	31	cin	cin	PROPN
ap-1183	50	32	.	.	PUNCT
ap-1183	51	1	(	(	PUNCT
ap-1183	51	2	2.7	2.7	NUM
ap-1183	51	3	)	)	PUNCT
ap-1183	51	4	the	the	DET
ap-1183	51	5	preservation	preservation	NOUN
ap-1183	51	6	of	of	ADP
ap-1183	51	7	the	the	DET
ap-1183	51	8	constraints	constraint	NOUN
ap-1183	51	9	(	(	PUNCT
ap-1183	51	10	2.5b	2.5b	NUM
ap-1183	51	11	)	)	PUNCT
ap-1183	51	12	in	in	ADP
ap-1183	51	13	time	time	NOUN
ap-1183	51	14	leads	lead	VERB
ap-1183	51	15	to	to	ADP
ap-1183	51	16	the	the	DET
ap-1183	51	17	secondary	secondary	ADJ
ap-1183	51	18	constraints	constraint	NOUN
ap-1183	51	19	t	t	PROPN
ap-1183	51	20	≈	≈	PROPN
ap-1183	51	21	0	0	NUM
ap-1183	51	22	.	.	PUNCT
ap-1183	52	1	(	(	PUNCT
ap-1183	52	2	2.8	2.8	NUM
ap-1183	52	3	)	)	PUNCT
ap-1183	52	4	the	the	DET
ap-1183	52	5	gauge	gauge	NOUN
ap-1183	52	6	fields	field	VERB
ap-1183	52	7	a	a	DET
ap-1183	52	8	play	play	NOUN
ap-1183	52	9	the	the	DET
ap-1183	52	10	role	role	NOUN
ap-1183	52	11	of	of	ADP
ap-1183	52	12	the	the	DET
ap-1183	52	13	lagrange	lagrange	NOUN
ap-1183	52	14	multipliers	multiplier	NOUN
ap-1183	52	15	for	for	ADP
ap-1183	52	16	these	these	DET
ap-1183	52	17	constraints	constraint	NOUN
ap-1183	52	18	.	.	PUNCT
ap-1183	53	1	using	use	VERB
ap-1183	53	2	canonical	canonical	ADJ
ap-1183	53	3	poisson	poisson	NOUN
ap-1183	53	4	brackets	bracket	NOUN
ap-1183	53	5	[	[	X
ap-1183	53	6	xb	xb	X
ap-1183	53	7	a	a	X
ap-1183	53	8	,	,	PUNCT
ap-1183	53	9	px	px	PROPN
ap-1183	53	10	d	d	X
ap-1183	53	11	c	c	NOUN
ap-1183	53	12	]	]	X
ap-1183	53	13	p	p	X
ap-1183	53	14	=	=	PUNCT
ap-1183	53	15	δd	δd	X
ap-1183	53	16	aδb	aδb	NOUN
ap-1183	53	17	c	c	NOUN
ap-1183	53	18	,	,	PUNCT
ap-1183	54	1	[	[	X
ap-1183	54	2	za	za	PROPN
ap-1183	54	3	,	,	PUNCT
ap-1183	54	4	p	p	PROPN
ap-1183	54	5	b	b	PROPN
ap-1183	54	6	z	z	X
ap-1183	54	7	]	]	X
ap-1183	55	1	p	p	X
ap-1183	55	2	=	=	PUNCT
ap-1183	55	3	δb	δb	NOUN
ap-1183	55	4	a	a	PRON
ap-1183	55	5	,	,	PUNCT
ap-1183	55	6	[	[	X
ap-1183	55	7	z̄	z̄	X
ap-1183	55	8	a	a	PRON
ap-1183	55	9	,	,	PUNCT
ap-1183	55	10	p̄z	p̄z	ADJ
ap-1183	55	11	b]p	b]p	X
ap-1183	55	12	=	=	PUNCT
ap-1183	55	13	δa	δa	PROPN
ap-1183	55	14	b	b	NOUN
ap-1183	55	15	,	,	PUNCT
ap-1183	55	16	we	we	PRON
ap-1183	55	17	obtain	obtain	VERB
ap-1183	55	18	the	the	DET
ap-1183	55	19	poisson	poisson	NOUN
ap-1183	55	20	brackets	bracket	NOUN
ap-1183	55	21	of	of	ADP
ap-1183	55	22	the	the	DET
ap-1183	55	23	constraints	constraint	NOUN
ap-1183	55	24	(	(	PUNCT
ap-1183	55	25	2.5a	2.5a	NUM
ap-1183	55	26	)	)	PUNCT
ap-1183	56	1	[	[	X
ap-1183	56	2	ga	ga	PROPN
ap-1183	56	3	,	,	PUNCT
ap-1183	56	4	ḡb]p	ḡb]p	PROPN
ap-1183	56	5	=	=	PUNCT
ap-1183	56	6	−iδa	−iδa	NUM
ap-1183	56	7	b	b	PROPN
ap-1183	56	8	.	.	PUNCT
ap-1183	56	9	(	(	PUNCT
ap-1183	56	10	2.9	2.9	NUM
ap-1183	56	11	)	)	PUNCT
ap-1183	56	12	dirac	dirac	NOUN
ap-1183	56	13	brackets	bracket	NOUN
ap-1183	56	14	for	for	ADP
ap-1183	56	15	these	these	DET
ap-1183	56	16	second	second	ADJ
ap-1183	56	17	class	class	NOUN
ap-1183	56	18	constraints	constraint	NOUN
ap-1183	56	19	(	(	PUNCT
ap-1183	56	20	2.5a	2.5a	NOUN
ap-1183	56	21	)	)	PUNCT
ap-1183	56	22	eliminate	eliminate	VERB
ap-1183	56	23	spinor	spinor	NOUN
ap-1183	56	24	momenta	momenta	PROPN
ap-1183	56	25	pz	pz	PROPN
ap-1183	56	26	,	,	PUNCT
ap-1183	56	27	p̄z	p̄z	NOUN
ap-1183	56	28	from	from	ADP
ap-1183	56	29	the	the	DET
ap-1183	56	30	phase	phase	NOUN
ap-1183	56	31	space	space	NOUN
ap-1183	56	32	.	.	PUNCT
ap-1183	57	1	the	the	DET
ap-1183	57	2	dirac	dirac	NOUN
ap-1183	57	3	brackets	bracket	NOUN
ap-1183	57	4	for	for	ADP
ap-1183	57	5	the	the	DET
ap-1183	57	6	residual	residual	ADJ
ap-1183	57	7	variables	variable	NOUN
ap-1183	57	8	take	take	VERB
ap-1183	57	9	the	the	DET
ap-1183	57	10	form	form	NOUN
ap-1183	57	11	[	[	X
ap-1183	57	12	xb	xb	X
ap-1183	57	13	a	a	X
ap-1183	57	14	,	,	PUNCT
ap-1183	57	15	px	px	PROPN
ap-1183	57	16	d	d	X
ap-1183	57	17	c	c	NOUN
ap-1183	58	1	]	]	X
ap-1183	58	2	d	d	X
ap-1183	58	3	=	=	PUNCT
ap-1183	58	4	δd	δd	X
ap-1183	58	5	aδb	aδb	NOUN
ap-1183	58	6	c	c	PROPN
ap-1183	58	7	,	,	PUNCT
ap-1183	59	1	[	[	X
ap-1183	59	2	za	za	PROPN
ap-1183	59	3	,	,	PUNCT
ap-1183	59	4	z̄b	z̄b	PROPN
ap-1183	59	5	]	]	X
ap-1183	59	6	d	d	NOUN
ap-1183	59	7	=	=	PUNCT
ap-1183	59	8	−i	−i	PROPN
ap-1183	59	9	δb	δb	VERB
ap-1183	59	10	a	a	PRON
ap-1183	59	11	.	.	PUNCT
ap-1183	60	1	(	(	PUNCT
ap-1183	60	2	2.10	2.10	NUM
ap-1183	60	3	)	)	PUNCT
ap-1183	60	4	the	the	DET
ap-1183	60	5	residual	residual	ADJ
ap-1183	60	6	constraints	constraint	NOUN
ap-1183	60	7	(	(	PUNCT
ap-1183	60	8	2.8	2.8	NUM
ap-1183	60	9	)	)	PUNCT
ap-1183	60	10	t	t	NOUN
ap-1183	60	11	=	=	PUNCT
ap-1183	60	12	t+	t+	NOUN
ap-1183	60	13	form	form	VERB
ap-1183	60	14	the	the	DET
ap-1183	60	15	u(n	u(n	PROPN
ap-1183	60	16	)	)	PUNCT
ap-1183	60	17	algebra	algebra	NOUN
ap-1183	60	18	with	with	ADP
ap-1183	60	19	respect	respect	NOUN
ap-1183	60	20	to	to	ADP
ap-1183	60	21	the	the	DET
ap-1183	60	22	dirac	dirac	NOUN
ap-1183	60	23	brackets	bracket	NOUN
ap-1183	61	1	[	[	X
ap-1183	61	2	t	t	X
ap-1183	61	3	b	b	X
ap-1183	61	4	a	a	PRON
ap-1183	61	5	,	,	PUNCT
ap-1183	61	6	t	t	PROPN
ap-1183	61	7	d	d	X
ap-1183	61	8	c	c	X
ap-1183	61	9	]	]	X
ap-1183	61	10	d	d	X
ap-1183	61	11	=	=	PUNCT
ap-1183	61	12	i(δd	i(δd	PROPN
ap-1183	61	13	at	at	ADP
ap-1183	61	14	b	b	PROPN
ap-1183	61	15	c	c	NOUN
ap-1183	61	16	−	−	PROPN
ap-1183	61	17	δb	δb	NOUN
ap-1183	61	18	ct	ct	NOUN
ap-1183	61	19	d	d	NOUN
ap-1183	61	20	a	a	NOUN
ap-1183	61	21	)	)	PUNCT
ap-1183	61	22	(	(	PUNCT
ap-1183	61	23	2.11	2.11	NUM
ap-1183	61	24	)	)	PUNCT
ap-1183	61	25	and	and	CCONJ
ap-1183	61	26	generate	generate	VERB
ap-1183	61	27	gauge	gauge	NOUN
ap-1183	61	28	transformations	transformation	NOUN
ap-1183	61	29	(	(	PUNCT
ap-1183	61	30	2.3	2.3	NUM
ap-1183	61	31	)	)	PUNCT
ap-1183	61	32	.	.	PUNCT
ap-1183	62	1	let	let	VERB
ap-1183	62	2	us	we	PRON
ap-1183	62	3	fix	fix	VERB
ap-1183	62	4	the	the	DET
ap-1183	62	5	gauges	gauge	NOUN
ap-1183	62	6	for	for	ADP
ap-1183	62	7	these	these	DET
ap-1183	62	8	transformations	transformation	NOUN
ap-1183	62	9	.	.	PUNCT
ap-1183	63	1	in	in	ADP
ap-1183	63	2	the	the	DET
ap-1183	63	3	notations	notation	NOUN
ap-1183	63	4	xa	xa	PROPN
ap-1183	63	5	≡	≡	PROPN
ap-1183	63	6	xa	xa	PROPN
ap-1183	63	7	a	a	PRON
ap-1183	63	8	,	,	PUNCT
ap-1183	63	9	pa	pa	PROPN
ap-1183	63	10	≡	≡	PROPN
ap-1183	63	11	px	px	VERB
ap-1183	63	12	a	a	DET
ap-1183	63	13	a	a	DET
ap-1183	63	14	(	(	PUNCT
ap-1183	63	15	no	no	DET
ap-1183	63	16	summation	summation	NOUN
ap-1183	63	17	over	over	ADP
ap-1183	63	18	a	a	PRON
ap-1183	63	19	)	)	PUNCT
ap-1183	63	20	;	;	PUNCT
ap-1183	63	21	xb	xb	PROPN
ap-1183	63	22	a	a	DET
ap-1183	63	23	≡	≡	PROPN
ap-1183	63	24	xb	xb	PROPN
ap-1183	64	1	a	a	PRON
ap-1183	64	2	,	,	PUNCT
ap-1183	64	3	pb	pb	ADP
ap-1183	64	4	a	a	DET
ap-1183	64	5	≡	≡	PROPN
ap-1183	64	6	px	px	PROPN
ap-1183	64	7	b	b	PROPN
ap-1183	64	8	a	a	PRON
ap-1183	64	9	for	for	ADP
ap-1183	64	10	a	a	DET
ap-1183	64	11	�	�	PROPN
ap-1183	64	12	=	=	SYM
ap-1183	64	13	b	b	NOUN
ap-1183	64	14	the	the	DET
ap-1183	64	15	constraints	constraint	NOUN
ap-1183	64	16	(	(	PUNCT
ap-1183	64	17	2.7	2.7	NUM
ap-1183	64	18	)	)	PUNCT
ap-1183	64	19	take	take	VERB
ap-1183	64	20	the	the	DET
ap-1183	64	21	form	form	NOUN
ap-1183	64	22	t	t	PROPN
ap-1183	64	23	b	b	PROPN
ap-1183	64	24	a	a	DET
ap-1183	64	25	=	=	X
ap-1183	64	26	i(xa	i(xa	ADJ
ap-1183	64	27	−	−	PROPN
ap-1183	64	28	xb)pb	xb)pb	PUNCT
ap-1183	65	1	a	a	DET
ap-1183	65	2	−	−	PROPN
ap-1183	65	3	i(pa	i(pa	NOUN
ap-1183	65	4	−	−	NOUN
ap-1183	65	5	pb)xb	pb)xb	ADP
ap-1183	65	6	a	a	DET
ap-1183	65	7	+	+	X
ap-1183	65	8	(	(	PUNCT
ap-1183	65	9	2.12	2.12	NUM
ap-1183	65	10	)	)	PUNCT
ap-1183	65	11	i	i	PRON
ap-1183	65	12	∑	∑	PUNCT
ap-1183	65	13	c	c	PROPN
ap-1183	65	14	(	(	PUNCT
ap-1183	65	15	xc	xc	PROPN
ap-1183	66	1	apb	apb	PROPN
ap-1183	66	2	c	c	PROPN
ap-1183	66	3	−	−	PROPN
ap-1183	66	4	pc	pc	PROPN
ap-1183	66	5	axb	axb	PROPN
ap-1183	66	6	c)−	c)−	PROPN
ap-1183	66	7	zaz̄b	zaz̄b	PROPN
ap-1183	66	8	≈	≈	PROPN
ap-1183	66	9	0	0	NUM
ap-1183	66	10	for	for	ADP
ap-1183	66	11	a	a	DET
ap-1183	66	12	�	�	PROPN
ap-1183	66	13	=	=	SYM
ap-1183	66	14	b	b	PROPN
ap-1183	66	15	,	,	PUNCT
ap-1183	66	16	t	t	PROPN
ap-1183	66	17	a	a	DET
ap-1183	66	18	a	a	PRON
ap-1183	66	19	=	=	X
ap-1183	66	20	i	i	PRON
ap-1183	66	21	∑	∑	PROPN
ap-1183	66	22	c	c	PROPN
ap-1183	66	23	(	(	PUNCT
ap-1183	66	24	xc	xc	PROPN
ap-1183	66	25	apa	apa	PROPN
ap-1183	67	1	c	c	PROPN
ap-1183	68	1	−	−	PROPN
ap-1183	68	2	pc	pc	NOUN
ap-1183	68	3	axa	axa	NOUN
ap-1183	68	4	c	c	NOUN
ap-1183	68	5	)	)	PUNCT
ap-1183	68	6	−	−	PROPN
ap-1183	68	7	zaz̄a	zaz̄a	NUM
ap-1183	69	1	+	+	CCONJ
ap-1183	69	2	c	c	PROPN
ap-1183	70	1	≈	≈	PROPN
ap-1183	70	2	0	0	NUM
ap-1183	70	3	(	(	PUNCT
ap-1183	70	4	2.13	2.13	NUM
ap-1183	70	5	)	)	PUNCT
ap-1183	70	6	(	(	PUNCT
ap-1183	70	7	no	no	DET
ap-1183	70	8	summation	summation	NOUN
ap-1183	70	9	over	over	ADP
ap-1183	70	10	a	a	PRON
ap-1183	70	11	)	)	PUNCT
ap-1183	70	12	.	.	PUNCT
ap-1183	71	1	the	the	DET
ap-1183	71	2	non	non	ADJ
ap-1183	71	3	-	-	ADJ
ap-1183	71	4	diagonal	diagonal	ADJ
ap-1183	71	5	constraints	constraint	NOUN
ap-1183	71	6	(	(	PUNCT
ap-1183	71	7	2.12	2.12	NUM
ap-1183	71	8	)	)	PUNCT
ap-1183	71	9	generate	generate	VERB
ap-1183	71	10	the	the	DET
ap-1183	71	11	transformations	transformation	NOUN
ap-1183	71	12	δxb	δxb	NOUN
ap-1183	72	1	a	a	PRON
ap-1183	72	2	=	=	X
ap-1183	73	1	[	[	X
ap-1183	73	2	x	x	X
ap-1183	73	3	b	b	X
ap-1183	73	4	a	a	NOUN
ap-1183	73	5	,	,	PUNCT
ap-1183	73	6	εa	εa	NOUN
ap-1183	73	7	bt	bt	NOUN
ap-1183	73	8	a	a	DET
ap-1183	73	9	b	b	NOUN
ap-1183	73	10	]	]	X
ap-1183	73	11	d	d	X
ap-1183	73	12	∼	∼	NOUN
ap-1183	73	13	i(xa	i(xa	NOUN
ap-1183	73	14	−	−	PROPN
ap-1183	74	1	xb)εa	xb)εa	PROPN
ap-1183	74	2	b	b	PROPN
ap-1183	74	3	.	.	PUNCT
ap-1183	75	1	therefore	therefore	ADV
ap-1183	75	2	,	,	PUNCT
ap-1183	75	3	in	in	ADP
ap-1183	75	4	case	case	NOUN
ap-1183	75	5	of	of	ADP
ap-1183	75	6	the	the	DET
ap-1183	75	7	calogero	calogero	NOUN
ap-1183	75	8	-	-	PUNCT
ap-1183	75	9	like	like	ADJ
ap-1183	75	10	condition	condition	NOUN
ap-1183	75	11	xa	xa	PROPN
ap-1183	75	12	�	�	PROPN
ap-1183	75	13	=	=	PROPN
ap-1183	75	14	xb	xb	PROPN
ap-1183	75	15	,	,	PUNCT
ap-1183	75	16	we	we	PRON
ap-1183	75	17	can	can	AUX
ap-1183	75	18	impose	impose	VERB
ap-1183	75	19	the	the	DET
ap-1183	75	20	gauge	gauge	NOUN
ap-1183	75	21	xb	xb	PROPN
ap-1183	76	1	a	a	DET
ap-1183	76	2	≈	≈	PROPN
ap-1183	76	3	0	0	NUM
ap-1183	76	4	.	.	PUNCT
ap-1183	77	1	(	(	PUNCT
ap-1183	77	2	2.14	2.14	NUM
ap-1183	77	3	)	)	PUNCT
ap-1183	77	4	then	then	ADV
ap-1183	77	5	we	we	PRON
ap-1183	77	6	introduce	introduce	VERB
ap-1183	77	7	dirac	dirac	NOUN
ap-1183	77	8	brackets	bracket	NOUN
ap-1183	77	9	for	for	ADP
ap-1183	77	10	the	the	DET
ap-1183	77	11	constraints	constraint	NOUN
ap-1183	77	12	(	(	PUNCT
ap-1183	77	13	2.12	2.12	NUM
ap-1183	77	14	)	)	PUNCT
ap-1183	77	15	,	,	PUNCT
ap-1183	77	16	(	(	PUNCT
ap-1183	77	17	2.14	2.14	NUM
ap-1183	77	18	)	)	PUNCT
ap-1183	77	19	and	and	CCONJ
ap-1183	77	20	eliminate	eliminate	VERB
ap-1183	77	21	xb	xb	PROPN
ap-1183	77	22	a	a	PRON
ap-1183	77	23	,	,	PUNCT
ap-1183	77	24	pb	pb	ADP
ap-1183	77	25	a.	a.	NOUN
ap-1183	77	26	in	in	ADP
ap-1183	77	27	particular	particular	ADJ
ap-1183	77	28	,	,	PUNCT
ap-1183	77	29	the	the	DET
ap-1183	77	30	resolved	resolved	ADJ
ap-1183	77	31	expression	expression	NOUN
ap-1183	77	32	for	for	ADP
ap-1183	77	33	pb	pb	ADP
ap-1183	77	34	a	a	PRON
ap-1183	77	35	is	be	AUX
ap-1183	77	36	pb	pb	ADP
ap-1183	77	37	a	a	PRON
ap-1183	77	38	=	=	SYM
ap-1183	77	39	−	−	PROPN
ap-1183	78	1	i	i	PRON
ap-1183	78	2	(	(	PUNCT
ap-1183	78	3	xa	xa	PROPN
ap-1183	78	4	−	−	PROPN
ap-1183	78	5	xb	xb	PROPN
ap-1183	78	6	)	)	PUNCT
ap-1183	78	7	zaz̄	zaz̄	PROPN
ap-1183	79	1	b	b	X
ap-1183	79	2	.	.	PUNCT
ap-1183	80	1	(	(	PUNCT
ap-1183	80	2	2.15	2.15	NUM
ap-1183	80	3	)	)	PUNCT
ap-1183	80	4	the	the	DET
ap-1183	80	5	dirac	dirac	NOUN
ap-1183	80	6	brackets	bracket	NOUN
ap-1183	80	7	of	of	ADP
ap-1183	80	8	residual	residual	ADJ
ap-1183	80	9	variables	variable	NOUN
ap-1183	80	10	coincide	coincide	VERB
ap-1183	80	11	with	with	ADP
ap-1183	80	12	poisson	poisson	PROPN
ap-1183	80	13	ones	one	NOUN
ap-1183	80	14	due	due	ADJ
ap-1183	80	15	to	to	ADP
ap-1183	80	16	the	the	DET
ap-1183	80	17	resolved	resolve	VERB
ap-1183	80	18	form	form	NOUN
ap-1183	80	19	of	of	ADP
ap-1183	80	20	the	the	DET
ap-1183	80	21	gauge	gauge	NOUN
ap-1183	80	22	fixing	fix	VERB
ap-1183	80	23	condition	condition	NOUN
ap-1183	80	24	(	(	PUNCT
ap-1183	80	25	2.14	2.14	NUM
ap-1183	80	26	)	)	PUNCT
ap-1183	80	27	.	.	PUNCT
ap-1183	81	1	after	after	ADP
ap-1183	81	2	gauge	gauge	NOUN
ap-1183	81	3	-	-	PUNCT
ap-1183	81	4	fixing	fix	VERB
ap-1183	81	5	(	(	PUNCT
ap-1183	81	6	2.14	2.14	NUM
ap-1183	81	7	)	)	PUNCT
ap-1183	81	8	,	,	PUNCT
ap-1183	81	9	the	the	DET
ap-1183	81	10	constraints	constraint	NOUN
ap-1183	81	11	(	(	PUNCT
ap-1183	81	12	2.13	2.13	NUM
ap-1183	81	13	)	)	PUNCT
ap-1183	81	14	become	become	VERB
ap-1183	81	15	zaz̄	zaz̄	NOUN
ap-1183	82	1	a	a	DET
ap-1183	82	2	−	−	NOUN
ap-1183	82	3	c	c	NOUN
ap-1183	83	1	≈	≈	PROPN
ap-1183	83	2	0	0	NUM
ap-1183	83	3	(	(	PUNCT
ap-1183	83	4	no	no	DET
ap-1183	83	5	summation	summation	NOUN
ap-1183	83	6	over	over	ADP
ap-1183	83	7	a	a	PRON
ap-1183	83	8	)	)	PUNCT
ap-1183	83	9	(	(	PUNCT
ap-1183	83	10	2.16	2.16	NUM
ap-1183	83	11	)	)	PUNCT
ap-1183	83	12	and	and	CCONJ
ap-1183	83	13	generate	generate	VERB
ap-1183	83	14	local	local	ADJ
ap-1183	83	15	phase	phase	NOUN
ap-1183	83	16	transformations	transformation	NOUN
ap-1183	83	17	of	of	ADP
ap-1183	83	18	za	za	PROPN
ap-1183	83	19	.	.	PUNCT
ap-1183	84	1	for	for	ADP
ap-1183	84	2	these	these	DET
ap-1183	84	3	gauge	gauge	ADJ
ap-1183	84	4	transformations	transformation	NOUN
ap-1183	84	5	we	we	PRON
ap-1183	84	6	impose	impose	VERB
ap-1183	84	7	the	the	DET
ap-1183	84	8	gauge	gauge	NOUN
ap-1183	84	9	za	za	PROPN
ap-1183	84	10	−	−	PROPN
ap-1183	84	11	z̄a	z̄a	PROPN
ap-1183	84	12	≈	≈	PROPN
ap-1183	84	13	0	0	NUM
ap-1183	84	14	.	.	PUNCT
ap-1183	85	1	(	(	PUNCT
ap-1183	85	2	2.17	2.17	NUM
ap-1183	85	3	)	)	PUNCT
ap-1183	85	4	the	the	DET
ap-1183	85	5	conditions	condition	NOUN
ap-1183	85	6	(	(	PUNCT
ap-1183	85	7	2.16	2.16	NUM
ap-1183	85	8	)	)	PUNCT
ap-1183	85	9	and	and	CCONJ
ap-1183	85	10	(	(	PUNCT
ap-1183	85	11	2.17	2.17	NUM
ap-1183	85	12	)	)	PUNCT
ap-1183	85	13	eliminate	eliminate	VERB
ap-1183	85	14	za	za	PROPN
ap-1183	85	15	and	and	CCONJ
ap-1183	85	16	z̄a	z̄a	PROPN
ap-1183	85	17	completely	completely	ADV
ap-1183	85	18	.	.	PUNCT
ap-1183	86	1	finally	finally	ADV
ap-1183	86	2	,	,	PUNCT
ap-1183	86	3	using	use	VERB
ap-1183	86	4	the	the	DET
ap-1183	86	5	expressions	expression	NOUN
ap-1183	86	6	(	(	PUNCT
ap-1183	86	7	2.15	2.15	NUM
ap-1183	86	8	)	)	PUNCT
ap-1183	86	9	and	and	CCONJ
ap-1183	86	10	the	the	DET
ap-1183	86	11	conditions	condition	NOUN
ap-1183	86	12	(	(	PUNCT
ap-1183	86	13	2.14	2.14	NUM
ap-1183	86	14	)	)	PUNCT
ap-1183	86	15	,	,	PUNCT
ap-1183	86	16	(	(	PUNCT
ap-1183	86	17	2.16	2.16	NUM
ap-1183	86	18	)	)	PUNCT
ap-1183	86	19	we	we	PRON
ap-1183	86	20	obtain	obtain	VERB
ap-1183	86	21	the	the	DET
ap-1183	86	22	following	follow	VERB
ap-1183	86	23	expression	expression	NOUN
ap-1183	86	24	for	for	ADP
ap-1183	86	25	the	the	DET
ap-1183	86	26	hamiltonian	hamiltonian	NOUN
ap-1183	86	27	(	(	PUNCT
ap-1183	86	28	2.6	2.6	NUM
ap-1183	86	29	)	)	PUNCT
ap-1183	86	30	h0	h0	NOUN
ap-1183	86	31	=	=	NOUN
ap-1183	86	32	1	1	NUM
ap-1183	86	33	4	4	NUM
ap-1183	86	34	tr	tr	NOUN
ap-1183	86	35	(	(	PUNCT
ap-1183	86	36	pxpx	pxpx	PROPN
ap-1183	86	37	)	)	PUNCT
ap-1183	86	38	=	=	SYM
ap-1183	86	39	1	1	NUM
ap-1183	86	40	4	4	NUM
ap-1183	86	41	⎛⎝∑	⎛⎝∑	NOUN
ap-1183	86	42	a	a	PRON
ap-1183	86	43	(	(	PUNCT
ap-1183	86	44	pa)2	pa)2	PROPN
ap-1183	86	45	+	+	CCONJ
ap-1183	86	46	∑	∑	PROPN
ap-1183	86	47	a	a	DET
ap-1183	86	48	�	�	PROPN
ap-1183	86	49	=b	=b	VERB
ap-1183	86	50	c2	c2	PROPN
ap-1183	86	51	(	(	PUNCT
ap-1183	86	52	xa	xa	PROPN
ap-1183	86	53	−	−	PROPN
ap-1183	86	54	xb)2	xb)2	PROPN
ap-1183	86	55	⎞⎠	⎞⎠	PROPN
ap-1183	86	56	,	,	PUNCT
ap-1183	86	57	(	(	PUNCT
ap-1183	86	58	2.18	2.18	NUM
ap-1183	86	59	)	)	PUNCT
ap-1183	86	60	which	which	PRON
ap-1183	86	61	corresponds	correspond	VERB
ap-1183	86	62	to	to	ADP
ap-1183	86	63	the	the	DET
ap-1183	86	64	standard	standard	ADJ
ap-1183	86	65	calogero	calogero	PROPN
ap-1183	86	66	action	action	NOUN
ap-1183	87	1	[	[	X
ap-1183	87	2	1	1	NUM
ap-1183	87	3	]	]	X
ap-1183	87	4	s0	s0	NOUN
ap-1183	87	5	=	=	SYM
ap-1183	87	6	∫	∫	PROPN
ap-1183	88	1	dt	dt	X
ap-1183	89	1	[	[	X
ap-1183	89	2	∑	∑	PUNCT
ap-1183	89	3	a	a	DET
ap-1183	89	4	ẋaẋa	ẋaẋa	PROPN
ap-1183	89	5	−	−	ADP
ap-1183	89	6	∑	∑	PROPN
ap-1183	89	7	a	a	DET
ap-1183	89	8	�	�	PROPN
ap-1183	89	9	=b	=b	VERB
ap-1183	89	10	c2	c2	PROPN
ap-1183	89	11	4(xa	4(xa	NUM
ap-1183	89	12	−	−	PROPN
ap-1183	90	1	xb)2	xb)2	PROPN
ap-1183	90	2	]	]	PUNCT
ap-1183	90	3	.	.	PUNCT
ap-1183	91	1	(	(	PUNCT
ap-1183	91	2	2.19	2.19	NUM
ap-1183	91	3	)	)	PUNCT
ap-1183	91	4	3	3	NUM
ap-1183	91	5	n	n	NOUN
ap-1183	91	6	=	=	SYM
ap-1183	91	7	2	2	NUM
ap-1183	91	8	superconformal	superconformal	ADJ
ap-1183	91	9	calogero	calogero	PROPN
ap-1183	91	10	model	model	NOUN
ap-1183	91	11	n	n	PROPN
ap-1183	91	12	=	=	SYM
ap-1183	91	13	2	2	NUM
ap-1183	91	14	supersymmetric	supersymmetric	ADJ
ap-1183	91	15	generalization	generalization	NOUN
ap-1183	91	16	of	of	ADP
ap-1183	91	17	the	the	DET
ap-1183	91	18	system	system	NOUN
ap-1183	91	19	(	(	PUNCT
ap-1183	91	20	2.1	2.1	NUM
ap-1183	91	21	)	)	PUNCT
ap-1183	91	22	is	be	AUX
ap-1183	91	23	described	describe	VERB
ap-1183	91	24	by	by	ADP
ap-1183	91	25	•	•	NOUN
ap-1183	91	26	the	the	DET
ap-1183	91	27	even	even	ADV
ap-1183	91	28	hermitian	hermitian	ADJ
ap-1183	91	29	(	(	PUNCT
ap-1183	91	30	n	n	CCONJ
ap-1183	91	31	×	×	NOUN
ap-1183	91	32	n)-matrix	n)-matrix	PUNCT
ap-1183	91	33	superfield	superfield	NOUN
ap-1183	91	34	x	x	SYM
ap-1183	91	35	b	b	X
ap-1183	91	36	a	a	DET
ap-1183	91	37	(	(	PUNCT
ap-1183	91	38	t	t	PROPN
ap-1183	91	39	,	,	PUNCT
ap-1183	91	40	θ	θ	PROPN
ap-1183	91	41	,	,	PUNCT
ap-1183	91	42	θ̄	θ̄	ADJ
ap-1183	91	43	)	)	PUNCT
ap-1183	91	44	,	,	PUNCT
ap-1183	91	45	(	(	PUNCT
ap-1183	91	46	x	x	X
ap-1183	91	47	)	)	PUNCT
ap-1183	92	1	+	+	SYM
ap-1183	92	2	=	=	SYM
ap-1183	92	3	x	x	X
ap-1183	92	4	,	,	PUNCT
ap-1183	92	5	a	a	PRON
ap-1183	92	6	,	,	PUNCT
ap-1183	92	7	b	b	NOUN
ap-1183	92	8	=	=	SYM
ap-1183	92	9	1	1	NUM
ap-1183	92	10	,	,	PUNCT
ap-1183	92	11	.	.	PUNCT
ap-1183	92	12	.	.	PUNCT
ap-1183	93	1	.	.	PUNCT
ap-1183	94	1	,	,	PUNCT
ap-1183	95	1	n	n	PRON
ap-1183	96	1	[	[	X
ap-1183	96	2	supermultiplets	supermultiplet	NOUN
ap-1183	96	3	(	(	PUNCT
ap-1183	96	4	1,2,1	1,2,1	NUM
ap-1183	96	5	)	)	PUNCT
ap-1183	96	6	]	]	PUNCT
ap-1183	96	7	;	;	PUNCT
ap-1183	96	8	24	24	NUM
ap-1183	96	9	acta	acta	PROPN
ap-1183	96	10	polytechnica	polytechnica	PROPN
ap-1183	96	11	vol	vol	NOUN
ap-1183	96	12	.	.	PROPN
ap-1183	97	1	50	50	NUM
ap-1183	97	2	no	no	NOUN
ap-1183	97	3	.	.	PUNCT
ap-1183	98	1	3/2010	3/2010	NUM
ap-1183	98	2	•	•	NUM
ap-1183	98	3	commuting	commute	VERB
ap-1183	98	4	chiral	chiral	ADJ
ap-1183	98	5	u(n)–spinor	u(n)–spinor	PROPN
ap-1183	98	6	superfield	superfield	PROPN
ap-1183	98	7	za(tl	za(tl	PROPN
ap-1183	98	8	,	,	PUNCT
ap-1183	98	9	θ	θ	PROPN
ap-1183	98	10	)	)	PUNCT
ap-1183	98	11	,	,	PUNCT
ap-1183	98	12	z̄a(tr	z̄a(tr	PROPN
ap-1183	98	13	,	,	PUNCT
ap-1183	98	14	θ̄	θ̄	ADJ
ap-1183	98	15	)	)	PUNCT
ap-1183	98	16	=	=	SYM
ap-1183	98	17	(	(	PUNCT
ap-1183	98	18	za)+	za)+	NOUN
ap-1183	98	19	,	,	PUNCT
ap-1183	98	20	tl	tl	PROPN
ap-1183	98	21	,	,	PUNCT
ap-1183	98	22	r	r	NOUN
ap-1183	98	23	=	=	SYM
ap-1183	98	24	t	t	PROPN
ap-1183	98	25	±	±	NUM
ap-1183	98	26	iθθ̄	iθθ̄	NOUN
ap-1183	99	1	[	[	X
ap-1183	99	2	supermultiplets	supermultiplet	NOUN
ap-1183	99	3	(	(	PUNCT
ap-1183	99	4	2,2,0	2,2,0	NOUN
ap-1183	99	5	)	)	PUNCT
ap-1183	99	6	]	]	PUNCT
ap-1183	99	7	;	;	PUNCT
ap-1183	99	8	•	•	NUM
ap-1183	99	9	commuting	commute	VERB
ap-1183	99	10	n2	n2	ADJ
ap-1183	99	11	complex	complex	ADJ
ap-1183	99	12	“	"	PUNCT
ap-1183	99	13	bridge	bridge	NOUN
ap-1183	99	14	”	"	PUNCT
ap-1183	99	15	superfields	superfield	NOUN
ap-1183	99	16	bc	bc	PROPN
ap-1183	99	17	a(t	a(t	PROPN
ap-1183	99	18	,	,	PUNCT
ap-1183	99	19	θ	θ	NOUN
ap-1183	99	20	,	,	PUNCT
ap-1183	99	21	θ̄	θ̄	NOUN
ap-1183	99	22	)	)	PUNCT
ap-1183	99	23	.	.	PUNCT
ap-1183	100	1	the	the	DET
ap-1183	100	2	n	n	NOUN
ap-1183	100	3	=	=	SYM
ap-1183	100	4	2	2	NUM
ap-1183	100	5	superconformally	superconformally	ADV
ap-1183	100	6	invariant	invariant	ADJ
ap-1183	100	7	action	action	NOUN
ap-1183	100	8	of	of	ADP
ap-1183	100	9	these	these	DET
ap-1183	100	10	superfields	superfield	NOUN
ap-1183	100	11	has	have	VERB
ap-1183	100	12	the	the	DET
ap-1183	100	13	form	form	NOUN
ap-1183	100	14	s2	s2	NOUN
ap-1183	100	15	=	=	SYM
ap-1183	100	16	∫	∫	PROPN
ap-1183	100	17	dt	dt	X
ap-1183	101	1	d2θ	d2θ	PROPN
ap-1183	101	2	[	[	PUNCT
ap-1183	101	3	tr	tr	VERB
ap-1183	101	4	(	(	PUNCT
ap-1183	101	5	d̄x	d̄x	PROPN
ap-1183	101	6	dx	dx	PROPN
ap-1183	101	7	)	)	PUNCT
ap-1183	102	1	+	+	CCONJ
ap-1183	102	2	1	1	NUM
ap-1183	102	3	2	2	NUM
ap-1183	102	4	z̄	z̄	NOUN
ap-1183	102	5	e2vz	e2vz	PUNCT
ap-1183	102	6	−	−	PROPN
ap-1183	102	7	ctrv	ctrv	PROPN
ap-1183	102	8	]	]	PUNCT
ap-1183	102	9	.	.	PUNCT
ap-1183	103	1	(	(	PUNCT
ap-1183	103	2	3.1	3.1	NUM
ap-1183	103	3	)	)	PUNCT
ap-1183	103	4	here	here	ADV
ap-1183	103	5	the	the	DET
ap-1183	103	6	covariant	covariant	ADJ
ap-1183	103	7	derivatives	derivative	NOUN
ap-1183	103	8	of	of	ADP
ap-1183	103	9	the	the	DET
ap-1183	103	10	superfield	superfield	NOUN
ap-1183	103	11	x	x	PUNCT
ap-1183	103	12	are	be	AUX
ap-1183	103	13	dx	dx	PROPN
ap-1183	103	14	=	=	PUNCT
ap-1183	103	15	dx	dx	PROPN
ap-1183	104	1	+	+	SYM
ap-1183	104	2	i[a	i[a	ADV
ap-1183	104	3	,	,	PUNCT
ap-1183	104	4	x	x	X
ap-1183	104	5	]	]	PUNCT
ap-1183	104	6	,	,	PUNCT
ap-1183	104	7	d̄x	d̄x	X
ap-1183	104	8	=	=	PUNCT
ap-1183	105	1	d̄x	d̄x	X
ap-1183	105	2	+	+	PROPN
ap-1183	105	3	i[ā,x	i[ā,x	NOUN
ap-1183	105	4	]	]	PUNCT
ap-1183	105	5	,	,	PUNCT
ap-1183	105	6	(	(	PUNCT
ap-1183	105	7	3.2	3.2	NUM
ap-1183	105	8	)	)	PUNCT
ap-1183	106	1	d	d	NOUN
ap-1183	106	2	=	=	PUNCT
ap-1183	107	1	∂θ	∂θ	PROPN
ap-1183	108	1	+	+	CCONJ
ap-1183	108	2	iθ̄∂t	iθ̄∂t	PROPN
ap-1183	108	3	,	,	PUNCT
ap-1183	108	4	d̄	d̄	PROPN
ap-1183	108	5	=	=	SYM
ap-1183	108	6	−∂θ̄	−∂θ̄	PROPN
ap-1183	109	1	−	−	PROPN
ap-1183	109	2	iθ∂t	iθ∂t	PROPN
ap-1183	109	3	,	,	PUNCT
ap-1183	109	4	{	{	PUNCT
ap-1183	109	5	d	d	NOUN
ap-1183	109	6	,	,	PUNCT
ap-1183	109	7	d̄	d̄	NOUN
ap-1183	109	8	}	}	PUNCT
ap-1183	109	9	=	=	SYM
ap-1183	109	10	−2i∂t	−2i∂t	NOUN
ap-1183	109	11	,	,	PUNCT
ap-1183	109	12	where	where	SCONJ
ap-1183	109	13	the	the	DET
ap-1183	109	14	potentials	potential	NOUN
ap-1183	109	15	are	be	AUX
ap-1183	109	16	constructed	construct	VERB
ap-1183	109	17	from	from	ADP
ap-1183	109	18	the	the	DET
ap-1183	109	19	bridges	bridge	NOUN
ap-1183	109	20	as	as	ADP
ap-1183	109	21	a	a	DET
ap-1183	109	22	=	=	X
ap-1183	109	23	−i	−i	NOUN
ap-1183	109	24	eib̄(de−ib̄	eib̄(de−ib̄	VERB
ap-1183	109	25	)	)	PUNCT
ap-1183	109	26	,	,	PUNCT
ap-1183	109	27	ā	ā	NOUN
ap-1183	109	28	=	=	SYM
ap-1183	109	29	−i	−i	ADJ
ap-1183	109	30	eib(d̄e−ib	eib(d̄e−ib	PROPN
ap-1183	109	31	)	)	PUNCT
ap-1183	109	32	(	(	PUNCT
ap-1183	109	33	b̄	b̄	PROPN
ap-1183	109	34	≡	≡	PROPN
ap-1183	109	35	b+	b+	X
ap-1183	109	36	)	)	PUNCT
ap-1183	109	37	.	.	PUNCT
ap-1183	110	1	(	(	PUNCT
ap-1183	110	2	3.3	3.3	NUM
ap-1183	110	3	)	)	PUNCT
ap-1183	110	4	the	the	DET
ap-1183	110	5	gauge	gauge	NOUN
ap-1183	110	6	superfield	superfield	PROPN
ap-1183	110	7	prepotential	prepotential	PROPN
ap-1183	110	8	v	v	ADP
ap-1183	110	9	b	b	PROPN
ap-1183	110	10	a	a	DET
ap-1183	110	11	(	(	PUNCT
ap-1183	110	12	t	t	PROPN
ap-1183	110	13	,	,	PUNCT
ap-1183	110	14	θ	θ	PROPN
ap-1183	110	15	,	,	PUNCT
ap-1183	110	16	θ̄	θ̄	ADJ
ap-1183	110	17	)	)	PUNCT
ap-1183	110	18	,	,	PUNCT
ap-1183	110	19	(	(	PUNCT
ap-1183	110	20	v	v	X
ap-1183	110	21	)	)	PUNCT
ap-1183	110	22	†	†	NOUN
ap-1183	110	23	=	=	SYM
ap-1183	110	24	v	v	PROPN
ap-1183	110	25	,	,	PUNCT
ap-1183	110	26	is	be	AUX
ap-1183	110	27	constructed	construct	VERB
ap-1183	110	28	from	from	ADP
ap-1183	110	29	the	the	DET
ap-1183	110	30	bridges	bridge	NOUN
ap-1183	110	31	as	as	ADP
ap-1183	110	32	e2v	e2v	PROPN
ap-1183	110	33	=	=	PROPN
ap-1183	110	34	e−ib̄	e−ib̄	PROPN
ap-1183	110	35	eib	eib	NOUN
ap-1183	110	36	.	.	PUNCT
ap-1183	111	1	(	(	PUNCT
ap-1183	111	2	3.4	3.4	NUM
ap-1183	111	3	)	)	PUNCT
ap-1183	111	4	the	the	DET
ap-1183	111	5	superconformal	superconformal	ADJ
ap-1183	111	6	boosts	boost	NOUN
ap-1183	111	7	of	of	ADP
ap-1183	111	8	the	the	DET
ap-1183	111	9	n	n	NOUN
ap-1183	111	10	=	=	SYM
ap-1183	111	11	2	2	NUM
ap-1183	111	12	superconformal	superconformal	ADJ
ap-1183	111	13	group	group	NOUN
ap-1183	111	14	su(1	su(1	NOUN
ap-1183	111	15	,	,	PUNCT
ap-1183	111	16	1|1	1|1	NUM
ap-1183	111	17	)	)	PUNCT
ap-1183	111	18	�	�	PROPN
ap-1183	111	19	osp(2|2	osp(2|2	PROPN
ap-1183	111	20	)	)	PUNCT
ap-1183	111	21	have	have	VERB
ap-1183	111	22	the	the	DET
ap-1183	111	23	following	follow	VERB
ap-1183	111	24	realization	realization	NOUN
ap-1183	111	25	:	:	PUNCT
ap-1183	111	26	δt	δt	X
ap-1183	111	27	=	=	PUNCT
ap-1183	112	1	−i(ηθ̄	−i(ηθ̄	PROPN
ap-1183	112	2	+	+	CCONJ
ap-1183	112	3	η̄θ)t	η̄θ)t	ADJ
ap-1183	112	4	,	,	PUNCT
ap-1183	112	5	δθ	δθ	NOUN
ap-1183	112	6	=	=	PROPN
ap-1183	112	7	η(t+	η(t+	PROPN
ap-1183	112	8	iθθ̄	iθθ̄	NOUN
ap-1183	112	9	)	)	PUNCT
ap-1183	112	10	,	,	PUNCT
ap-1183	112	11	δθ̄	δθ̄	NOUN
ap-1183	112	12	=	=	SYM
ap-1183	112	13	η(t−	η(t−	PROPN
ap-1183	112	14	iθθ̄	iθθ̄	NOUN
ap-1183	112	15	)	)	PUNCT
ap-1183	112	16	,	,	PUNCT
ap-1183	112	17	(	(	PUNCT
ap-1183	112	18	3.5	3.5	NUM
ap-1183	112	19	)	)	PUNCT
ap-1183	112	20	δx	δx	NOUN
ap-1183	112	21	=	=	PUNCT
ap-1183	112	22	−i(ηθ̄	−i(ηθ̄	PROPN
ap-1183	112	23	+	+	CCONJ
ap-1183	112	24	η̄θ)x	η̄θ)x	ADJ
ap-1183	112	25	,	,	PUNCT
ap-1183	112	26	δz	δz	PROPN
ap-1183	112	27	=	=	SYM
ap-1183	112	28	0	0	NUM
ap-1183	112	29	,	,	PUNCT
ap-1183	112	30	δb	δb	NOUN
ap-1183	112	31	=	=	SYM
ap-1183	112	32	0	0	NUM
ap-1183	112	33	,	,	PUNCT
ap-1183	112	34	δv	δv	ADV
ap-1183	112	35	=	=	SYM
ap-1183	112	36	0	0	PROPN
ap-1183	112	37	.	.	PUNCT
ap-1183	113	1	(	(	PUNCT
ap-1183	113	2	3.6	3.6	NUM
ap-1183	113	3	)	)	PUNCT
ap-1183	113	4	its	its	PRON
ap-1183	113	5	closure	closure	NOUN
ap-1183	113	6	with	with	ADP
ap-1183	113	7	n	n	NOUN
ap-1183	113	8	=	=	SYM
ap-1183	113	9	2	2	NUM
ap-1183	113	10	supertranslations	supertranslation	NOUN
ap-1183	113	11	yields	yield	VERB
ap-1183	113	12	the	the	DET
ap-1183	113	13	full	full	ADJ
ap-1183	113	14	n	n	NOUN
ap-1183	113	15	=	=	SYM
ap-1183	113	16	2	2	NUM
ap-1183	113	17	superconformal	superconformal	ADJ
ap-1183	113	18	invariance	invariance	NOUN
ap-1183	113	19	of	of	ADP
ap-1183	113	20	the	the	DET
ap-1183	113	21	action	action	NOUN
ap-1183	113	22	(	(	PUNCT
ap-1183	113	23	3.1	3.1	NUM
ap-1183	113	24	)	)	PUNCT
ap-1183	113	25	.	.	PUNCT
ap-1183	114	1	the	the	DET
ap-1183	114	2	action	action	NOUN
ap-1183	114	3	(	(	PUNCT
ap-1183	114	4	3.1	3.1	NUM
ap-1183	114	5	)	)	PUNCT
ap-1183	114	6	is	be	AUX
ap-1183	114	7	invariant	invariant	ADJ
ap-1183	114	8	also	also	ADV
ap-1183	114	9	with	with	ADP
ap-1183	114	10	respect	respect	NOUN
ap-1183	114	11	to	to	ADP
ap-1183	114	12	the	the	DET
ap-1183	114	13	two	two	NUM
ap-1183	114	14	types	type	NOUN
ap-1183	114	15	of	of	ADP
ap-1183	114	16	the	the	DET
ap-1183	114	17	local	local	ADJ
ap-1183	114	18	u(n	u(n	PROPN
ap-1183	114	19	)	)	PUNCT
ap-1183	114	20	transformations	transformation	NOUN
ap-1183	114	21	:	:	PUNCT
ap-1183	114	22	•	•	NUM
ap-1183	114	23	τ	τ	PROPN
ap-1183	114	24	-transformations	-transformation	NOUN
ap-1183	114	25	with	with	ADP
ap-1183	114	26	the	the	DET
ap-1183	114	27	hermitian	hermitian	PROPN
ap-1183	114	28	(	(	PUNCT
ap-1183	114	29	n×n)-matrix	n×n)-matrix	INTJ
ap-1183	114	30	parameter	parameter	PROPN
ap-1183	114	31	τ(t	τ(t	PROPN
ap-1183	114	32	,	,	PUNCT
ap-1183	114	33	θ	θ	PROPN
ap-1183	114	34	,	,	PUNCT
ap-1183	114	35	θ̄	θ̄	ADJ
ap-1183	114	36	)	)	PUNCT
ap-1183	114	37	∈	∈	PROPN
ap-1183	114	38	u(n	u(n	PROPN
ap-1183	114	39	)	)	PUNCT
ap-1183	114	40	,	,	PUNCT
ap-1183	114	41	(	(	PUNCT
ap-1183	114	42	τ)+	τ)+	PUNCT
ap-1183	114	43	=	=	SYM
ap-1183	114	44	τ	τ	PROPN
ap-1183	114	45	;	;	PUNCT
ap-1183	114	46	•	•	NUM
ap-1183	114	47	λ	λ	NOUN
ap-1183	114	48	–	–	PUNCT
ap-1183	114	49	transformations	transformation	NOUN
ap-1183	114	50	with	with	ADP
ap-1183	114	51	complex	complex	ADJ
ap-1183	114	52	chiral	chiral	ADJ
ap-1183	114	53	gauge	gauge	NOUN
ap-1183	114	54	parameters	parameter	NOUN
ap-1183	114	55	λ(tl	λ(tl	NOUN
ap-1183	114	56	,	,	PUNCT
ap-1183	114	57	θ	θ	NOUN
ap-1183	114	58	)	)	PUNCT
ap-1183	114	59	∈	∈	PROPN
ap-1183	114	60	u(n	u(n	PROPN
ap-1183	114	61	)	)	PUNCT
ap-1183	114	62	,	,	PUNCT
ap-1183	114	63	λ̄(tr	λ̄(tr	PROPN
ap-1183	114	64	,	,	PUNCT
ap-1183	114	65	θ	θ	NOUN
ap-1183	114	66	)	)	PUNCT
ap-1183	114	67	=	=	SYM
ap-1183	114	68	(	(	PUNCT
ap-1183	114	69	λ)+	λ)+	PROPN
ap-1183	114	70	.	.	PUNCT
ap-1183	115	1	these	these	DET
ap-1183	115	2	u(n	u(n	PROPN
ap-1183	115	3	)	)	PUNCT
ap-1183	115	4	transformations	transformation	NOUN
ap-1183	115	5	act	act	VERB
ap-1183	115	6	on	on	ADP
ap-1183	115	7	the	the	DET
ap-1183	115	8	superfields	superfield	NOUN
ap-1183	115	9	in	in	ADP
ap-1183	115	10	the	the	DET
ap-1183	115	11	action	action	NOUN
ap-1183	115	12	(	(	PUNCT
ap-1183	115	13	3.1	3.1	NUM
ap-1183	115	14	)	)	PUNCT
ap-1183	115	15	as	as	ADP
ap-1183	115	16	eib′	eib′	PROPN
ap-1183	115	17	=	=	PUNCT
ap-1183	115	18	eiτ	eiτ	PROPN
ap-1183	115	19	eibe−iλ	eibe−iλ	PROPN
ap-1183	115	20	,	,	PUNCT
ap-1183	115	21	e2v	e2v	VERB
ap-1183	115	22	′	′	NUM
ap-1183	115	23	=	=	SYM
ap-1183	115	24	eiλ̄	eiλ̄	NOUN
ap-1183	116	1	e2v	e2v	PROPN
ap-1183	116	2	e−iλ	e−iλ	PROPN
ap-1183	116	3	,	,	PUNCT
ap-1183	116	4	(	(	PUNCT
ap-1183	116	5	3.7	3.7	NUM
ap-1183	116	6	)	)	PUNCT
ap-1183	116	7	x	x	PUNCT
ap-1183	117	1	′	′	NUM
ap-1183	117	2	=	=	PUNCT
ap-1183	117	3	eiτ	eiτ	PROPN
ap-1183	117	4	x	x	X
ap-1183	117	5	e−iτ	e−iτ	PROPN
ap-1183	117	6	,	,	PUNCT
ap-1183	117	7	z	z	NOUN
ap-1183	117	8	′	′	NOUN
ap-1183	118	1	=	=	PUNCT
ap-1183	118	2	eiλz	eiλz	ADJ
ap-1183	118	3	,	,	PUNCT
ap-1183	118	4	z̄	z̄	NOUN
ap-1183	118	5	′	′	NUM
ap-1183	118	6	=	=	SYM
ap-1183	118	7	z̄	z̄	NOUN
ap-1183	118	8	e−iλ̄	e−iλ̄	NOUN
ap-1183	118	9	.	.	PUNCT
ap-1183	119	1	(	(	PUNCT
ap-1183	119	2	3.8	3.8	NUM
ap-1183	119	3	)	)	PUNCT
ap-1183	119	4	in	in	ADP
ap-1183	119	5	terms	term	NOUN
ap-1183	119	6	of	of	ADP
ap-1183	119	7	τ	τ	X
ap-1183	119	8	-invariant	-invariant	PROPN
ap-1183	119	9	superfields	superfield	NOUN
ap-1183	119	10	v	v	ADP
ap-1183	119	11	,	,	PUNCT
ap-1183	119	12	z	z	NOUN
ap-1183	119	13	and	and	CCONJ
ap-1183	119	14	new	new	ADJ
ap-1183	119	15	hermitian	hermitian	NOUN
ap-1183	119	16	(	(	PUNCT
ap-1183	119	17	n×	n×	PRON
ap-1183	119	18	n)-matrix	n)-matrix	PUNCT
ap-1183	119	19	superfield	superfield	NOUN
ap-1183	119	20	x	x	PUNCT
ap-1183	119	21	=	=	PUNCT
ap-1183	119	22	e−ib	e−ib	NOUN
ap-1183	119	23	x	x	PUNCT
ap-1183	119	24	eib̄	eib̄	ADJ
ap-1183	119	25	,	,	PUNCT
ap-1183	119	26	x	x	NOUN
ap-1183	119	27	′	′	NUM
ap-1183	119	28	=	=	NOUN
ap-1183	119	29	eiλ	eiλ	NOUN
ap-1183	119	30	x	x	SYM
ap-1183	119	31	e−iλ̄	e−iλ̄	NOUN
ap-1183	119	32	,	,	PUNCT
ap-1183	119	33	(	(	PUNCT
ap-1183	119	34	3.9	3.9	NUM
ap-1183	119	35	)	)	PUNCT
ap-1183	119	36	the	the	DET
ap-1183	119	37	action	action	NOUN
ap-1183	119	38	(	(	PUNCT
ap-1183	119	39	3.1	3.1	NUM
ap-1183	119	40	)	)	PUNCT
ap-1183	119	41	takes	take	VERB
ap-1183	119	42	the	the	DET
ap-1183	119	43	form	form	NOUN
ap-1183	119	44	s2	s2	NOUN
ap-1183	119	45	=	=	PUNCT
ap-1183	119	46	∫	∫	PROPN
ap-1183	119	47	dt	dt	X
ap-1183	120	1	d2θ	d2θ	PROPN
ap-1183	120	2	[	[	PUNCT
ap-1183	120	3	tr	tr	VERB
ap-1183	120	4	(	(	PUNCT
ap-1183	120	5	d̄x	d̄x	PROPN
ap-1183	120	6	e2v	e2v	PROPN
ap-1183	120	7	dx	dx	PROPN
ap-1183	120	8	e2v	e2v	PROPN
ap-1183	120	9	)	)	PUNCT
ap-1183	121	1	+	+	CCONJ
ap-1183	121	2	1	1	NUM
ap-1183	121	3	2	2	NUM
ap-1183	121	4	z̄	z̄	NOUN
ap-1183	121	5	e2vz	e2vz	PUNCT
ap-1183	122	1	−	−	PROPN
ap-1183	122	2	ctrv	ctrv	NOUN
ap-1183	122	3	]	]	PUNCT
ap-1183	122	4	(	(	PUNCT
ap-1183	122	5	3.10	3.10	NUM
ap-1183	122	6	)	)	PUNCT
ap-1183	122	7	where	where	SCONJ
ap-1183	122	8	the	the	DET
ap-1183	122	9	covariant	covariant	ADJ
ap-1183	122	10	derivatives	derivative	NOUN
ap-1183	122	11	of	of	ADP
ap-1183	122	12	the	the	DET
ap-1183	122	13	superfieldx	superfieldx	NOUN
ap-1183	122	14	are	be	AUX
ap-1183	122	15	dx	dx	PROPN
ap-1183	122	16	=	=	SYM
ap-1183	122	17	dx+	dx+	NOUN
ap-1183	122	18	e−2v	e−2v	NOUN
ap-1183	122	19	(	(	PUNCT
ap-1183	122	20	de2v	de2v	PROPN
ap-1183	122	21	)	)	PUNCT
ap-1183	122	22	x	x	SYM
ap-1183	122	23	,	,	PUNCT
ap-1183	122	24	d̄x	d̄x	X
ap-1183	122	25	=	=	SYM
ap-1183	122	26	d̄x−x	d̄x−x	NOUN
ap-1183	122	27	e2v	e2v	VERB
ap-1183	122	28	(	(	PUNCT
ap-1183	122	29	d̄e−2v	d̄e−2v	PROPN
ap-1183	122	30	)	)	PUNCT
ap-1183	122	31	.	.	PUNCT
ap-1183	123	1	(	(	PUNCT
ap-1183	123	2	3.11	3.11	NUM
ap-1183	123	3	)	)	PUNCT
ap-1183	123	4	for	for	ADP
ap-1183	123	5	gauge	gauge	ADJ
ap-1183	123	6	λ	λ	NOUN
ap-1183	123	7	-	-	NOUN
ap-1183	123	8	transformations	transformation	NOUN
ap-1183	123	9	we	we	PRON
ap-1183	123	10	impose	impose	VERB
ap-1183	123	11	the	the	DET
ap-1183	123	12	wz	wz	PROPN
ap-1183	123	13	gauge	gauge	NOUN
ap-1183	123	14	v	v	NOUN
ap-1183	123	15	(	(	PUNCT
ap-1183	123	16	t	t	PROPN
ap-1183	123	17	,	,	PUNCT
ap-1183	123	18	θ	θ	PROPN
ap-1183	123	19	,	,	PUNCT
ap-1183	123	20	θ̄	θ̄	ADJ
ap-1183	123	21	)	)	PUNCT
ap-1183	123	22	=	=	SYM
ap-1183	123	23	−θθ̄a(t	−θθ̄a(t	PROPN
ap-1183	123	24	)	)	PUNCT
ap-1183	123	25	.	.	PUNCT
ap-1183	124	1	then	then	ADV
ap-1183	124	2	,	,	PUNCT
ap-1183	124	3	the	the	DET
ap-1183	124	4	action	action	NOUN
ap-1183	124	5	(	(	PUNCT
ap-1183	124	6	3.10	3.10	NUM
ap-1183	124	7	)	)	PUNCT
ap-1183	124	8	takes	take	VERB
ap-1183	124	9	the	the	DET
ap-1183	124	10	form	form	NOUN
ap-1183	124	11	s2	s2	NOUN
ap-1183	124	12	=	=	SYM
ap-1183	124	13	s0	s0	NOUN
ap-1183	124	14	+	+	CCONJ
ap-1183	124	15	sψ2	sψ2	NOUN
ap-1183	124	16	,	,	PUNCT
ap-1183	124	17	sψ2	sψ2	NOUN
ap-1183	124	18	=	=	SYM
ap-1183	124	19	−itr	−itr	NOUN
ap-1183	125	1	∫	∫	PROPN
ap-1183	125	2	dt	dt	X
ap-1183	125	3	(	(	PUNCT
ap-1183	125	4	ψ̄∇ψ−∇ψ̄ψ	ψ̄∇ψ−∇ψ̄ψ	NOUN
ap-1183	125	5	)	)	PUNCT
ap-1183	125	6	(	(	PUNCT
ap-1183	125	7	3.12	3.12	NUM
ap-1183	125	8	)	)	PUNCT
ap-1183	125	9	where	where	SCONJ
ap-1183	125	10	ψ	ψ	NOUN
ap-1183	125	11	=	=	SYM
ap-1183	125	12	dx|	dx|	PROPN
ap-1183	125	13	and	and	CCONJ
ap-1183	125	14	∇ψ	∇ψ	PROPN
ap-1183	125	15	=	=	PUNCT
ap-1183	125	16	ψ̇	ψ̇	PROPN
ap-1183	125	17	+	+	CCONJ
ap-1183	125	18	i[a	i[a	NOUN
ap-1183	125	19	,	,	PUNCT
ap-1183	125	20	ψ	ψ	X
ap-1183	125	21	]	]	X
ap-1183	125	22	,	,	PUNCT
ap-1183	125	23	∇ψ̄	∇ψ̄	PROPN
ap-1183	125	24	=	=	SYM
ap-1183	125	25	˙̄ψ	˙̄ψ	X
ap-1183	126	1	+	+	PUNCT
ap-1183	126	2	i[a	i[a	ADJ
ap-1183	126	3	,	,	PUNCT
ap-1183	126	4	ψ̄	ψ̄	X
ap-1183	126	5	]	]	PUNCT
ap-1183	126	6	.	.	PUNCT
ap-1183	127	1	the	the	DET
ap-1183	127	2	bosonic	bosonic	PROPN
ap-1183	127	3	core	core	NOUN
ap-1183	127	4	in	in	ADP
ap-1183	127	5	(	(	PUNCT
ap-1183	127	6	3.12	3.12	NUM
ap-1183	127	7	)	)	PUNCT
ap-1183	127	8	exactly	exactly	ADV
ap-1183	127	9	coincides	coincide	VERB
ap-1183	127	10	with	with	ADP
ap-1183	127	11	the	the	DET
ap-1183	127	12	calogero	calogero	PROPN
ap-1183	127	13	action	action	NOUN
ap-1183	127	14	(	(	PUNCT
ap-1183	127	15	2.19	2.19	NUM
ap-1183	127	16	)	)	PUNCT
ap-1183	127	17	.	.	PUNCT
ap-1183	128	1	exactly	exactly	ADV
ap-1183	128	2	as	as	ADP
ap-1183	128	3	in	in	ADP
ap-1183	128	4	the	the	DET
ap-1183	128	5	pure	pure	ADJ
ap-1183	128	6	bosonic	bosonic	NOUN
ap-1183	128	7	case	case	NOUN
ap-1183	128	8	,	,	PUNCT
ap-1183	128	9	residual	residual	ADJ
ap-1183	128	10	local	local	ADJ
ap-1183	128	11	u(n	u(n	PROPN
ap-1183	128	12	)	)	PUNCT
ap-1183	128	13	invariance	invariance	NOUN
ap-1183	128	14	of	of	ADP
ap-1183	128	15	the	the	DET
ap-1183	128	16	action	action	NOUN
ap-1183	128	17	(	(	PUNCT
ap-1183	128	18	3.12	3.12	NUM
ap-1183	128	19	)	)	PUNCT
ap-1183	128	20	eliminates	eliminate	VERB
ap-1183	128	21	the	the	DET
ap-1183	128	22	nondiagonal	nondiagonal	ADJ
ap-1183	128	23	fields	field	NOUN
ap-1183	128	24	xb	xb	X
ap-1183	129	1	a	a	PRON
ap-1183	129	2	,	,	PUNCT
ap-1183	129	3	a	a	DET
ap-1183	129	4	�	�	PROPN
ap-1183	129	5	=	=	SYM
ap-1183	129	6	b	b	NOUN
ap-1183	129	7	,	,	PUNCT
ap-1183	129	8	and	and	CCONJ
ap-1183	129	9	all	all	DET
ap-1183	129	10	spinor	spinor	NOUN
ap-1183	129	11	fields	field	VERB
ap-1183	129	12	za	za	PROPN
ap-1183	129	13	.	.	PUNCT
ap-1183	130	1	thus	thus	ADV
ap-1183	130	2	,	,	PUNCT
ap-1183	130	3	the	the	DET
ap-1183	130	4	physical	physical	ADJ
ap-1183	130	5	fields	field	NOUN
ap-1183	130	6	in	in	ADP
ap-1183	130	7	our	our	PRON
ap-1183	130	8	n	n	NOUN
ap-1183	130	9	=	=	SYM
ap-1183	130	10	2	2	NUM
ap-1183	130	11	supersymmetric	supersymmetric	ADJ
ap-1183	130	12	generalization	generalization	NOUN
ap-1183	130	13	of	of	ADP
ap-1183	130	14	the	the	DET
ap-1183	130	15	calogero	calogero	PROPN
ap-1183	130	16	system	system	NOUN
ap-1183	130	17	are	be	AUX
ap-1183	130	18	n	n	PRON
ap-1183	130	19	bosons	boson	NOUN
ap-1183	130	20	xa	xa	PROPN
ap-1183	131	1	=	=	SYM
ap-1183	131	2	xa	xa	PROPN
ap-1183	131	3	a	a	PRON
ap-1183	131	4	and	and	CCONJ
ap-1183	131	5	2n	2n	NUM
ap-1183	131	6	2	2	NUM
ap-1183	131	7	fermions	fermion	NOUN
ap-1183	131	8	ψb	ψb	NOUN
ap-1183	131	9	a.	a.	NOUN
ap-1183	131	10	these	these	DET
ap-1183	131	11	fields	field	NOUN
ap-1183	131	12	present	present	VERB
ap-1183	131	13	the	the	DET
ap-1183	131	14	on	on	ADP
ap-1183	131	15	-	-	PUNCT
ap-1183	131	16	shell	shell	NOUN
ap-1183	131	17	content	content	NOUN
ap-1183	131	18	of	of	ADP
ap-1183	131	19	n	n	PRON
ap-1183	131	20	multiplets	multiplet	NOUN
ap-1183	131	21	(	(	PUNCT
ap-1183	131	22	1,2,1	1,2,1	NUM
ap-1183	131	23	)	)	PUNCT
ap-1183	131	24	and	and	CCONJ
ap-1183	131	25	n2−n	n2−n	PROPN
ap-1183	131	26	multiplets	multiplet	NOUN
ap-1183	131	27	(	(	PUNCT
ap-1183	131	28	0,2,2	0,2,2	NUM
ap-1183	131	29	)	)	PUNCT
ap-1183	131	30	which	which	PRON
ap-1183	131	31	are	be	AUX
ap-1183	131	32	obtained	obtain	VERB
ap-1183	131	33	from	from	ADP
ap-1183	131	34	n2	n2	ADJ
ap-1183	131	35	multiplets	multiplet	NOUN
ap-1183	131	36	(	(	PUNCT
ap-1183	131	37	1,2,1	1,2,1	NUM
ap-1183	131	38	)	)	PUNCT
ap-1183	131	39	by	by	ADP
ap-1183	131	40	the	the	DET
ap-1183	131	41	gauging	gauge	VERB
ap-1183	131	42	procedure	procedure	NOUN
ap-1183	131	43	[	[	X
ap-1183	131	44	16	16	NUM
ap-1183	131	45	]	]	PUNCT
ap-1183	131	46	.	.	PUNCT
ap-1183	132	1	we	we	PRON
ap-1183	132	2	can	can	AUX
ap-1183	132	3	present	present	VERB
ap-1183	132	4	it	it	PRON
ap-1183	132	5	by	by	ADP
ap-1183	132	6	the	the	DET
ap-1183	132	7	plot	plot	NOUN
ap-1183	132	8	:	:	PUNCT
ap-1183	132	9	x	x	X
ap-1183	132	10	a	a	DET
ap-1183	132	11	a	a	X
ap-1183	132	12	=	=	X
ap-1183	132	13	(	(	PUNCT
ap-1183	132	14	x	x	X
ap-1183	132	15	a	a	DET
ap-1183	132	16	a	a	PRON
ap-1183	132	17	,	,	PUNCT
ap-1183	132	18	ψa	ψa	NOUN
ap-1183	132	19	a	a	NOUN
ap-1183	132	20	,	,	PUNCT
ap-1183	132	21	ca	ca	NOUN
ap-1183	132	22	a	a	PRON
ap-1183	132	23	)	)	PUNCT
ap-1183	132	24	︸	︸	NOUN
ap-1183	132	25	︷︷	︷︷	PROPN
ap-1183	132	26	︸	︸	X
ap-1183	132	27	(	(	PUNCT
ap-1183	132	28	1,2,1)multiplets	1,2,1)multiplets	NUM
ap-1183	132	29	x	x	SYM
ap-1183	132	30	b	b	NOUN
ap-1183	132	31	a	a	X
ap-1183	132	32	=	=	PUNCT
ap-1183	132	33	(	(	PUNCT
ap-1183	132	34	x	x	PROPN
ap-1183	132	35	b	b	NOUN
ap-1183	132	36	a	a	PRON
ap-1183	132	37	,	,	PUNCT
ap-1183	132	38	ψb	ψb	INTJ
ap-1183	132	39	a	a	PRON
ap-1183	132	40	,	,	PUNCT
ap-1183	132	41	cb	cb	PROPN
ap-1183	132	42	a	a	PROPN
ap-1183	132	43	)	)	PUNCT
ap-1183	132	44	,	,	PUNCT
ap-1183	132	45	a	a	DET
ap-1183	132	46	�	�	NOUN
ap-1183	132	47	=	=	NOUN
ap-1183	132	48	b︸	b︸	ADJ
ap-1183	132	49	︷︷	︷︷	PROPN
ap-1183	132	50	︸	︸	X
ap-1183	132	51	(	(	PUNCT
ap-1183	132	52	1,2,1)multiplets	1,2,1)multiplets	NUM
ap-1183	132	53	⇓	⇓	PROPN
ap-1183	132	54	gauging	gauge	VERB
ap-1183	132	55	⇓	⇓	PROPN
ap-1183	132	56	x	x	PUNCT
ap-1183	132	57	a	a	DET
ap-1183	132	58	a	a	X
ap-1183	132	59	=	=	X
ap-1183	132	60	(	(	PUNCT
ap-1183	132	61	x	x	X
ap-1183	132	62	a	a	DET
ap-1183	132	63	a	a	PRON
ap-1183	132	64	,	,	PUNCT
ap-1183	132	65	ψa	ψa	NOUN
ap-1183	132	66	a	a	NOUN
ap-1183	132	67	,	,	PUNCT
ap-1183	132	68	ca	ca	NOUN
ap-1183	132	69	a	a	PRON
ap-1183	132	70	)	)	PUNCT
ap-1183	132	71	︸	︸	NOUN
ap-1183	133	1	︷︷	︷︷	PROPN
ap-1183	133	2	︸	︸	X
ap-1183	133	3	(	(	PUNCT
ap-1183	133	4	1,2,1)multiplets	1,2,1)multiplets	NUM
ap-1183	133	5	interact	interact	VERB
ap-1183	133	6	ωb	ωb	ADP
ap-1183	133	7	a	a	PRON
ap-1183	133	8	=	=	X
ap-1183	133	9	(	(	PUNCT
ap-1183	133	10	ψ	ψ	X
ap-1183	133	11	b	b	X
ap-1183	133	12	a	a	PRON
ap-1183	133	13	,	,	PUNCT
ap-1183	133	14	bb	bb	NOUN
ap-1183	133	15	a	a	NOUN
ap-1183	133	16	,	,	PUNCT
ap-1183	133	17	cb	cb	PROPN
ap-1183	133	18	a	a	PROPN
ap-1183	133	19	)	)	PUNCT
ap-1183	133	20	,	,	PUNCT
ap-1183	133	21	a	a	DET
ap-1183	133	22	�	�	NOUN
ap-1183	133	23	=	=	NOUN
ap-1183	133	24	b︸	b︸	ADJ
ap-1183	133	25	︷︷	︷︷	PROPN
ap-1183	133	26	︸	︸	X
ap-1183	133	27	(	(	PUNCT
ap-1183	133	28	0,2,2)multiplets	0,2,2)multiplets	NUM
ap-1183	133	29	where	where	SCONJ
ap-1183	133	30	the	the	DET
ap-1183	133	31	bosonic	bosonic	NOUN
ap-1183	133	32	fields	field	NOUN
ap-1183	133	33	ca	can	AUX
ap-1183	133	34	a	a	PRON
ap-1183	133	35	,	,	PUNCT
ap-1183	133	36	c	c	PROPN
ap-1183	133	37	b	b	PROPN
ap-1183	133	38	a	a	NOUN
ap-1183	133	39	and	and	CCONJ
ap-1183	133	40	bb	bb	INTJ
ap-1183	133	41	a	a	PRON
ap-1183	133	42	are	be	AUX
ap-1183	133	43	auxiliary	auxiliary	ADJ
ap-1183	133	44	components	component	NOUN
ap-1183	133	45	of	of	ADP
ap-1183	133	46	the	the	DET
ap-1183	133	47	supermultiplets	supermultiplet	NOUN
ap-1183	133	48	.	.	PUNCT
ap-1183	134	1	thus	thus	ADV
ap-1183	134	2	,	,	PUNCT
ap-1183	134	3	we	we	PRON
ap-1183	134	4	obtain	obtain	VERB
ap-1183	134	5	some	some	DET
ap-1183	134	6	new	new	ADJ
ap-1183	134	7	n	n	NOUN
ap-1183	134	8	=	=	SYM
ap-1183	134	9	2	2	NUM
ap-1183	134	10	extensions	extension	NOUN
ap-1183	134	11	of	of	ADP
ap-1183	134	12	the	the	DET
ap-1183	134	13	n	n	CCONJ
ap-1183	134	14	-	-	PUNCT
ap-1183	134	15	particle	particle	NOUN
ap-1183	134	16	calogero	calogero	NOUN
ap-1183	134	17	models	model	NOUN
ap-1183	134	18	with	with	ADP
ap-1183	134	19	n	n	NOUN
ap-1183	134	20	bosons	boson	NOUN
ap-1183	134	21	and	and	CCONJ
ap-1183	134	22	2n2	2n2	NUM
ap-1183	134	23	fermions	fermion	NOUN
ap-1183	134	24	as	as	ADP
ap-1183	134	25	compared	compare	VERB
ap-1183	134	26	to	to	ADP
ap-1183	134	27	the	the	DET
ap-1183	134	28	standard	standard	ADJ
ap-1183	134	29	n	n	NOUN
ap-1183	134	30	=	=	SYM
ap-1183	134	31	2	2	NUM
ap-1183	134	32	supercalogero	supercalogero	NOUN
ap-1183	134	33	with	with	ADP
ap-1183	134	34	2n	2n	ADJ
ap-1183	134	35	fermions	fermion	NOUN
ap-1183	134	36	constructed	construct	VERB
ap-1183	134	37	by	by	ADP
ap-1183	134	38	freedman	freedman	PROPN
ap-1183	134	39	and	and	CCONJ
ap-1183	134	40	mende	mende	PROPN
ap-1183	135	1	[	[	X
ap-1183	135	2	8	8	NUM
ap-1183	135	3	]	]	PUNCT
ap-1183	135	4	.	.	PUNCT
ap-1183	136	1	4	4	NUM
ap-1183	136	2	n	n	NOUN
ap-1183	136	3	=	=	SYM
ap-1183	136	4	4	4	NUM
ap-1183	136	5	superconformal	superconformal	ADJ
ap-1183	136	6	calogero	calogero	PROPN
ap-1183	136	7	model	model	NOUN
ap-1183	136	8	the	the	DET
ap-1183	136	9	most	most	ADV
ap-1183	136	10	natural	natural	ADJ
ap-1183	136	11	formulation	formulation	NOUN
ap-1183	136	12	of	of	ADP
ap-1183	136	13	n	n	NOUN
ap-1183	136	14	=	=	SYM
ap-1183	136	15	4	4	NUM
ap-1183	136	16	,	,	PUNCT
ap-1183	136	17	d	d	NOUN
ap-1183	136	18	=	=	SYM
ap-1183	136	19	1	1	NUM
ap-1183	136	20	superfield	superfield	NOUN
ap-1183	136	21	theories	theory	NOUN
ap-1183	136	22	is	be	AUX
ap-1183	136	23	achieved	achieve	VERB
ap-1183	136	24	in	in	ADP
ap-1183	136	25	the	the	DET
ap-1183	136	26	harmonic	harmonic	ADJ
ap-1183	136	27	superspace	superspace	NOUN
ap-1183	137	1	[	[	X
ap-1183	137	2	23	23	NUM
ap-1183	137	3	]	]	PUNCT
ap-1183	137	4	parametrized	parametrize	VERB
ap-1183	137	5	by	by	ADP
ap-1183	137	6	(	(	PUNCT
ap-1183	137	7	t	t	PROPN
ap-1183	137	8	,	,	PUNCT
ap-1183	137	9	θi	θi	PROPN
ap-1183	137	10	,	,	PUNCT
ap-1183	137	11	θ̄	θ̄	PROPN
ap-1183	137	12	k	k	NOUN
ap-1183	137	13	,	,	PUNCT
ap-1183	137	14	u±	u±	PROPN
ap-1183	137	15	i	i	NOUN
ap-1183	137	16	)	)	PUNCT
ap-1183	137	17	∼	∼	NOUN
ap-1183	137	18	(	(	PUNCT
ap-1183	137	19	t	t	PROPN
ap-1183	137	20	,	,	PUNCT
ap-1183	137	21	θ±	θ±	PROPN
ap-1183	137	22	,	,	PUNCT
ap-1183	137	23	θ̄±	θ̄±	PROPN
ap-1183	137	24	,	,	PUNCT
ap-1183	137	25	u±	u±	PROPN
ap-1183	137	26	i	i	PROPN
ap-1183	137	27	)	)	PUNCT
ap-1183	137	28	,	,	PUNCT
ap-1183	138	1	θ±	θ±	PROPN
ap-1183	138	2	=	=	PUNCT
ap-1183	138	3	θiu±	θiu±	X
ap-1183	138	4	i	i	PRON
ap-1183	138	5	,	,	PUNCT
ap-1183	138	6	θ̄±	θ̄±	NOUN
ap-1183	138	7	=	=	PUNCT
ap-1183	138	8	θ̄iu±	θ̄iu±	PUNCT
ap-1183	138	9	i	i	PRON
ap-1183	138	10	,	,	PUNCT
ap-1183	138	11	i	i	PRON
ap-1183	138	12	,	,	PUNCT
ap-1183	138	13	k	k	PROPN
ap-1183	138	14	=	=	SYM
ap-1183	138	15	1	1	NUM
ap-1183	138	16	,	,	PUNCT
ap-1183	138	17	2	2	NUM
ap-1183	138	18	.	.	NUM
ap-1183	138	19	25	25	NUM
ap-1183	138	20	acta	acta	PROPN
ap-1183	138	21	polytechnica	polytechnica	PROPN
ap-1183	138	22	vol	vol	NOUN
ap-1183	138	23	.	.	PROPN
ap-1183	139	1	50	50	NUM
ap-1183	139	2	no	no	NOUN
ap-1183	139	3	.	.	PUNCT
ap-1183	140	1	3/2010	3/2010	NUM
ap-1183	140	2	commuting	commute	VERB
ap-1183	140	3	su(2)-doublets	su(2)-doublet	NOUN
ap-1183	140	4	u±	u±	PROPN
ap-1183	140	5	i	i	PRON
ap-1183	140	6	are	be	AUX
ap-1183	140	7	harmonic	harmonic	ADJ
ap-1183	140	8	coordinates	coordinate	NOUN
ap-1183	140	9	[	[	X
ap-1183	140	10	24	24	NUM
ap-1183	140	11	]	]	PUNCT
ap-1183	140	12	,	,	PUNCT
ap-1183	140	13	subjected	subject	VERB
ap-1183	140	14	by	by	ADP
ap-1183	140	15	the	the	DET
ap-1183	140	16	constraints	constraint	NOUN
ap-1183	140	17	u+iu−	u+iu−	INTJ
ap-1183	141	1	i	i	PRON
ap-1183	141	2	=	=	NOUN
ap-1183	142	1	1	1	X
ap-1183	142	2	.	.	PUNCT
ap-1183	143	1	the	the	DET
ap-1183	143	2	n	n	NOUN
ap-1183	143	3	=	=	SYM
ap-1183	143	4	4	4	NUM
ap-1183	143	5	superconformally	superconformally	ADV
ap-1183	143	6	invariant	invariant	ADJ
ap-1183	143	7	harmonic	harmonic	ADJ
ap-1183	143	8	analytic	analytic	ADJ
ap-1183	143	9	subspace	subspace	NOUN
ap-1183	143	10	is	be	AUX
ap-1183	143	11	parametrized	parametrize	VERB
ap-1183	143	12	by	by	ADP
ap-1183	143	13	(	(	PUNCT
ap-1183	143	14	ζ	ζ	NOUN
ap-1183	143	15	,	,	PUNCT
ap-1183	143	16	u	u	NOUN
ap-1183	143	17	)	)	PUNCT
ap-1183	143	18	=	=	SYM
ap-1183	143	19	(	(	PUNCT
ap-1183	143	20	ta	ta	PROPN
ap-1183	143	21	,	,	PUNCT
ap-1183	143	22	θ+	θ+	PROPN
ap-1183	143	23	,	,	PUNCT
ap-1183	143	24	θ̄+	θ̄+	PROPN
ap-1183	143	25	,	,	PUNCT
ap-1183	143	26	u±	u±	PROPN
ap-1183	143	27	i	i	PROPN
ap-1183	143	28	)	)	PUNCT
ap-1183	143	29	,	,	PUNCT
ap-1183	143	30	ta	ta	X
ap-1183	143	31	=	=	SYM
ap-1183	143	32	t−i(θ+θ̄−+θ−θ̄+	t−i(θ+θ̄−+θ−θ̄+	PROPN
ap-1183	143	33	)	)	PUNCT
ap-1183	143	34	.	.	PUNCT
ap-1183	144	1	the	the	DET
ap-1183	144	2	integration	integration	NOUN
ap-1183	144	3	measures	measure	NOUN
ap-1183	144	4	in	in	ADP
ap-1183	144	5	these	these	DET
ap-1183	144	6	superspaces	superspace	NOUN
ap-1183	144	7	are	be	AUX
ap-1183	144	8	μh	μh	X
ap-1183	144	9	=	=	SYM
ap-1183	144	10	du	du	X
ap-1183	144	11	dt	dt	X
ap-1183	145	1	d	d	PROPN
ap-1183	145	2	4θ	4θ	NOUN
ap-1183	145	3	and	and	CCONJ
ap-1183	145	4	μ	μ	NOUN
ap-1183	145	5	(	(	PUNCT
ap-1183	145	6	−2	−2	PROPN
ap-1183	145	7	)	)	PUNCT
ap-1183	145	8	a	a	PRON
ap-1183	145	9	=	=	X
ap-1183	145	10	du	du	NOUN
ap-1183	145	11	dζ(−2	dζ(−2	NOUN
ap-1183	145	12	)	)	PUNCT
ap-1183	145	13	.	.	PUNCT
ap-1183	146	1	the	the	DET
ap-1183	146	2	n	n	NOUN
ap-1183	146	3	=	=	SYM
ap-1183	146	4	4	4	NUM
ap-1183	146	5	supergauge	supergauge	NOUN
ap-1183	146	6	theory	theory	NOUN
ap-1183	146	7	related	relate	VERB
ap-1183	146	8	to	to	ADP
ap-1183	146	9	our	our	PRON
ap-1183	146	10	task	task	NOUN
ap-1183	146	11	is	be	AUX
ap-1183	146	12	described	describe	VERB
ap-1183	146	13	by	by	ADP
ap-1183	146	14	:	:	PUNCT
ap-1183	146	15	•	•	NUM
ap-1183	146	16	hermitian	hermitian	ADJ
ap-1183	146	17	matrix	matrix	NOUN
ap-1183	146	18	superfields	superfield	VERB
ap-1183	146	19	x(t	x(t	PROPN
ap-1183	146	20	,	,	PUNCT
ap-1183	146	21	θ±	θ±	PROPN
ap-1183	146	22	,	,	PUNCT
ap-1183	146	23	θ̄±	θ̄±	PROPN
ap-1183	146	24	,	,	PUNCT
ap-1183	146	25	u±	u±	PROPN
ap-1183	146	26	i	i	NOUN
ap-1183	146	27	)	)	PUNCT
ap-1183	146	28	=	=	PUNCT
ap-1183	147	1	(	(	PUNCT
ap-1183	147	2	xb	xb	PROPN
ap-1183	147	3	a	a	PRON
ap-1183	147	4	)	)	PUNCT
ap-1183	147	5	subjected	subject	VERB
ap-1183	147	6	to	to	ADP
ap-1183	147	7	the	the	DET
ap-1183	147	8	constraints	constraint	NOUN
ap-1183	147	9	d++x	d++x	NOUN
ap-1183	147	10	=	=	SYM
ap-1183	147	11	0	0	NUM
ap-1183	147	12	,	,	PUNCT
ap-1183	147	13	d+d−	d+d−	NOUN
ap-1183	147	14	x	x	NOUN
ap-1183	147	15	=	=	SYM
ap-1183	147	16	0	0	NUM
ap-1183	147	17	,	,	PUNCT
ap-1183	147	18	(	(	PUNCT
ap-1183	147	19	d+d̄	d+d̄	NOUN
ap-1183	147	20	−	−	NOUN
ap-1183	147	21	+	+	CCONJ
ap-1183	147	22	d̄	d̄	PROPN
ap-1183	147	23	+	+	CCONJ
ap-1183	147	24	d−)x	d−)x	X
ap-1183	147	25	=	=	SYM
ap-1183	147	26	0	0	NUM
ap-1183	147	27	(	(	PUNCT
ap-1183	147	28	4.1	4.1	NUM
ap-1183	147	29	)	)	PUNCT
ap-1183	147	30	[	[	X
ap-1183	147	31	multiplets	multiplet	NOUN
ap-1183	147	32	(	(	PUNCT
ap-1183	147	33	1,4,3	1,4,3	NUM
ap-1183	147	34	)	)	PUNCT
ap-1183	147	35	]	]	PUNCT
ap-1183	147	36	;	;	PUNCT
ap-1183	147	37	•	•	NUM
ap-1183	147	38	analytic	analytic	ADJ
ap-1183	147	39	superfields	superfield	NOUN
ap-1183	147	40	z+(ζ	z+(ζ	NUM
ap-1183	147	41	,	,	PUNCT
ap-1183	147	42	u	u	NOUN
ap-1183	147	43	)	)	PUNCT
ap-1183	147	44	=	=	SYM
ap-1183	147	45	(	(	PUNCT
ap-1183	147	46	z+a	z+a	X
ap-1183	147	47	)	)	PUNCT
ap-1183	147	48	subjected	subject	VERB
ap-1183	147	49	to	to	ADP
ap-1183	147	50	the	the	DET
ap-1183	147	51	constraint	constraint	NOUN
ap-1183	147	52	d++z+	d++z+	VERB
ap-1183	147	53	=	=	SYM
ap-1183	147	54	0	0	PUNCT
ap-1183	148	1	(	(	PUNCT
ap-1183	148	2	4.2	4.2	NUM
ap-1183	148	3	)	)	PUNCT
ap-1183	149	1	[	[	X
ap-1183	149	2	multiplets	multiplet	NOUN
ap-1183	149	3	(	(	PUNCT
ap-1183	149	4	4,4,0	4,4,0	NUM
ap-1183	149	5	)	)	PUNCT
ap-1183	149	6	]	]	PUNCT
ap-1183	149	7	;	;	PUNCT
ap-1183	149	8	•	•	X
ap-1183	149	9	the	the	DET
ap-1183	149	10	gauge	gauge	NOUN
ap-1183	149	11	matrix	matrix	NOUN
ap-1183	149	12	connection	connection	NOUN
ap-1183	149	13	v	v	ADP
ap-1183	149	14	+	+	NOUN
ap-1183	149	15	+	+	ADJ
ap-1183	149	16	(	(	PUNCT
ap-1183	149	17	ζ	ζ	NOUN
ap-1183	149	18	,	,	PUNCT
ap-1183	149	19	u	u	NOUN
ap-1183	149	20	)	)	PUNCT
ap-1183	149	21	=	=	SYM
ap-1183	149	22	(	(	PUNCT
ap-1183	149	23	v	v	ADP
ap-1183	149	24	+	+	PROPN
ap-1183	149	25	+	+	NOUN
ap-1183	149	26	b	b	NOUN
ap-1183	149	27	a	a	NOUN
ap-1183	149	28	)	)	PUNCT
ap-1183	149	29	.	.	PUNCT
ap-1183	150	1	in	in	ADP
ap-1183	150	2	(	(	PUNCT
ap-1183	150	3	4.1	4.1	NUM
ap-1183	150	4	)	)	PUNCT
ap-1183	150	5	and	and	CCONJ
ap-1183	150	6	(	(	PUNCT
ap-1183	150	7	4.2	4.2	NUM
ap-1183	150	8	)	)	PUNCT
ap-1183	150	9	the	the	DET
ap-1183	150	10	covariant	covariant	ADJ
ap-1183	150	11	derivatives	derivative	NOUN
ap-1183	150	12	are	be	AUX
ap-1183	150	13	defined	define	VERB
ap-1183	150	14	by	by	ADP
ap-1183	150	15	d++x	d++x	NOUN
ap-1183	150	16	=	=	PUNCT
ap-1183	150	17	d++x+	d++x+	NOUN
ap-1183	151	1	i	i	PRON
ap-1183	152	1	[	[	X
ap-1183	152	2	v	v	ADP
ap-1183	152	3	+	+	NOUN
ap-1183	152	4	+	+	ADJ
ap-1183	152	5	,	,	PUNCT
ap-1183	152	6	x	x	X
ap-1183	152	7	]	]	X
ap-1183	152	8	,	,	PUNCT
ap-1183	152	9	d++z+	d++z+	VERB
ap-1183	152	10	=	=	PUNCT
ap-1183	152	11	d++z+	d++z+	VERB
ap-1183	152	12	+	+	CCONJ
ap-1183	152	13	i	i	PRON
ap-1183	152	14	v	v	ADP
ap-1183	152	15	+	+	NOUN
ap-1183	152	16	+	+	NOUN
ap-1183	152	17	z+	z+	NUM
ap-1183	152	18	.	.	PUNCT
ap-1183	153	1	also	also	ADV
ap-1183	153	2	d+	d+	NOUN
ap-1183	153	3	=	=	SYM
ap-1183	153	4	d+	d+	X
ap-1183	153	5	,	,	PUNCT
ap-1183	153	6	d̄	d̄	PROPN
ap-1183	153	7	+	+	CCONJ
ap-1183	153	8	=	=	SYM
ap-1183	153	9	d̄+	d̄+	PUNCT
ap-1183	153	10	and	and	CCONJ
ap-1183	153	11	the	the	DET
ap-1183	153	12	connections	connection	NOUN
ap-1183	153	13	in	in	ADP
ap-1183	153	14	d−	d−	PROPN
ap-1183	153	15	,	,	PUNCT
ap-1183	153	16	d̄	d̄	PROPN
ap-1183	153	17	−	−	PROPN
ap-1183	153	18	are	be	AUX
ap-1183	153	19	expressed	express	VERB
ap-1183	153	20	through	through	ADP
ap-1183	153	21	derivatives	derivative	NOUN
ap-1183	153	22	of	of	ADP
ap-1183	153	23	v	v	DET
ap-1183	153	24	+	+	NOUN
ap-1183	153	25	+	+	PROPN
ap-1183	153	26	.	.	PUNCT
ap-1183	154	1	the	the	DET
ap-1183	154	2	n	n	NOUN
ap-1183	154	3	=	=	SYM
ap-1183	154	4	4	4	NUM
ap-1183	154	5	superconformal	superconformal	ADJ
ap-1183	154	6	model	model	NOUN
ap-1183	154	7	is	be	AUX
ap-1183	154	8	described	describe	VERB
ap-1183	154	9	by	by	ADP
ap-1183	154	10	the	the	DET
ap-1183	154	11	action	action	NOUN
ap-1183	154	12	sα	sα	NOUN
ap-1183	154	13	�	�	NOUN
ap-1183	154	14	=0	=0	NOUN
ap-1183	154	15	4	4	NUM
ap-1183	154	16	=	=	SYM
ap-1183	154	17	−	−	PROPN
ap-1183	154	18	1	1	NUM
ap-1183	154	19	4(1	4(1	NUM
ap-1183	154	20	+	+	CCONJ
ap-1183	154	21	α	α	X
ap-1183	154	22	)	)	PUNCT
ap-1183	154	23	∫	∫	NOUN
ap-1183	155	1	μh	μh	X
ap-1183	155	2	tr	tr	VERB
ap-1183	155	3	(	(	PUNCT
ap-1183	155	4	x−1	x−1	PROPN
ap-1183	155	5	/	/	SYM
ap-1183	155	6	α	α	PROPN
ap-1183	155	7	)	)	PUNCT
ap-1183	156	1	+	+	CCONJ
ap-1183	156	2	(	(	PUNCT
ap-1183	156	3	4.3	4.3	NUM
ap-1183	156	4	)	)	SYM
ap-1183	156	5	1	1	NUM
ap-1183	156	6	2	2	NUM
ap-1183	156	7	∫	∫	NOUN
ap-1183	156	8	μ	μ	PROPN
ap-1183	156	9	(	(	PUNCT
ap-1183	156	10	−2	−2	PROPN
ap-1183	156	11	)	)	PUNCT
ap-1183	156	12	a	a	DET
ap-1183	156	13	v0	v0	NOUN
ap-1183	156	14	z̃+z+	z̃+z+	X
ap-1183	157	1	+	+	CCONJ
ap-1183	157	2	i	i	PROPN
ap-1183	157	3	2	2	NUM
ap-1183	157	4	c	c	NOUN
ap-1183	157	5	∫	∫	PROPN
ap-1183	157	6	μ	μ	PROPN
ap-1183	157	7	(	(	PUNCT
ap-1183	157	8	−2	−2	PROPN
ap-1183	157	9	)	)	PUNCT
ap-1183	157	10	a	a	DET
ap-1183	157	11	trv	trv	PROPN
ap-1183	157	12	+	+	PROPN
ap-1183	157	13	+	+	PROPN
ap-1183	157	14	.	.	PUNCT
ap-1183	158	1	the	the	DET
ap-1183	158	2	tilde	tilde	NOUN
ap-1183	158	3	in	in	ADP
ap-1183	158	4	z̃+	z̃+	PROPN
ap-1183	158	5	denotes	denote	NOUN
ap-1183	158	6	‘	'	PUNCT
ap-1183	158	7	hermitian	hermitian	ADJ
ap-1183	158	8	’	'	PUNCT
ap-1183	158	9	conjugation	conjugation	NOUN
ap-1183	158	10	preserving	preserve	VERB
ap-1183	158	11	analyticity	analyticity	NOUN
ap-1183	158	12	[	[	X
ap-1183	158	13	24	24	NUM
ap-1183	158	14	,	,	PUNCT
ap-1183	158	15	23	23	NUM
ap-1183	158	16	]	]	PUNCT
ap-1183	158	17	.	.	PUNCT
ap-1183	159	1	the	the	DET
ap-1183	159	2	unconstrained	unconstrained	ADJ
ap-1183	159	3	superfield	superfield	NOUN
ap-1183	159	4	v0(ζ	v0(ζ	NOUN
ap-1183	159	5	,	,	PUNCT
ap-1183	159	6	u	u	NOUN
ap-1183	159	7	)	)	PUNCT
ap-1183	159	8	is	be	AUX
ap-1183	159	9	a	a	DET
ap-1183	159	10	real	real	ADJ
ap-1183	159	11	analytic	analytic	ADJ
ap-1183	159	12	superfield	superfield	NOUN
ap-1183	159	13	,	,	PUNCT
ap-1183	159	14	which	which	PRON
ap-1183	159	15	is	be	AUX
ap-1183	159	16	defined	define	VERB
ap-1183	159	17	by	by	ADP
ap-1183	159	18	the	the	DET
ap-1183	159	19	integral	integral	ADJ
ap-1183	159	20	transform	transform	NOUN
ap-1183	159	21	(	(	PUNCT
ap-1183	159	22	x0	x0	PROPN
ap-1183	159	23	≡	≡	PROPN
ap-1183	159	24	tr	tr	PUNCT
ap-1183	159	25	(	(	PUNCT
ap-1183	159	26	x	x	NOUN
ap-1183	159	27	)	)	PUNCT
ap-1183	159	28	)	)	PUNCT
ap-1183	160	1	x0(t	x0(t	PROPN
ap-1183	160	2	,	,	PUNCT
ap-1183	160	3	θi	θi	X
ap-1183	160	4	,	,	PUNCT
ap-1183	160	5	θ̄	θ̄	PROPN
ap-1183	160	6	i	i	NOUN
ap-1183	160	7	)	)	PUNCT
ap-1183	161	1	=	=	X
ap-1183	161	2	∫	∫	PROPN
ap-1183	161	3	duv0	duv0	PROPN
ap-1183	161	4	(	(	PUNCT
ap-1183	161	5	ta	ta	PROPN
ap-1183	161	6	,	,	PUNCT
ap-1183	161	7	θ+	θ+	PROPN
ap-1183	161	8	,	,	PUNCT
ap-1183	161	9	θ̄+	θ̄+	PRON
ap-1183	161	10	,	,	PUNCT
ap-1183	161	11	u±	u±	PROPN
ap-1183	161	12	)	)	PUNCT
ap-1183	161	13	∣∣∣	∣∣∣	NOUN
ap-1183	162	1	θ±=θiu±	θ±=θiu±	PROPN
ap-1183	162	2	i	i	PROPN
ap-1183	162	3	,	,	PUNCT
ap-1183	162	4	θ̄±=θ̄iu±	θ̄±=θ̄iu±	PUNCT
ap-1183	162	5	i	i	NOUN
ap-1183	162	6	.	.	PUNCT
ap-1183	163	1	the	the	DET
ap-1183	163	2	real	real	ADJ
ap-1183	163	3	number	number	NOUN
ap-1183	163	4	α	α	NOUN
ap-1183	163	5	�	�	NOUN
ap-1183	163	6	=0	=0	VERB
ap-1183	163	7	in	in	ADP
ap-1183	163	8	(	(	PUNCT
ap-1183	163	9	4.3	4.3	NUM
ap-1183	163	10	)	)	PUNCT
ap-1183	163	11	coincides	coincide	VERB
ap-1183	163	12	with	with	ADP
ap-1183	163	13	the	the	DET
ap-1183	163	14	parameter	parameter	NOUN
ap-1183	163	15	of	of	ADP
ap-1183	163	16	the	the	DET
ap-1183	163	17	n	n	NOUN
ap-1183	163	18	=	=	SYM
ap-1183	163	19	4	4	NUM
ap-1183	163	20	superconformal	superconformal	ADJ
ap-1183	163	21	group	group	NOUN
ap-1183	163	22	d(2	d(2	PROPN
ap-1183	163	23	,	,	PUNCT
ap-1183	163	24	1;α	1;α	NUM
ap-1183	163	25	)	)	PUNCT
ap-1183	163	26	which	which	PRON
ap-1183	163	27	is	be	AUX
ap-1183	163	28	symmetry	symmetry	NOUN
ap-1183	163	29	group	group	NOUN
ap-1183	163	30	of	of	ADP
ap-1183	163	31	the	the	DET
ap-1183	163	32	action	action	NOUN
ap-1183	163	33	(	(	PUNCT
ap-1183	163	34	4.3	4.3	NUM
ap-1183	163	35	)	)	PUNCT
ap-1183	163	36	.	.	PUNCT
ap-1183	164	1	field	field	NOUN
ap-1183	164	2	transformations	transformation	NOUN
ap-1183	164	3	under	under	ADP
ap-1183	164	4	superconformal	superconformal	ADJ
ap-1183	164	5	boosts	boost	NOUN
ap-1183	164	6	are	be	AUX
ap-1183	164	7	(	(	PUNCT
ap-1183	164	8	see	see	VERB
ap-1183	164	9	the	the	DET
ap-1183	164	10	coordinate	coordinate	NOUN
ap-1183	164	11	transformations	transformation	NOUN
ap-1183	164	12	in	in	ADP
ap-1183	164	13	[	[	X
ap-1183	164	14	23	23	NUM
ap-1183	164	15	,	,	PUNCT
ap-1183	164	16	16	16	NUM
ap-1183	164	17	]	]	PUNCT
ap-1183	164	18	)	)	PUNCT
ap-1183	164	19	δx	δx	PROPN
ap-1183	164	20	=	=	SYM
ap-1183	164	21	−λ0x	−λ0x	PROPN
ap-1183	164	22	,	,	PUNCT
ap-1183	164	23	δz+	δz+	ADV
ap-1183	164	24	=	=	SYM
ap-1183	164	25	λz+	λz+	ADJ
ap-1183	164	26	,	,	PUNCT
ap-1183	164	27	δv	δv	ADV
ap-1183	164	28	+	+	PROPN
ap-1183	164	29	+	+	X
ap-1183	164	30	=	=	SYM
ap-1183	164	31	0	0	NUM
ap-1183	164	32	,	,	PUNCT
ap-1183	164	33	(	(	PUNCT
ap-1183	164	34	4.4	4.4	NUM
ap-1183	164	35	)	)	PUNCT
ap-1183	164	36	where	where	SCONJ
ap-1183	164	37	λ	λ	PROPN
ap-1183	164	38	=	=	SYM
ap-1183	164	39	2iα(η̄−θ+−η−θ̄+	2iα(η̄−θ+−η−θ̄+	NUM
ap-1183	164	40	)	)	PUNCT
ap-1183	164	41	,	,	PUNCT
ap-1183	164	42	λ0	λ0	NOUN
ap-1183	164	43	=	=	SYM
ap-1183	164	44	2λ−d−−d++λ	2λ−d−−d++λ	NUM
ap-1183	164	45	.	.	PUNCT
ap-1183	165	1	it	it	PRON
ap-1183	165	2	is	be	AUX
ap-1183	165	3	important	important	ADJ
ap-1183	165	4	that	that	SCONJ
ap-1183	165	5	just	just	ADV
ap-1183	165	6	the	the	DET
ap-1183	165	7	superfield	superfield	ADJ
ap-1183	165	8	multiplier	multipli	ADJ
ap-1183	165	9	v0	v0	NOUN
ap-1183	165	10	in	in	ADP
ap-1183	165	11	the	the	DET
ap-1183	165	12	action	action	NOUN
ap-1183	165	13	provides	provide	VERB
ap-1183	165	14	this	this	DET
ap-1183	165	15	invariance	invariance	NOUN
ap-1183	165	16	due	due	ADP
ap-1183	165	17	to	to	PART
ap-1183	165	18	δv0	δv0	VERB
ap-1183	165	19	=	=	SYM
ap-1183	165	20	−2λv0	−2λv0	PROPN
ap-1183	165	21	(	(	PUNCT
ap-1183	165	22	note	note	VERB
ap-1183	165	23	that	that	SCONJ
ap-1183	165	24	δμ	δμ	PROPN
ap-1183	165	25	(	(	PUNCT
ap-1183	165	26	−2	−2	NOUN
ap-1183	165	27	)	)	PUNCT
ap-1183	165	28	a	a	PRON
ap-1183	165	29	=	=	NOUN
ap-1183	165	30	0	0	NUM
ap-1183	165	31	)	)	PUNCT
ap-1183	165	32	.	.	PUNCT
ap-1183	166	1	the	the	DET
ap-1183	166	2	action	action	NOUN
ap-1183	166	3	(	(	PUNCT
ap-1183	166	4	4.3	4.3	NUM
ap-1183	166	5	)	)	PUNCT
ap-1183	166	6	is	be	AUX
ap-1183	166	7	invariant	invariant	ADJ
ap-1183	166	8	under	under	ADP
ap-1183	166	9	the	the	DET
ap-1183	166	10	local	local	ADJ
ap-1183	166	11	u(n	u(n	PROPN
ap-1183	166	12	)	)	PUNCT
ap-1183	166	13	transformations	transformation	NOUN
ap-1183	166	14	:	:	PUNCT
ap-1183	166	15	x	x	SYM
ap-1183	166	16	′	′	NUM
ap-1183	166	17	=	=	SYM
ap-1183	166	18	eiλxe−iλ	eiλxe−iλ	NOUN
ap-1183	166	19	,	,	PUNCT
ap-1183	166	20	z+′	z+′	X
ap-1183	166	21	=	=	SYM
ap-1183	166	22	eiλz+	eiλz+	NOUN
ap-1183	166	23	,	,	PUNCT
ap-1183	166	24	v	v	ADP
ap-1183	166	25	+	+	NOUN
ap-1183	166	26	+	+	NOUN
ap-1183	166	27	′	′	ADJ
ap-1183	166	28	=	=	NOUN
ap-1183	166	29	eiλ	eiλ	NOUN
ap-1183	166	30	v	v	ADP
ap-1183	166	31	+	+	PROPN
ap-1183	166	32	+	+	PROPN
ap-1183	166	33	e−iλ	e−iλ	NUM
ap-1183	166	34	−	−	NOUN
ap-1183	166	35	i	i	PRON
ap-1183	166	36	eiλ(d++e−iλ	eiλ(d++e−iλ	ADJ
ap-1183	166	37	)	)	PUNCT
ap-1183	166	38	,	,	PUNCT
ap-1183	166	39	(	(	PUNCT
ap-1183	166	40	4.5	4.5	NUM
ap-1183	166	41	)	)	PUNCT
ap-1183	166	42	where	where	SCONJ
ap-1183	166	43	λb	λb	ADP
ap-1183	166	44	a(ζ	a(ζ	PROPN
ap-1183	166	45	,	,	PUNCT
ap-1183	166	46	u±	u±	PROPN
ap-1183	166	47	)	)	PUNCT
ap-1183	166	48	∈	∈	PROPN
ap-1183	166	49	u(n	u(n	PROPN
ap-1183	166	50	)	)	PUNCT
ap-1183	166	51	is	be	AUX
ap-1183	166	52	the	the	DET
ap-1183	166	53	‘	'	PUNCT
ap-1183	166	54	hermitian	hermitian	ADJ
ap-1183	166	55	’	'	PUNCT
ap-1183	166	56	analytic	analytic	ADJ
ap-1183	166	57	matrix	matrix	NOUN
ap-1183	166	58	parameter	parameter	NOUN
ap-1183	166	59	,	,	PUNCT
ap-1183	166	60	λ̃	λ̃	PROPN
ap-1183	166	61	=	=	SYM
ap-1183	166	62	λ	λ	PROPN
ap-1183	166	63	.	.	PUNCT
ap-1183	166	64	using	use	VERB
ap-1183	166	65	gauge	gauge	ADJ
ap-1183	166	66	freedom	freedom	NOUN
ap-1183	166	67	(	(	PUNCT
ap-1183	166	68	4.5	4.5	NUM
ap-1183	166	69	)	)	PUNCT
ap-1183	166	70	we	we	PRON
ap-1183	166	71	choose	choose	VERB
ap-1183	166	72	the	the	DET
ap-1183	166	73	wz	wz	PROPN
ap-1183	166	74	gauge	gauge	NOUN
ap-1183	166	75	v	v	ADP
ap-1183	166	76	+	+	PROPN
ap-1183	166	77	+	+	PROPN
ap-1183	167	1	=	=	SYM
ap-1183	167	2	−2i	−2i	PROPN
ap-1183	167	3	θ+θ̄+a(ta	θ+θ̄+a(ta	NUM
ap-1183	167	4	)	)	PUNCT
ap-1183	167	5	.	.	PUNCT
ap-1183	168	1	(	(	PUNCT
ap-1183	168	2	4.6	4.6	NUM
ap-1183	168	3	)	)	PUNCT
ap-1183	168	4	considering	consider	VERB
ap-1183	168	5	the	the	DET
ap-1183	168	6	case	case	NOUN
ap-1183	168	7	α	α	X
ap-1183	168	8	=	=	SYM
ap-1183	168	9	−1	−1	NOUN
ap-1183	168	10	2	2	NUM
ap-1183	168	11	(	(	PUNCT
ap-1183	168	12	when	when	SCONJ
ap-1183	168	13	d(2	d(2	PROPN
ap-1183	168	14	,	,	PUNCT
ap-1183	168	15	1;α	1;α	NUM
ap-1183	168	16	)	)	PUNCT
ap-1183	168	17	�	�	PROPN
ap-1183	168	18	osp(4|2	osp(4|2	NOUN
ap-1183	168	19	)	)	PUNCT
ap-1183	168	20	)	)	PUNCT
ap-1183	168	21	in	in	ADP
ap-1183	168	22	the	the	DET
ap-1183	168	23	wz	wz	PROPN
ap-1183	168	24	gauge	gauge	NOUN
ap-1183	168	25	and	and	CCONJ
ap-1183	168	26	eliminating	eliminate	VERB
ap-1183	168	27	auxiliary	auxiliary	ADJ
ap-1183	168	28	and	and	CCONJ
ap-1183	168	29	gauge	gauge	NOUN
ap-1183	168	30	fields	field	NOUN
ap-1183	168	31	,	,	PUNCT
ap-1183	168	32	we	we	PRON
ap-1183	168	33	find	find	VERB
ap-1183	168	34	that	that	SCONJ
ap-1183	168	35	the	the	DET
ap-1183	168	36	action	action	NOUN
ap-1183	168	37	(	(	PUNCT
ap-1183	168	38	4.3	4.3	NUM
ap-1183	168	39	)	)	PUNCT
ap-1183	168	40	has	have	VERB
ap-1183	168	41	the	the	DET
ap-1183	168	42	following	follow	VERB
ap-1183	168	43	bosonic	bosonic	NOUN
ap-1183	168	44	limit	limit	NOUN
ap-1183	168	45	s	s	PART
ap-1183	168	46	α=−1/2	α=−1/2	NOUN
ap-1183	169	1	4,b	4,b	PROPN
ap-1183	170	1	=	=	SYM
ap-1183	170	2	∫	∫	PROPN
ap-1183	170	3	dt	dt	X
ap-1183	170	4	{	{	PUNCT
ap-1183	170	5	∑	∑	PROPN
ap-1183	170	6	a	a	PRON
ap-1183	170	7	ẋaẋa	ẋaẋa	PROPN
ap-1183	171	1	+	+	NUM
ap-1183	171	2	i	i	NOUN
ap-1183	171	3	2	2	NUM
ap-1183	171	4	∑	∑	NOUN
ap-1183	171	5	a	a	PRON
ap-1183	171	6	(	(	PUNCT
ap-1183	171	7	z̄a	z̄a	PROPN
ap-1183	171	8	k	k	PROPN
ap-1183	171	9	żk	żk	PROPN
ap-1183	171	10	a	a	DET
ap-1183	171	11	−	−	PROPN
ap-1183	171	12	˙̄za	˙̄za	NOUN
ap-1183	171	13	kzk	kzk	VERB
ap-1183	171	14	a	a	PRON
ap-1183	171	15	)	)	PUNCT
ap-1183	172	1	+	+	CCONJ
ap-1183	172	2	∑	∑	PROPN
ap-1183	172	3	a	a	DET
ap-1183	172	4	�	�	PROPN
ap-1183	172	5	=b	=b	NOUN
ap-1183	172	6	tr(sasb	tr(sasb	NOUN
ap-1183	172	7	)	)	PUNCT
ap-1183	172	8	4(xa	4(xa	NUM
ap-1183	173	1	−	−	NOUN
ap-1183	173	2	xb)2	xb)2	PROPN
ap-1183	173	3	−	−	PROPN
ap-1183	173	4	ntr(ŝŝ	ntr(ŝŝ	PROPN
ap-1183	173	5	)	)	PUNCT
ap-1183	173	6	2(x0)2	2(x0)2	NUM
ap-1183	173	7	⎫⎬⎭	⎫⎬⎭	NOUN
ap-1183	173	8	,	,	PUNCT
ap-1183	173	9	(	(	PUNCT
ap-1183	173	10	4.7	4.7	NUM
ap-1183	173	11	)	)	PUNCT
ap-1183	173	12	where	where	SCONJ
ap-1183	173	13	(	(	PUNCT
ap-1183	173	14	sa)ij	sa)ij	X
ap-1183	173	15	≡	≡	PROPN
ap-1183	173	16	z̄a	z̄a	PROPN
ap-1183	173	17	i	i	PROPN
ap-1183	173	18	zj	zj	PROPN
ap-1183	173	19	a	a	PROPN
ap-1183	173	20	,	,	PUNCT
ap-1183	173	21	(	(	PUNCT
ap-1183	173	22	ŝ)ij	ŝ)ij	PROPN
ap-1183	173	23	≡	≡	PROPN
ap-1183	173	24	∑	∑	PROPN
ap-1183	173	25	a	a	DET
ap-1183	173	26	[	[	PUNCT
ap-1183	173	27	(	(	PUNCT
ap-1183	173	28	sa)ij	sa)ij	X
ap-1183	173	29	−	−	PROPN
ap-1183	173	30	1	1	NUM
ap-1183	173	31	2	2	NUM
ap-1183	173	32	δj	δj	NOUN
ap-1183	173	33	i	i	PRON
ap-1183	173	34	(	(	PUNCT
ap-1183	173	35	sa)kk	sa)kk	PUNCT
ap-1183	173	36	]	]	PUNCT
ap-1183	173	37	.	.	PUNCT
ap-1183	174	1	the	the	DET
ap-1183	174	2	fields	field	NOUN
ap-1183	174	3	xa	xa	PROPN
ap-1183	174	4	are	be	AUX
ap-1183	174	5	“	"	PUNCT
ap-1183	174	6	diagonal	diagonal	ADJ
ap-1183	174	7	”	"	PUNCT
ap-1183	174	8	fields	field	NOUN
ap-1183	174	9	in	in	ADP
ap-1183	174	10	x	x	X
ap-1183	174	11	=	=	PUNCT
ap-1183	174	12	x|	x|	PROPN
ap-1183	174	13	.	.	PUNCT
ap-1183	175	1	the	the	DET
ap-1183	175	2	fields	field	NOUN
ap-1183	175	3	zi	zi	PROPN
ap-1183	175	4	define	define	VERB
ap-1183	175	5	first	first	ADJ
ap-1183	175	6	components	component	NOUN
ap-1183	175	7	in	in	ADP
ap-1183	175	8	z+	z+	NOUN
ap-1183	175	9	,	,	PUNCT
ap-1183	175	10	z+|	z+|	PROPN
ap-1183	175	11	=	=	SYM
ap-1183	175	12	ziu+i	ziu+i	NUM
ap-1183	175	13	.	.	PUNCT
ap-1183	176	1	they	they	PRON
ap-1183	176	2	are	be	AUX
ap-1183	176	3	subject	subject	ADJ
ap-1183	176	4	to	to	ADP
ap-1183	176	5	the	the	DET
ap-1183	176	6	constraints	constraint	NOUN
ap-1183	176	7	z̄a	z̄a	VERB
ap-1183	176	8	i	i	PRON
ap-1183	176	9	zi	zi	VERB
ap-1183	177	1	a	a	DET
ap-1183	177	2	=	=	X
ap-1183	177	3	c	c	X
ap-1183	177	4	∀	∀	NOUN
ap-1183	177	5	a	a	DET
ap-1183	177	6	.	.	PUNCT
ap-1183	178	1	(	(	PUNCT
ap-1183	178	2	4.8	4.8	NUM
ap-1183	178	3	)	)	PUNCT
ap-1183	178	4	these	these	DET
ap-1183	178	5	constraints	constraint	NOUN
ap-1183	178	6	are	be	AUX
ap-1183	178	7	generated	generate	VERB
ap-1183	178	8	by	by	ADP
ap-1183	178	9	the	the	DET
ap-1183	178	10	equations	equation	NOUN
ap-1183	178	11	of	of	ADP
ap-1183	178	12	motion	motion	NOUN
ap-1183	178	13	with	with	ADP
ap-1183	178	14	respect	respect	NOUN
ap-1183	178	15	to	to	ADP
ap-1183	178	16	the	the	DET
ap-1183	178	17	diagonal	diagonal	ADJ
ap-1183	178	18	components	component	NOUN
ap-1183	178	19	of	of	ADP
ap-1183	178	20	gauge	gauge	ADJ
ap-1183	178	21	field	field	NOUN
ap-1183	178	22	a.	a.	NOUN
ap-1183	178	23	using	use	VERB
ap-1183	178	24	dirac	dirac	NOUN
ap-1183	178	25	brackets	bracket	NOUN
ap-1183	179	1	[	[	X
ap-1183	179	2	z̄a	z̄a	VERB
ap-1183	179	3	i	i	PRON
ap-1183	179	4	,	,	PUNCT
ap-1183	179	5	zj	zj	PROPN
ap-1183	179	6	b	b	X
ap-1183	180	1	]	]	X
ap-1183	180	2	d	d	X
ap-1183	180	3	=	=	SYM
ap-1183	180	4	iδa	iδa	PROPN
ap-1183	180	5	b	b	NUM
ap-1183	180	6	δj	δj	VERB
ap-1183	180	7	i	i	PRON
ap-1183	180	8	,	,	PUNCT
ap-1183	180	9	which	which	PRON
ap-1183	180	10	are	be	AUX
ap-1183	180	11	generated	generate	VERB
ap-1183	180	12	by	by	ADP
ap-1183	180	13	the	the	DET
ap-1183	180	14	kinetic	kinetic	NOUN
ap-1183	180	15	wz	wz	ADP
ap-1183	180	16	term	term	NOUN
ap-1183	180	17	for	for	ADP
ap-1183	180	18	z	z	PROPN
ap-1183	180	19	,	,	PUNCT
ap-1183	180	20	we	we	PRON
ap-1183	180	21	find	find	VERB
ap-1183	180	22	that	that	SCONJ
ap-1183	180	23	the	the	DET
ap-1183	180	24	quantities	quantity	NOUN
ap-1183	180	25	sa	sa	VERB
ap-1183	180	26	for	for	ADP
ap-1183	180	27	each	each	DET
ap-1183	180	28	a	a	DET
ap-1183	180	29	form	form	NOUN
ap-1183	180	30	u(2	u(2	NOUN
ap-1183	180	31	)	)	PUNCT
ap-1183	180	32	algebras	algebra	VERB
ap-1183	181	1	[	[	X
ap-1183	181	2	(	(	PUNCT
ap-1183	181	3	sa)i	sa)i	PROPN
ap-1183	181	4	j	j	PROPN
ap-1183	181	5	,	,	PUNCT
ap-1183	181	6	(	(	PUNCT
ap-1183	181	7	sb)k	sb)k	PROPN
ap-1183	181	8	l]d	l]d	PROPN
ap-1183	181	9	=	=	SYM
ap-1183	181	10	iδab	iδab	PROPN
ap-1183	181	11	{	{	PUNCT
ap-1183	181	12	δl	δl	PROPN
ap-1183	181	13	i(sa)k	i(sa)k	PROPN
ap-1183	181	14	j	j	PROPN
ap-1183	181	15	−	−	PROPN
ap-1183	181	16	δj	δj	ADP
ap-1183	181	17	k(sa)i	k(sa)i	PROPN
ap-1183	181	18	l	l	PROPN
ap-1183	181	19	}	}	PUNCT
ap-1183	181	20	.	.	PUNCT
ap-1183	182	1	thus	thus	ADV
ap-1183	182	2	modulo	modulo	VERB
ap-1183	182	3	center	center	NOUN
ap-1183	182	4	-	-	PUNCT
ap-1183	182	5	of	of	ADP
ap-1183	182	6	-	-	PUNCT
ap-1183	182	7	mass	mass	NOUN
ap-1183	182	8	conformal	conformal	NOUN
ap-1183	182	9	potential	potential	NOUN
ap-1183	182	10	(	(	PUNCT
ap-1183	182	11	up	up	ADP
ap-1183	182	12	to	to	ADP
ap-1183	182	13	the	the	DET
ap-1183	182	14	last	last	ADJ
ap-1183	182	15	term	term	NOUN
ap-1183	182	16	in	in	ADP
ap-1183	182	17	(	(	PUNCT
ap-1183	182	18	4.7	4.7	NUM
ap-1183	182	19	)	)	PUNCT
ap-1183	182	20	)	)	PUNCT
ap-1183	182	21	,	,	PUNCT
ap-1183	182	22	the	the	DET
ap-1183	182	23	bosonic	bosonic	PROPN
ap-1183	182	24	limit	limit	NOUN
ap-1183	182	25	(	(	PUNCT
ap-1183	182	26	4.7	4.7	NUM
ap-1183	182	27	)	)	PUNCT
ap-1183	182	28	is	be	AUX
ap-1183	182	29	none	none	NOUN
ap-1183	182	30	other	other	ADJ
ap-1183	182	31	than	than	ADP
ap-1183	182	32	the	the	DET
ap-1183	182	33	integrable	integrable	ADJ
ap-1183	182	34	u(2)-spin	u(2)-spin	ADJ
ap-1183	182	35	calogero	calogero	PROPN
ap-1183	182	36	model	model	NOUN
ap-1183	182	37	in	in	ADP
ap-1183	182	38	the	the	DET
ap-1183	182	39	formulation	formulation	NOUN
ap-1183	182	40	of	of	ADP
ap-1183	182	41	[	[	X
ap-1183	182	42	25	25	NUM
ap-1183	182	43	,	,	PUNCT
ap-1183	182	44	3	3	NUM
ap-1183	182	45	]	]	PUNCT
ap-1183	182	46	.	.	PUNCT
ap-1183	183	1	except	except	SCONJ
ap-1183	183	2	for	for	ADP
ap-1183	183	3	the	the	DET
ap-1183	183	4	case	case	NOUN
ap-1183	183	5	α	α	X
ap-1183	183	6	=	=	SYM
ap-1183	183	7	−1	−1	NOUN
ap-1183	183	8	2	2	NUM
ap-1183	183	9	,	,	PUNCT
ap-1183	183	10	the	the	DET
ap-1183	183	11	action	action	NOUN
ap-1183	183	12	(	(	PUNCT
ap-1183	183	13	4.3	4.3	NUM
ap-1183	183	14	)	)	PUNCT
ap-1183	183	15	yields	yield	VERB
ap-1183	183	16	non	non	ADJ
ap-1183	183	17	-	-	ADJ
ap-1183	183	18	trivial	trivial	ADJ
ap-1183	183	19	sigma	sigma	ADJ
ap-1183	183	20	-	-	PUNCT
ap-1183	183	21	model	model	NOUN
ap-1183	183	22	type	type	NOUN
ap-1183	183	23	kinetic	kinetic	ADJ
ap-1183	183	24	term	term	NOUN
ap-1183	183	25	for	for	ADP
ap-1183	183	26	the	the	DET
ap-1183	183	27	field	field	NOUN
ap-1183	183	28	x	x	PUNCT
ap-1183	184	1	=	=	X
ap-1183	184	2	x|	x|	PROPN
ap-1183	184	3	.	.	PUNCT
ap-1183	185	1	for	for	ADP
ap-1183	185	2	α	α	NOUN
ap-1183	185	3	=	=	SYM
ap-1183	185	4	0	0	NUM
ap-1183	185	5	it	it	PRON
ap-1183	185	6	is	be	AUX
ap-1183	185	7	necessary	necessary	ADJ
ap-1183	185	8	to	to	PART
ap-1183	185	9	modify	modify	VERB
ap-1183	185	10	the	the	DET
ap-1183	185	11	transformation	transformation	NOUN
ap-1183	185	12	law	law	NOUN
ap-1183	185	13	of	of	ADP
ap-1183	185	14	x	x	PUNCT
ap-1183	185	15	in	in	ADP
ap-1183	185	16	the	the	DET
ap-1183	185	17	following	follow	VERB
ap-1183	185	18	way	way	NOUN
ap-1183	186	1	[	[	X
ap-1183	186	2	16	16	NUM
ap-1183	186	3	]	]	X
ap-1183	186	4	δmodx	δmodx	NOUN
ap-1183	186	5	=	=	NOUN
ap-1183	186	6	2i(θkη̄k	2i(θkη̄k	NUM
ap-1183	186	7	+	+	CCONJ
ap-1183	186	8	θ̄kηk	θ̄kηk	X
ap-1183	186	9	)	)	PUNCT
ap-1183	186	10	.	.	PUNCT
ap-1183	187	1	(	(	PUNCT
ap-1183	187	2	4.9	4.9	NUM
ap-1183	187	3	)	)	PUNCT
ap-1183	187	4	26	26	NUM
ap-1183	187	5	acta	acta	PROPN
ap-1183	187	6	polytechnica	polytechnica	PROPN
ap-1183	187	7	vol	vol	NOUN
ap-1183	187	8	.	.	PROPN
ap-1183	188	1	50	50	NUM
ap-1183	188	2	no	no	NOUN
ap-1183	188	3	.	.	PUNCT
ap-1183	189	1	3/2010	3/2010	NOUN
ap-1183	189	2	then	then	ADV
ap-1183	189	3	the	the	DET
ap-1183	189	4	d(2	d(2	PROPN
ap-1183	189	5	,	,	PUNCT
ap-1183	189	6	1;α	1;α	NUM
ap-1183	189	7	=	=	SYM
ap-1183	189	8	0	0	NUM
ap-1183	189	9	)	)	PUNCT
ap-1183	189	10	superconformal	superconformal	ADJ
ap-1183	189	11	action	action	NOUN
ap-1183	189	12	reads	read	VERB
ap-1183	189	13	sα=0	sα=0	ADJ
ap-1183	189	14	4	4	NUM
ap-1183	189	15	=	=	SYM
ap-1183	189	16	−1	−1	NOUN
ap-1183	189	17	4	4	NUM
ap-1183	189	18	∫	∫	NOUN
ap-1183	189	19	μh	μh	NUM
ap-1183	189	20	tr	tr	VERB
ap-1183	189	21	(	(	PUNCT
ap-1183	189	22	ex	ex	X
ap-1183	189	23	)	)	PUNCT
ap-1183	190	1	+	+	CCONJ
ap-1183	190	2	(	(	PUNCT
ap-1183	190	3	4.10	4.10	NUM
ap-1183	190	4	)	)	PUNCT
ap-1183	190	5	1	1	NUM
ap-1183	190	6	2	2	NUM
ap-1183	190	7	∫	∫	NOUN
ap-1183	190	8	μ	μ	PROPN
ap-1183	190	9	(	(	PUNCT
ap-1183	190	10	−2	−2	PROPN
ap-1183	190	11	)	)	PUNCT
ap-1183	190	12	a	a	PRON
ap-1183	190	13	z̃+z+	z̃+z+	X
ap-1183	191	1	+	+	NUM
ap-1183	191	2	i	i	NOUN
ap-1183	191	3	2	2	NUM
ap-1183	191	4	c	c	NOUN
ap-1183	191	5	∫	∫	PROPN
ap-1183	191	6	μ	μ	PROPN
ap-1183	191	7	(	(	PUNCT
ap-1183	191	8	−2	−2	PROPN
ap-1183	191	9	)	)	PUNCT
ap-1183	191	10	a	a	DET
ap-1183	191	11	trv	trv	PROPN
ap-1183	191	12	+	+	PROPN
ap-1183	192	1	+	+	PROPN
ap-1183	192	2	.	.	PUNCT
ap-1183	193	1	the	the	DET
ap-1183	193	2	d(2	d(2	PROPN
ap-1183	193	3	,	,	PUNCT
ap-1183	193	4	1;α	1;α	NUM
ap-1183	193	5	=	=	SYM
ap-1183	193	6	0	0	NUM
ap-1183	193	7	)	)	PUNCT
ap-1183	193	8	superconformal	superconformal	ADJ
ap-1183	193	9	invariance	invariance	NOUN
ap-1183	193	10	is	be	AUX
ap-1183	193	11	not	not	PART
ap-1183	193	12	compatible	compatible	ADJ
ap-1183	193	13	with	with	ADP
ap-1183	193	14	the	the	DET
ap-1183	193	15	presence	presence	NOUN
ap-1183	193	16	of	of	ADP
ap-1183	193	17	v	v	NOUN
ap-1183	193	18	in	in	ADP
ap-1183	193	19	the	the	DET
ap-1183	193	20	wz	wz	PROPN
ap-1183	193	21	term	term	NOUN
ap-1183	193	22	of	of	ADP
ap-1183	193	23	the	the	DET
ap-1183	193	24	action	action	NOUN
ap-1183	193	25	(	(	PUNCT
ap-1183	193	26	4.10	4.10	NUM
ap-1183	193	27	)	)	PUNCT
ap-1183	193	28	,	,	PUNCT
ap-1183	193	29	still	still	ADV
ap-1183	193	30	implying	imply	VERB
ap-1183	193	31	the	the	DET
ap-1183	193	32	transformation	transformation	NOUN
ap-1183	193	33	laws	law	NOUN
ap-1183	193	34	(	(	PUNCT
ap-1183	193	35	4.4	4.4	NUM
ap-1183	193	36	)	)	PUNCT
ap-1183	193	37	for	for	ADP
ap-1183	193	38	z+	z+	NUM
ap-1183	193	39	and	and	CCONJ
ap-1183	193	40	for	for	ADP
ap-1183	193	41	v	v	DET
ap-1183	193	42	+	+	NOUN
ap-1183	193	43	+	+	PROPN
ap-1183	193	44	.	.	PUNCT
ap-1183	194	1	this	this	DET
ap-1183	194	2	situation	situation	NOUN
ap-1183	194	3	is	be	AUX
ap-1183	194	4	quite	quite	ADV
ap-1183	194	5	analogous	analogous	ADJ
ap-1183	194	6	to	to	ADP
ap-1183	194	7	what	what	PRON
ap-1183	194	8	happens	happen	VERB
ap-1183	194	9	in	in	ADP
ap-1183	194	10	the	the	DET
ap-1183	194	11	n	n	NOUN
ap-1183	194	12	=	=	SYM
ap-1183	194	13	2	2	NUM
ap-1183	194	14	super	super	X
ap-1183	194	15	calogero	calogero	PROPN
ap-1183	194	16	model	model	NOUN
ap-1183	194	17	considered	consider	VERB
ap-1183	194	18	in	in	ADP
ap-1183	194	19	sect	sect	NOUN
ap-1183	194	20	.	.	PUNCT
ap-1183	195	1	3	3	NUM
ap-1183	195	2	,	,	PUNCT
ap-1183	195	3	where	where	SCONJ
ap-1183	195	4	the	the	DET
ap-1183	195	5	center	center	NOUN
ap-1183	195	6	-	-	PUNCT
ap-1183	195	7	of	of	ADP
ap-1183	195	8	-	-	PUNCT
ap-1183	195	9	mass	mass	NOUN
ap-1183	195	10	supermultiplet	supermultiplet	NOUN
ap-1183	195	11	tr(x	tr(x	NUM
ap-1183	195	12	)	)	PUNCT
ap-1183	195	13	decouples	decouple	NOUN
ap-1183	195	14	from	from	ADP
ap-1183	195	15	the	the	DET
ap-1183	195	16	wz	wz	PROPN
ap-1183	195	17	and	and	CCONJ
ap-1183	195	18	gauge	gauge	ADJ
ap-1183	195	19	supermultiplets	supermultiplet	NOUN
ap-1183	195	20	.	.	PUNCT
ap-1183	196	1	note	note	VERB
ap-1183	196	2	that	that	SCONJ
ap-1183	196	3	the	the	DET
ap-1183	196	4	(	(	PUNCT
ap-1183	196	5	matrix)x	matrix)x	NOUN
ap-1183	196	6	supermultiplet	supermultiplet	NOUN
ap-1183	196	7	interacts	interact	VERB
ap-1183	196	8	with	with	ADP
ap-1183	196	9	the	the	DET
ap-1183	196	10	(	(	PUNCT
ap-1183	196	11	column	column	NOUN
ap-1183	196	12	)	)	PUNCT
ap-1183	196	13	z	z	NOUN
ap-1183	196	14	supermultiplet	supermultiplet	NOUN
ap-1183	196	15	in	in	ADP
ap-1183	196	16	(	(	PUNCT
ap-1183	196	17	3.1	3.1	NUM
ap-1183	196	18	)	)	PUNCT
ap-1183	196	19	and	and	CCONJ
ap-1183	196	20	(	(	PUNCT
ap-1183	196	21	4.10	4.10	NUM
ap-1183	196	22	)	)	PUNCT
ap-1183	196	23	via	via	ADP
ap-1183	196	24	the	the	DET
ap-1183	196	25	gauge	gauge	NOUN
ap-1183	196	26	supermultiplet	supermultiplet	NOUN
ap-1183	196	27	.	.	PUNCT
ap-1183	197	1	5	5	NUM
ap-1183	197	2	d(2	d(2	PROPN
ap-1183	197	3	,	,	PUNCT
ap-1183	197	4	1;α	1;α	NUM
ap-1183	197	5	)	)	PUNCT
ap-1183	197	6	quantum	quantum	NOUN
ap-1183	197	7	mechanics	mechanic	NOUN
ap-1183	197	8	the	the	DET
ap-1183	197	9	n	n	NOUN
ap-1183	197	10	=	=	SYM
ap-1183	197	11	1	1	NUM
ap-1183	197	12	case	case	NOUN
ap-1183	197	13	of	of	ADP
ap-1183	197	14	the	the	DET
ap-1183	197	15	n	n	NOUN
ap-1183	197	16	=	=	SYM
ap-1183	197	17	4	4	NUM
ap-1183	197	18	calogero	calogero	NOUN
ap-1183	197	19	-	-	PUNCT
ap-1183	197	20	like	like	ADJ
ap-1183	197	21	model	model	NOUN
ap-1183	197	22	(	(	PUNCT
ap-1183	197	23	4.3	4.3	NUM
ap-1183	197	24	)	)	PUNCT
ap-1183	197	25	above	above	ADV
ap-1183	197	26	(	(	PUNCT
ap-1183	197	27	the	the	DET
ap-1183	197	28	center	center	NOUN
ap-1183	197	29	-	-	PUNCT
ap-1183	197	30	of	of	ADP
ap-1183	197	31	-	-	PUNCT
ap-1183	197	32	mass	mass	NOUN
ap-1183	197	33	coordinate	coordinate	NOUN
ap-1183	197	34	case	case	NOUN
ap-1183	197	35	)	)	PUNCT
ap-1183	197	36	amounts	amount	VERB
ap-1183	197	37	to	to	ADP
ap-1183	197	38	a	a	DET
ap-1183	197	39	non	non	ADJ
ap-1183	197	40	-	-	ADJ
ap-1183	197	41	trivial	trivial	ADJ
ap-1183	197	42	model	model	NOUN
ap-1183	197	43	of	of	ADP
ap-1183	197	44	n	n	NOUN
ap-1183	197	45	=	=	SYM
ap-1183	197	46	4	4	NUM
ap-1183	197	47	superconformal	superconformal	ADJ
ap-1183	197	48	mechanics	mechanic	NOUN
ap-1183	197	49	.	.	PUNCT
ap-1183	198	1	choosing	choose	VERB
ap-1183	198	2	the	the	DET
ap-1183	198	3	wz	wz	PROPN
ap-1183	198	4	gauge	gauge	NOUN
ap-1183	198	5	(	(	PUNCT
ap-1183	198	6	4.6	4.6	NUM
ap-1183	198	7	)	)	PUNCT
ap-1183	198	8	and	and	CCONJ
ap-1183	198	9	eliminating	eliminate	VERB
ap-1183	198	10	the	the	DET
ap-1183	198	11	auxiliary	auxiliary	ADJ
ap-1183	198	12	fields	field	NOUN
ap-1183	198	13	by	by	ADP
ap-1183	198	14	their	their	PRON
ap-1183	198	15	algebraic	algebraic	ADJ
ap-1183	198	16	equations	equation	NOUN
ap-1183	198	17	of	of	ADP
ap-1183	198	18	motion	motion	NOUN
ap-1183	198	19	,	,	PUNCT
ap-1183	198	20	we	we	PRON
ap-1183	198	21	obtain	obtain	VERB
ap-1183	198	22	that	that	SCONJ
ap-1183	198	23	the	the	DET
ap-1183	198	24	action	action	NOUN
ap-1183	198	25	takes	take	VERB
ap-1183	198	26	the	the	DET
ap-1183	198	27	following	follow	VERB
ap-1183	198	28	on	on	ADP
ap-1183	198	29	-	-	PUNCT
ap-1183	198	30	shell	shell	NOUN
ap-1183	198	31	form	form	NOUN
ap-1183	198	32	s	s	PART
ap-1183	198	33	=	=	X
ap-1183	198	34	sb	sb	PROPN
ap-1183	198	35	+	+	PROPN
ap-1183	198	36	sf	sf	PROPN
ap-1183	199	1	,	,	PUNCT
ap-1183	199	2	(	(	PUNCT
ap-1183	199	3	5.1	5.1	NUM
ap-1183	199	4	)	)	PUNCT
ap-1183	199	5	sb	sb	PROPN
ap-1183	199	6	=	=	SYM
ap-1183	199	7	∫	∫	PROPN
ap-1183	199	8	dt	dt	X
ap-1183	200	1	[	[	PUNCT
ap-1183	200	2	ẋẋ+	ẋẋ+	NOUN
ap-1183	200	3	i	i	NOUN
ap-1183	200	4	2	2	NUM
ap-1183	200	5	(	(	PUNCT
ap-1183	200	6	z̄kżk	z̄kżk	PROPN
ap-1183	200	7	−	−	PROPN
ap-1183	200	8	˙̄zkzk	˙̄zkzk	PROPN
ap-1183	200	9	)	)	PUNCT
ap-1183	200	10	−	−	PROPN
ap-1183	200	11	(	(	PUNCT
ap-1183	200	12	5.2	5.2	NUM
ap-1183	200	13	)	)	PUNCT
ap-1183	200	14	α2(z̄kzk)2	α2(z̄kzk)2	NOUN
ap-1183	200	15	4x2	4x2	NUM
ap-1183	200	16	−a	−a	NOUN
ap-1183	200	17	(	(	PUNCT
ap-1183	200	18	z̄kzk	z̄kzk	ADV
ap-1183	200	19	−	−	PROPN
ap-1183	200	20	c	c	NOUN
ap-1183	200	21	)	)	PUNCT
ap-1183	200	22	]	]	PUNCT
ap-1183	200	23	,	,	PUNCT
ap-1183	200	24	sf	sf	PROPN
ap-1183	200	25	=	=	PUNCT
ap-1183	200	26	−i	−i	ADJ
ap-1183	200	27	∫	∫	INTJ
ap-1183	200	28	dt	dt	X
ap-1183	200	29	(	(	PUNCT
ap-1183	200	30	ψ̄kψ̇k	ψ̄kψ̇k	PROPN
ap-1183	200	31	−	−	PROPN
ap-1183	200	32	˙̄ψkψk	˙̄ψkψk	NUM
ap-1183	200	33	)	)	PUNCT
ap-1183	201	1	+	+	CCONJ
ap-1183	201	2	(	(	PUNCT
ap-1183	201	3	5.3	5.3	NUM
ap-1183	201	4	)	)	PUNCT
ap-1183	201	5	2α	2α	NOUN
ap-1183	201	6	∫	∫	PROPN
ap-1183	201	7	dt	dt	X
ap-1183	201	8	ψiψ̄kz(iz̄k	ψiψ̄kz(iz̄k	PROPN
ap-1183	201	9	)	)	PUNCT
ap-1183	202	1	x2	x2	PROPN
ap-1183	203	1	+	+	CCONJ
ap-1183	203	2	2	2	NUM
ap-1183	203	3	3	3	NUM
ap-1183	203	4	(	(	PUNCT
ap-1183	203	5	1	1	NUM
ap-1183	203	6	+	+	NUM
ap-1183	203	7	2α	2α	NOUN
ap-1183	203	8	)	)	PUNCT
ap-1183	203	9	∫	∫	PROPN
ap-1183	203	10	dt	dt	PROPN
ap-1183	203	11	ψiψ̄kψ(iψ̄k	ψiψ̄kψ(iψ̄k	PROPN
ap-1183	203	12	)	)	PUNCT
ap-1183	204	1	x2	x2	PROPN
ap-1183	204	2	.	.	PUNCT
ap-1183	205	1	the	the	DET
ap-1183	205	2	action	action	NOUN
ap-1183	205	3	(	(	PUNCT
ap-1183	205	4	5.1	5.1	NUM
ap-1183	205	5	)	)	PUNCT
ap-1183	205	6	possesses	possess	VERB
ap-1183	205	7	d(2	d(2	PROPN
ap-1183	205	8	,	,	PUNCT
ap-1183	205	9	1;α	1;α	NUM
ap-1183	205	10	)	)	PUNCT
ap-1183	205	11	superconformal	superconformal	ADJ
ap-1183	205	12	invariance	invariance	NOUN
ap-1183	205	13	.	.	PUNCT
ap-1183	206	1	using	use	VERB
ap-1183	206	2	the	the	DET
ap-1183	206	3	nöther	nöther	ADJ
ap-1183	206	4	procedure	procedure	NOUN
ap-1183	206	5	,	,	PUNCT
ap-1183	206	6	we	we	PRON
ap-1183	206	7	find	find	VERB
ap-1183	206	8	the	the	DET
ap-1183	206	9	d(2	d(2	PROPN
ap-1183	206	10	,	,	PUNCT
ap-1183	206	11	1;α	1;α	NUM
ap-1183	206	12	)	)	PUNCT
ap-1183	206	13	generators	generator	NOUN
ap-1183	206	14	.	.	PUNCT
ap-1183	207	1	the	the	DET
ap-1183	207	2	quantum	quantum	PROPN
ap-1183	207	3	counterparts	counterpart	NOUN
ap-1183	207	4	of	of	ADP
ap-1183	207	5	them	they	PRON
ap-1183	207	6	are	be	AUX
ap-1183	207	7	qi	qi	NOUN
ap-1183	207	8	=	=	NOUN
ap-1183	207	9	pψi	pψi	NOUN
ap-1183	207	10	+	+	CCONJ
ap-1183	207	11	2iα	2iα	ADJ
ap-1183	207	12	z(iz̄k)ψk	z(iz̄k)ψk	NOUN
ap-1183	208	1	x	x	PUNCT
ap-1183	209	1	+	+	PUNCT
ap-1183	209	2	(	(	PUNCT
ap-1183	209	3	5.4	5.4	NUM
ap-1183	209	4	)	)	PUNCT
ap-1183	209	5	i(1	i(1	PROPN
ap-1183	209	6	+	+	ADP
ap-1183	209	7	2α	2α	NOUN
ap-1183	209	8	)	)	PUNCT
ap-1183	210	1	〈	〈	NOUN
ap-1183	210	2	ψkψkψ̄i	ψkψkψ̄i	VERB
ap-1183	210	3	〉	〉	NUM
ap-1183	210	4	x	x	NOUN
ap-1183	210	5	,	,	PUNCT
ap-1183	210	6	q̄i	q̄i	NOUN
ap-1183	210	7	=	=	NOUN
ap-1183	210	8	p	p	NOUN
ap-1183	210	9	ψ̄i	ψ̄i	NOUN
ap-1183	210	10	−	−	NOUN
ap-1183	210	11	2iα	2iα	ADJ
ap-1183	210	12	z(iz̄k)ψ̄k	z(iz̄k)ψ̄k	NOUN
ap-1183	210	13	x	x	SYM
ap-1183	210	14	+	+	CCONJ
ap-1183	210	15	(	(	PUNCT
ap-1183	210	16	5.5	5.5	NUM
ap-1183	210	17	)	)	PUNCT
ap-1183	210	18	i(1	i(1	PROPN
ap-1183	210	19	+	+	ADP
ap-1183	210	20	2α	2α	NOUN
ap-1183	210	21	)	)	PUNCT
ap-1183	211	1	〈	〈	PROPN
ap-1183	211	2	ψ̄kψ̄kψi	ψ̄kψ̄kψi	NOUN
ap-1183	211	3	〉	〉	PROPN
ap-1183	211	4	x	x	NOUN
ap-1183	211	5	,	,	PUNCT
ap-1183	211	6	si	si	NOUN
ap-1183	211	7	=	=	SYM
ap-1183	211	8	−2xψi	−2xψi	X
ap-1183	212	1	+	+	X
ap-1183	212	2	tqi	tqi	NOUN
ap-1183	212	3	,	,	PUNCT
ap-1183	212	4	s̄i	s̄i	PROPN
ap-1183	212	5	=	=	SYM
ap-1183	212	6	−2xψ̄i	−2xψ̄i	PROPN
ap-1183	213	1	+	+	CCONJ
ap-1183	213	2	t	t	PROPN
ap-1183	213	3	q̄i	q̄i	NOUN
ap-1183	213	4	.	.	PUNCT
ap-1183	214	1	(	(	PUNCT
ap-1183	214	2	5.6	5.6	NUM
ap-1183	214	3	)	)	PUNCT
ap-1183	214	4	h	h	NOUN
ap-1183	214	5	=	=	NOUN
ap-1183	214	6	1	1	NUM
ap-1183	214	7	4	4	NUM
ap-1183	214	8	p	p	NOUN
ap-1183	214	9	2	2	NUM
ap-1183	214	10	+	+	CCONJ
ap-1183	214	11	α2	α2	ADJ
ap-1183	215	1	(	(	PUNCT
ap-1183	215	2	z̄kzk)2	z̄kzk)2	PROPN
ap-1183	215	3	+	+	CCONJ
ap-1183	215	4	2z̄kzk	2z̄kzk	NUM
ap-1183	215	5	4x2	4x2	NUM
ap-1183	215	6	−	−	NOUN
ap-1183	215	7	(	(	PUNCT
ap-1183	215	8	5.7	5.7	NUM
ap-1183	215	9	)	)	PUNCT
ap-1183	215	10	2α	2α	NOUN
ap-1183	215	11	z(iz̄k)ψ(iψ̄k	z(iz̄k)ψ(iψ̄k	NUM
ap-1183	215	12	)	)	PUNCT
ap-1183	215	13	x2	x2	NOUN
ap-1183	215	14	−	−	PROPN
ap-1183	216	1	(	(	PUNCT
ap-1183	216	2	1	1	NUM
ap-1183	216	3	+	+	NUM
ap-1183	216	4	2α	2α	NOUN
ap-1183	216	5	)	)	PUNCT
ap-1183	217	1	〈	〈	NOUN
ap-1183	217	2	ψiψi	ψiψi	NOUN
ap-1183	217	3	ψ̄kψ̄k	ψ̄kψ̄k	ADP
ap-1183	217	4	〉	〉	NOUN
ap-1183	217	5	2x2	2x2	NUM
ap-1183	217	6	+	+	CCONJ
ap-1183	217	7	(	(	PUNCT
ap-1183	217	8	1	1	NUM
ap-1183	217	9	+	+	NUM
ap-1183	217	10	2α)2	2α)2	NUM
ap-1183	217	11	16x2	16x2	NUM
ap-1183	217	12	,	,	PUNCT
ap-1183	217	13	k	k	PROPN
ap-1183	218	1	=	=	SYM
ap-1183	218	2	x2	x2	PROPN
ap-1183	219	1	−	−	PROPN
ap-1183	219	2	t	t	NOUN
ap-1183	219	3	1	1	NUM
ap-1183	219	4	2	2	NUM
ap-1183	219	5	{	{	PUNCT
ap-1183	219	6	x	x	NOUN
ap-1183	219	7	,	,	PUNCT
ap-1183	219	8	p}+	p}+	NOUN
ap-1183	219	9	t2h	t2h	NOUN
ap-1183	219	10	,	,	PUNCT
ap-1183	219	11	d	d	X
ap-1183	219	12	=	=	SYM
ap-1183	219	13	−1	−1	NOUN
ap-1183	219	14	4	4	NUM
ap-1183	219	15	{	{	PUNCT
ap-1183	219	16	x	x	NOUN
ap-1183	219	17	,	,	PUNCT
ap-1183	219	18	p}+	p}+	NOUN
ap-1183	219	19	th	th	X
ap-1183	219	20	,	,	PUNCT
ap-1183	219	21	(	(	PUNCT
ap-1183	219	22	5.8	5.8	NUM
ap-1183	219	23	)	)	PUNCT
ap-1183	219	24	jik	jik	PROPN
ap-1183	219	25	=	=	SYM
ap-1183	219	26	i	i	PROPN
ap-1183	219	27	[	[	PUNCT
ap-1183	219	28	z(iz̄k	z(iz̄k	NOUN
ap-1183	219	29	)	)	PUNCT
ap-1183	219	30	+	+	CCONJ
ap-1183	219	31	2ψ(iψ̄k	2ψ(iψ̄k	NUM
ap-1183	219	32	)	)	PUNCT
ap-1183	219	33	]	]	PUNCT
ap-1183	219	34	,	,	PUNCT
ap-1183	219	35	i1	i1	PROPN
ap-1183	219	36	′1′	′1′	VERB
ap-1183	219	37	=	=	SYM
ap-1183	220	1	−iψkψk	−iψkψk	PROPN
ap-1183	220	2	,	,	PUNCT
ap-1183	220	3	i2	i2	PROPN
ap-1183	220	4	′2′	′2′	PROPN
ap-1183	221	1	=	=	PUNCT
ap-1183	221	2	iψ̄kψ̄k	iψ̄kψ̄k	X
ap-1183	221	3	,	,	PUNCT
ap-1183	221	4	i1	i1	PROPN
ap-1183	221	5	′2′	′2′	PROPN
ap-1183	222	1	=	=	PUNCT
ap-1183	223	1	−	−	PROPN
ap-1183	223	2	i	i	PRON
ap-1183	223	3	2	2	NUM
ap-1183	224	1	[	[	X
ap-1183	224	2	ψk	ψk	NOUN
ap-1183	224	3	,	,	PUNCT
ap-1183	224	4	ψ̄k	ψ̄k	PRON
ap-1183	224	5	]	]	PUNCT
ap-1183	224	6	.	.	PUNCT
ap-1183	225	1	(	(	PUNCT
ap-1183	225	2	5.9	5.9	NUM
ap-1183	225	3	)	)	PUNCT
ap-1183	225	4	the	the	DET
ap-1183	225	5	symbol	symbol	NOUN
ap-1183	225	6	〈	〈	PROPN
ap-1183	225	7	.	.	PUNCT
ap-1183	225	8	.	.	PUNCT
ap-1183	225	9	.	.	PUNCT
ap-1183	226	1	〉	〉	PROPN
ap-1183	226	2	denotes	denote	VERB
ap-1183	226	3	weyl	weyl	VERB
ap-1183	226	4	ordering	ordering	NOUN
ap-1183	226	5	.	.	PUNCT
ap-1183	227	1	it	it	PRON
ap-1183	227	2	can	can	AUX
ap-1183	227	3	be	be	AUX
ap-1183	227	4	directly	directly	ADV
ap-1183	227	5	checked	check	VERB
ap-1183	227	6	that	that	SCONJ
ap-1183	227	7	the	the	DET
ap-1183	227	8	generators	generator	NOUN
ap-1183	227	9	(	(	PUNCT
ap-1183	227	10	5.4)–(5.9	5.4)–(5.9	NUM
ap-1183	227	11	)	)	PUNCT
ap-1183	227	12	form	form	NOUN
ap-1183	227	13	the	the	DET
ap-1183	227	14	d(2	d(2	PROPN
ap-1183	227	15	,	,	PUNCT
ap-1183	227	16	1;α	1;α	NUM
ap-1183	227	17	)	)	PUNCT
ap-1183	227	18	superalgebra	superalgebra	NOUN
ap-1183	227	19	{	{	PUNCT
ap-1183	227	20	qai′i	qai′i	NOUN
ap-1183	227	21	,	,	PUNCT
ap-1183	227	22	qbk′k	qbk′k	NUM
ap-1183	227	23	}	}	PUNCT
ap-1183	228	1	=	=	NOUN
ap-1183	228	2	−2	−2	NOUN
ap-1183	228	3	(	(	PUNCT
ap-1183	228	4	εikεi′k′	εikεi′k′	ADV
ap-1183	228	5	tab	tab	NOUN
ap-1183	228	6	+	+	CCONJ
ap-1183	228	7	(	(	PUNCT
ap-1183	228	8	5.10	5.10	NUM
ap-1183	228	9	)	)	PUNCT
ap-1183	228	10	αεabεi′k′	αεabεi′k′	NOUN
ap-1183	228	11	jik	jik	PROPN
ap-1183	228	12	−	−	PROPN
ap-1183	229	1	(	(	PUNCT
ap-1183	229	2	1	1	NUM
ap-1183	229	3	+	+	CCONJ
ap-1183	229	4	α)εabεikii	α)εabεikii	PROPN
ap-1183	229	5	′k′	′k′	PROPN
ap-1183	229	6	)	)	PUNCT
ap-1183	229	7	,	,	PUNCT
ap-1183	230	1	[	[	X
ap-1183	230	2	tab	tab	NOUN
ap-1183	230	3	,	,	PUNCT
ap-1183	230	4	tcd	tcd	NOUN
ap-1183	230	5	]	]	X
ap-1183	230	6	=	=	SYM
ap-1183	230	7	−i	−i	PROPN
ap-1183	230	8	(	(	PUNCT
ap-1183	230	9	εactbd	εactbd	NOUN
ap-1183	230	10	+	+	CCONJ
ap-1183	230	11	εbdtac	εbdtac	ADJ
ap-1183	230	12	)	)	PUNCT
ap-1183	230	13	,	,	PUNCT
ap-1183	230	14	(	(	PUNCT
ap-1183	230	15	5.11	5.11	NUM
ap-1183	230	16	)	)	PUNCT
ap-1183	231	1	[	[	X
ap-1183	231	2	jij	jij	PROPN
ap-1183	231	3	,	,	PUNCT
ap-1183	231	4	jkl	jkl	PROPN
ap-1183	231	5	]	]	PUNCT
ap-1183	231	6	=	=	PUNCT
ap-1183	231	7	−i	−i	ADJ
ap-1183	231	8	(	(	PUNCT
ap-1183	231	9	εikjjl	εikjjl	VERB
ap-1183	231	10	+	+	CCONJ
ap-1183	231	11	εjljik	εjljik	NOUN
ap-1183	231	12	)	)	PUNCT
ap-1183	231	13	,	,	PUNCT
ap-1183	231	14	(	(	PUNCT
ap-1183	231	15	5.12	5.12	NUM
ap-1183	231	16	)	)	PUNCT
ap-1183	232	1	[	[	X
ap-1183	232	2	ii	ii	X
ap-1183	232	3	′j′	′j′	PROPN
ap-1183	232	4	,	,	PUNCT
ap-1183	232	5	ik	ik	X
ap-1183	232	6	′l′	′l′	PROPN
ap-1183	232	7	]	]	PUNCT
ap-1183	233	1	=	=	PUNCT
ap-1183	233	2	−i	−i	PROPN
ap-1183	233	3	(	(	PUNCT
ap-1183	233	4	εikij	εikij	PROPN
ap-1183	233	5	′l′	′l′	PART
ap-1183	234	1	+	+	NUM
ap-1183	234	2	εj′l′ii	εj′l′ii	ADJ
ap-1183	234	3	′k′	′k′	NOUN
ap-1183	234	4	)	)	PUNCT
ap-1183	234	5	,	,	PUNCT
ap-1183	235	1	[	[	X
ap-1183	235	2	tab	tab	NOUN
ap-1183	235	3	,	,	PUNCT
ap-1183	235	4	qci′i	qci′i	NOUN
ap-1183	235	5	]	]	X
ap-1183	235	6	=	=	PUNCT
ap-1183	235	7	iεc(aqb)i′i	iεc(aqb)i′i	PROPN
ap-1183	235	8	,	,	PUNCT
ap-1183	235	9	(	(	PUNCT
ap-1183	235	10	5.13	5.13	NUM
ap-1183	235	11	)	)	PUNCT
ap-1183	236	1	[	[	X
ap-1183	236	2	jij	jij	NOUN
ap-1183	236	3	,	,	PUNCT
ap-1183	236	4	qai′k	qai′k	NOUN
ap-1183	236	5	]	]	X
ap-1183	236	6	=	=	SYM
ap-1183	236	7	iεk(iqai′j	iεk(iqai′j	PROPN
ap-1183	236	8	)	)	PUNCT
ap-1183	236	9	,	,	PUNCT
ap-1183	237	1	[	[	X
ap-1183	237	2	ji′j′	ji′j′	PROPN
ap-1183	237	3	,	,	PUNCT
ap-1183	237	4	qak′i	qak′i	PRON
ap-1183	237	5	]	]	X
ap-1183	237	6	=	=	SYM
ap-1183	237	7	iεk′(i′qaj′)i	iεk′(i′qaj′)i	ADP
ap-1183	237	8	due	due	ADP
ap-1183	237	9	to	to	ADP
ap-1183	237	10	the	the	DET
ap-1183	237	11	quantum	quantum	ADJ
ap-1183	237	12	brackets	bracket	NOUN
ap-1183	238	1	[	[	X
ap-1183	238	2	x	x	X
ap-1183	238	3	,	,	PUNCT
ap-1183	238	4	p	p	X
ap-1183	238	5	]	]	X
ap-1183	238	6	=	=	PUNCT
ap-1183	238	7	i	i	INTJ
ap-1183	238	8	,	,	PUNCT
ap-1183	239	1	[	[	X
ap-1183	239	2	zi	zi	NOUN
ap-1183	239	3	,	,	PUNCT
ap-1183	239	4	z̄j	z̄j	X
ap-1183	239	5	]	]	PUNCT
ap-1183	240	1	=	=	PUNCT
ap-1183	240	2	δi	δi	PROPN
ap-1183	240	3	j	j	PROPN
ap-1183	240	4	,	,	PUNCT
ap-1183	240	5	{	{	PUNCT
ap-1183	240	6	ψi	ψi	ADV
ap-1183	240	7	,	,	PUNCT
ap-1183	240	8	ψ̄j	ψ̄j	NOUN
ap-1183	240	9	}	}	PUNCT
ap-1183	240	10	=	=	SYM
ap-1183	240	11	−	−	NUM
ap-1183	240	12	1	1	NUM
ap-1183	240	13	2	2	NUM
ap-1183	240	14	δi	δi	PROPN
ap-1183	240	15	j	j	PROPN
ap-1183	240	16	.	.	PUNCT
ap-1183	241	1	(	(	PUNCT
ap-1183	241	2	5.14	5.14	NUM
ap-1183	241	3	)	)	PUNCT
ap-1183	241	4	in	in	ADP
ap-1183	241	5	(	(	PUNCT
ap-1183	241	6	5.11)–(5.14	5.11)–(5.14	X
ap-1183	241	7	)	)	PUNCT
ap-1183	241	8	we	we	PRON
ap-1183	241	9	use	use	VERB
ap-1183	241	10	the	the	DET
ap-1183	241	11	notation	notation	NOUN
ap-1183	241	12	q21	q21	NOUN
ap-1183	241	13	′i	′i	PROPN
ap-1183	241	14	=	=	SYM
ap-1183	241	15	−qi	−qi	PROPN
ap-1183	241	16	,	,	PUNCT
ap-1183	241	17	q22	q22	NOUN
ap-1183	241	18	′i	′i	NOUN
ap-1183	241	19	=	=	SYM
ap-1183	241	20	−q̄i	−q̄i	PROPN
ap-1183	241	21	,	,	PUNCT
ap-1183	241	22	q11	q11	NOUN
ap-1183	241	23	′i	′i	NOUN
ap-1183	241	24	=	=	SYM
ap-1183	241	25	si	si	X
ap-1183	241	26	,	,	PUNCT
ap-1183	241	27	q12	q12	NOUN
ap-1183	241	28	′i	′i	PROPN
ap-1183	241	29	=	=	PUNCT
ap-1183	241	30	s̄i	s̄i	ADV
ap-1183	241	31	,	,	PUNCT
ap-1183	241	32	t22	t22	PROPN
ap-1183	241	33	=	=	SYM
ap-1183	241	34	h	h	PROPN
ap-1183	241	35	,	,	PUNCT
ap-1183	241	36	t11	t11	NOUN
ap-1183	241	37	=	=	SYM
ap-1183	241	38	k	k	PROPN
ap-1183	241	39	,	,	PUNCT
ap-1183	241	40	t12	t12	PROPN
ap-1183	241	41	=	=	SYM
ap-1183	241	42	−d	−d	PROPN
ap-1183	241	43	.	.	PUNCT
ap-1183	242	1	to	to	PART
ap-1183	242	2	find	find	VERB
ap-1183	242	3	the	the	DET
ap-1183	242	4	quantum	quantum	NOUN
ap-1183	242	5	spectrum	spectrum	NOUN
ap-1183	242	6	,	,	PUNCT
ap-1183	242	7	we	we	PRON
ap-1183	242	8	make	make	VERB
ap-1183	242	9	use	use	NOUN
ap-1183	242	10	of	of	ADP
ap-1183	242	11	the	the	DET
ap-1183	242	12	realization	realization	NOUN
ap-1183	242	13	z̄i	z̄i	PROPN
ap-1183	242	14	=	=	SYM
ap-1183	242	15	v+i	v+i	PROPN
ap-1183	242	16	,	,	PUNCT
ap-1183	242	17	zi	zi	X
ap-1183	242	18	=	=	SYM
ap-1183	243	1	∂/∂v+i	∂/∂v+i	PROPN
ap-1183	243	2	(	(	PUNCT
ap-1183	243	3	5.15	5.15	NUM
ap-1183	243	4	)	)	PUNCT
ap-1183	243	5	for	for	ADP
ap-1183	243	6	the	the	DET
ap-1183	243	7	bosonic	bosonic	PROPN
ap-1183	243	8	operators	operator	NOUN
ap-1183	243	9	where	where	SCONJ
ap-1183	243	10	v+i	v+i	PROPN
ap-1183	243	11	is	be	AUX
ap-1183	243	12	a	a	DET
ap-1183	243	13	commuting	commute	VERB
ap-1183	243	14	complex	complex	ADJ
ap-1183	243	15	su(2	su(2	NOUN
ap-1183	243	16	)	)	PUNCT
ap-1183	243	17	spinor	spinor	NOUN
ap-1183	243	18	,	,	PUNCT
ap-1183	243	19	as	as	ADV
ap-1183	243	20	well	well	ADV
ap-1183	243	21	as	as	ADP
ap-1183	243	22	the	the	DET
ap-1183	243	23	following	following	ADJ
ap-1183	243	24	realization	realization	NOUN
ap-1183	243	25	of	of	ADP
ap-1183	243	26	the	the	DET
ap-1183	243	27	odd	odd	ADJ
ap-1183	243	28	operators	operator	NOUN
ap-1183	243	29	ψi	ψi	ADP
ap-1183	243	30	=	=	SYM
ap-1183	243	31	ψi	ψi	NOUN
ap-1183	243	32	,	,	PUNCT
ap-1183	243	33	ψ̄i	ψ̄i	PROPN
ap-1183	243	34	=	=	PUNCT
ap-1183	243	35	−	−	PROPN
ap-1183	243	36	1	1	NUM
ap-1183	243	37	2	2	NUM
ap-1183	243	38	∂/∂ψi	∂/∂ψi	NOUN
ap-1183	243	39	,	,	PUNCT
ap-1183	243	40	(	(	PUNCT
ap-1183	243	41	5.16	5.16	NUM
ap-1183	243	42	)	)	PUNCT
ap-1183	243	43	where	where	SCONJ
ap-1183	243	44	ψi	ψi	NOUN
ap-1183	243	45	are	be	AUX
ap-1183	243	46	complex	complex	ADJ
ap-1183	243	47	grassmann	grassmann	ADJ
ap-1183	243	48	variables	variable	NOUN
ap-1183	243	49	.	.	PUNCT
ap-1183	244	1	the	the	DET
ap-1183	244	2	full	full	ADJ
ap-1183	244	3	wave	wave	NOUN
ap-1183	244	4	function	function	NOUN
ap-1183	244	5	φ	φ	NOUN
ap-1183	244	6	=	=	SYM
ap-1183	244	7	a1	a1	PROPN
ap-1183	244	8	+	+	NOUN
ap-1183	244	9	ψibi	ψibi	NOUN
ap-1183	244	10	+	+	NOUN
ap-1183	244	11	ψiψia2	ψiψia2	NOUN
ap-1183	244	12	is	be	AUX
ap-1183	244	13	subjected	subject	VERB
ap-1183	244	14	to	to	ADP
ap-1183	244	15	the	the	DET
ap-1183	244	16	constraints	constraint	NOUN
ap-1183	244	17	z̄iz	z̄iz	VERB
ap-1183	244	18	iφ	iφ	NOUN
ap-1183	244	19	=	=	SYM
ap-1183	244	20	v+i	v+i	PROPN
ap-1183	244	21	∂	∂	PUNCT
ap-1183	245	1	∂v+i	∂v+i	PROPN
ap-1183	245	2	φ	φ	PROPN
ap-1183	245	3	=	=	PROPN
ap-1183	245	4	cφ	cφ	PROPN
ap-1183	245	5	.	.	PUNCT
ap-1183	246	1	(	(	PUNCT
ap-1183	246	2	5.17	5.17	NUM
ap-1183	246	3	)	)	PUNCT
ap-1183	246	4	27	27	NUM
ap-1183	246	5	acta	acta	PROPN
ap-1183	246	6	polytechnica	polytechnica	PROPN
ap-1183	246	7	vol	vol	NOUN
ap-1183	246	8	.	.	PROPN
ap-1183	247	1	50	50	NUM
ap-1183	247	2	no	no	NOUN
ap-1183	247	3	.	.	PUNCT
ap-1183	248	1	3/2010	3/2010	NUM
ap-1183	248	2	table	table	NOUN
ap-1183	248	3	1	1	NUM
ap-1183	248	4	r0	r0	NOUN
ap-1183	248	5	j	j	PROPN
ap-1183	248	6	i	i	PRON
ap-1183	248	7	a	a	PRON
ap-1183	248	8	(	(	PUNCT
ap-1183	248	9	c	c	NOUN
ap-1183	248	10	)	)	PUNCT
ap-1183	248	11	k′	k′	PROPN
ap-1183	248	12	(	(	PUNCT
ap-1183	248	13	x	x	NOUN
ap-1183	248	14	,	,	PUNCT
ap-1183	248	15	v+	v+	NOUN
ap-1183	248	16	)	)	PUNCT
ap-1183	248	17	|α|(c+	|α|(c+	NOUN
ap-1183	248	18	1	1	X
ap-1183	248	19	)	)	PUNCT
ap-1183	248	20	+	+	CCONJ
ap-1183	248	21	1	1	NUM
ap-1183	248	22	2	2	NUM
ap-1183	248	23	c	c	NOUN
ap-1183	248	24	2	2	NUM
ap-1183	248	25	1	1	NUM
ap-1183	248	26	2	2	NUM
ap-1183	248	27	b	b	NOUN
ap-1183	248	28	′(c	′(c	NOUN
ap-1183	248	29	)	)	PUNCT
ap-1183	248	30	k	k	NOUN
ap-1183	248	31	(	(	PUNCT
ap-1183	248	32	x	x	NOUN
ap-1183	248	33	,	,	PUNCT
ap-1183	248	34	v+	v+	NOUN
ap-1183	248	35	)	)	PUNCT
ap-1183	248	36	|α|(c+	|α|(c+	NOUN
ap-1183	248	37	1	1	X
ap-1183	248	38	)	)	PUNCT
ap-1183	248	39	+	+	CCONJ
ap-1183	248	40	1	1	NUM
ap-1183	248	41	2	2	NUM
ap-1183	248	42	−	−	NOUN
ap-1183	248	43	1	1	NUM
ap-1183	248	44	2	2	NUM
ap-1183	248	45	sign(α	sign(α	NOUN
ap-1183	248	46	)	)	PUNCT
ap-1183	248	47	c	c	NOUN
ap-1183	248	48	2	2	NUM
ap-1183	248	49	−	−	NOUN
ap-1183	248	50	1	1	NUM
ap-1183	248	51	2	2	NUM
ap-1183	248	52	0	0	NUM
ap-1183	248	53	b	b	NOUN
ap-1183	248	54	′′(c	′′(c	ADV
ap-1183	249	1	)	)	PUNCT
ap-1183	249	2	k	k	NOUN
ap-1183	249	3	(	(	PUNCT
ap-1183	249	4	x	x	NOUN
ap-1183	249	5	,	,	PUNCT
ap-1183	249	6	v+	v+	NOUN
ap-1183	249	7	)	)	PUNCT
ap-1183	249	8	|α|(c+	|α|(c+	NOUN
ap-1183	249	9	1	1	X
ap-1183	249	10	)	)	PUNCT
ap-1183	249	11	+	+	CCONJ
ap-1183	249	12	1	1	NUM
ap-1183	249	13	2	2	NUM
ap-1183	249	14	+	+	CCONJ
ap-1183	249	15	1	1	NUM
ap-1183	249	16	2	2	NUM
ap-1183	249	17	sign(α	sign(α	NOUN
ap-1183	249	18	)	)	PUNCT
ap-1183	249	19	c	c	NOUN
ap-1183	249	20	2	2	NUM
ap-1183	249	21	+	+	CCONJ
ap-1183	249	22	1	1	NUM
ap-1183	249	23	2	2	NUM
ap-1183	249	24	0	0	NUM
ap-1183	249	25	requiring	require	VERB
ap-1183	249	26	the	the	DET
ap-1183	249	27	wave	wave	NOUN
ap-1183	249	28	function	function	NOUN
ap-1183	249	29	φ(v+	φ(v+	NOUN
ap-1183	249	30	)	)	PUNCT
ap-1183	249	31	to	to	PART
ap-1183	249	32	be	be	AUX
ap-1183	249	33	single	single	ADV
ap-1183	249	34	-	-	PUNCT
ap-1183	249	35	valued	value	VERB
ap-1183	249	36	gives	give	VERB
ap-1183	249	37	rise	rise	NOUN
ap-1183	249	38	to	to	ADP
ap-1183	249	39	the	the	DET
ap-1183	249	40	condition	condition	NOUN
ap-1183	249	41	that	that	SCONJ
ap-1183	249	42	positive	positive	ADJ
ap-1183	249	43	constant	constant	ADJ
ap-1183	249	44	c	c	NOUN
ap-1183	249	45	is	be	AUX
ap-1183	249	46	integer	integer	NOUN
ap-1183	249	47	,	,	PUNCT
ap-1183	249	48	c	c	PROPN
ap-1183	249	49	∈	∈	PROPN
ap-1183	249	50	z.	z.	PROPN
ap-1183	250	1	then	then	ADV
ap-1183	250	2	(	(	PUNCT
ap-1183	250	3	5.17	5.17	NUM
ap-1183	250	4	)	)	PUNCT
ap-1183	250	5	implies	imply	VERB
ap-1183	250	6	that	that	SCONJ
ap-1183	250	7	the	the	DET
ap-1183	250	8	wave	wave	NOUN
ap-1183	250	9	function	function	VERB
ap-1183	250	10	φ(v+	φ(v+	NOUN
ap-1183	250	11	)	)	PUNCT
ap-1183	250	12	is	be	AUX
ap-1183	250	13	a	a	DET
ap-1183	250	14	homogeneous	homogeneous	ADJ
ap-1183	250	15	polynomial	polynomial	NOUN
ap-1183	250	16	in	in	ADP
ap-1183	250	17	v+i	v+i	PROPN
ap-1183	250	18	of	of	ADP
ap-1183	250	19	the	the	DET
ap-1183	250	20	degree	degree	NOUN
ap-1183	250	21	c	c	NOUN
ap-1183	250	22	:	:	PUNCT
ap-1183	250	23	φ	φ	PROPN
ap-1183	250	24	=	=	SYM
ap-1183	250	25	a	a	DET
ap-1183	250	26	(	(	PUNCT
ap-1183	250	27	c	c	NOUN
ap-1183	250	28	)	)	PUNCT
ap-1183	250	29	1	1	NUM
ap-1183	250	30	+	+	NUM
ap-1183	250	31	ψib	ψib	NOUN
ap-1183	250	32	(	(	PUNCT
ap-1183	250	33	c	c	X
ap-1183	250	34	)	)	PUNCT
ap-1183	250	35	i	i	PROPN
ap-1183	250	36	+	+	NUM
ap-1183	250	37	ψiψia	ψiψia	X
ap-1183	250	38	(	(	PUNCT
ap-1183	250	39	c	c	NOUN
ap-1183	250	40	)	)	PUNCT
ap-1183	250	41	2	2	NUM
ap-1183	250	42	,	,	PUNCT
ap-1183	250	43	(	(	PUNCT
ap-1183	250	44	5.18	5.18	NUM
ap-1183	250	45	)	)	PUNCT
ap-1183	250	46	a	a	DET
ap-1183	250	47	(	(	PUNCT
ap-1183	250	48	c	c	NOUN
ap-1183	250	49	)	)	PUNCT
ap-1183	250	50	i′	i′	NOUN
ap-1183	250	51	=	=	PUNCT
ap-1183	250	52	ai′,k1	ai′,k1	PROPN
ap-1183	250	53	...	...	PUNCT
ap-1183	250	54	kcv	kcv	VERB
ap-1183	250	55	+	+	NOUN
ap-1183	250	56	k1	k1	NOUN
ap-1183	250	57	.	.	PUNCT
ap-1183	250	58	.	.	PUNCT
ap-1183	250	59	.	.	PUNCT
ap-1183	251	1	v+kc	v+kc	INTJ
ap-1183	251	2	,	,	PUNCT
ap-1183	251	3	(	(	PUNCT
ap-1183	251	4	5.19	5.19	NUM
ap-1183	251	5	)	)	PUNCT
ap-1183	251	6	b	b	NOUN
ap-1183	251	7	(	(	PUNCT
ap-1183	251	8	c	c	NOUN
ap-1183	252	1	)	)	PUNCT
ap-1183	252	2	i	i	NOUN
ap-1183	253	1	=	=	NOUN
ap-1183	253	2	b	b	X
ap-1183	253	3	′(c	′(c	NOUN
ap-1183	253	4	)	)	PUNCT
ap-1183	254	1	i	i	PRON
ap-1183	255	1	+	+	NOUN
ap-1183	255	2	b	b	NOUN
ap-1183	255	3	′′(c	′′(c	ADV
ap-1183	256	1	)	)	PUNCT
ap-1183	256	2	i	i	PRON
ap-1183	256	3	=	=	PUNCT
ap-1183	256	4	(	(	PUNCT
ap-1183	256	5	5.20	5.20	NUM
ap-1183	256	6	)	)	PUNCT
ap-1183	256	7	v+i	v+i	PROPN
ap-1183	256	8	b′	b′	NUM
ap-1183	256	9	k1	k1	NOUN
ap-1183	256	10	...	...	PUNCT
ap-1183	256	11	kc−1v	kc−1v	PROPN
ap-1183	257	1	+	+	NOUN
ap-1183	257	2	k1	k1	NOUN
ap-1183	257	3	.	.	PUNCT
ap-1183	257	4	.	.	PUNCT
ap-1183	258	1	.	.	PUNCT
ap-1183	259	1	v+kc−1	v+kc−1	NOUN
ap-1183	259	2	+	+	CCONJ
ap-1183	259	3	b′′	b′′	PROPN
ap-1183	259	4	(	(	PUNCT
ap-1183	259	5	ik1	ik1	ADV
ap-1183	259	6	...	...	PUNCT
ap-1183	259	7	kc)v	kc)v	PROPN
ap-1183	259	8	+	+	PROPN
ap-1183	259	9	k1	k1	NOUN
ap-1183	259	10	.	.	PUNCT
ap-1183	259	11	.	.	PUNCT
ap-1183	259	12	.	.	PUNCT
ap-1183	260	1	v+kc	v+kc	INTJ
ap-1183	260	2	.	.	PUNCT
ap-1183	261	1	on	on	ADP
ap-1183	261	2	the	the	DET
ap-1183	261	3	physical	physical	ADJ
ap-1183	261	4	states	state	NOUN
ap-1183	261	5	(	(	PUNCT
ap-1183	261	6	5.17	5.17	NUM
ap-1183	261	7	)	)	PUNCT
ap-1183	261	8	,	,	PUNCT
ap-1183	261	9	(	(	PUNCT
ap-1183	261	10	5.18	5.18	NUM
ap-1183	261	11	)	)	PUNCT
ap-1183	261	12	the	the	DET
ap-1183	261	13	casimir	casimir	NOUN
ap-1183	261	14	operator	operator	NOUN
ap-1183	261	15	takes	take	VERB
ap-1183	261	16	the	the	DET
ap-1183	261	17	value	value	NOUN
ap-1183	261	18	c2	c2	PROPN
ap-1183	261	19	=	=	SYM
ap-1183	261	20	t2	t2	PROPN
ap-1183	261	21	+	+	CCONJ
ap-1183	261	22	αj2	αj2	CCONJ
ap-1183	261	23	−	−	PROPN
ap-1183	261	24	(	(	PUNCT
ap-1183	261	25	1	1	NUM
ap-1183	261	26	+	+	CCONJ
ap-1183	261	27	α	α	X
ap-1183	261	28	)	)	PUNCT
ap-1183	261	29	i2	i2	PROPN
ap-1183	261	30	+	+	CCONJ
ap-1183	261	31	i	i	PROPN
ap-1183	261	32	4	4	NUM
ap-1183	261	33	qai′iqai′i	qai′iqai′i	NOUN
ap-1183	261	34	=	=	SYM
ap-1183	261	35	α(1	α(1	PROPN
ap-1183	262	1	+	+	PUNCT
ap-1183	262	2	α)(c+	α)(c+	ADJ
ap-1183	262	3	1)2/4	1)2/4	NUM
ap-1183	262	4	.	.	PUNCT
ap-1183	263	1	(	(	PUNCT
ap-1183	263	2	5.21	5.21	NUM
ap-1183	263	3	)	)	PUNCT
ap-1183	263	4	on	on	ADP
ap-1183	263	5	the	the	DET
ap-1183	263	6	same	same	ADJ
ap-1183	263	7	states	state	NOUN
ap-1183	263	8	,	,	PUNCT
ap-1183	263	9	the	the	DET
ap-1183	263	10	casimir	casimir	NOUN
ap-1183	263	11	operators	operator	NOUN
ap-1183	263	12	of	of	ADP
ap-1183	263	13	the	the	DET
ap-1183	263	14	bosonic	bosonic	PROPN
ap-1183	263	15	subgroups	subgroup	NOUN
ap-1183	263	16	su(1	su(1	NOUN
ap-1183	263	17	,	,	PUNCT
ap-1183	263	18	1	1	NUM
ap-1183	263	19	)	)	PUNCT
ap-1183	263	20	,	,	PUNCT
ap-1183	263	21	su(2)r	su(2)r	PROPN
ap-1183	263	22	and	and	CCONJ
ap-1183	263	23	su(2)l	su(2)l	PROPN
ap-1183	263	24	,	,	PUNCT
ap-1183	263	25	t2	t2	NOUN
ap-1183	263	26	=	=	PUNCT
ap-1183	263	27	r0(r0	r0(r0	ADJ
ap-1183	263	28	−	−	NOUN
ap-1183	263	29	1	1	NUM
ap-1183	263	30	)	)	PUNCT
ap-1183	263	31	,	,	PUNCT
ap-1183	263	32	j2	j2	PROPN
ap-1183	263	33	=	=	PUNCT
ap-1183	263	34	j(j+1	j(j+1	PROPN
ap-1183	263	35	)	)	PUNCT
ap-1183	263	36	,	,	PUNCT
ap-1183	263	37	i2	i2	PROPN
ap-1183	263	38	=	=	SYM
ap-1183	263	39	i(i+1	i(i+1	PROPN
ap-1183	263	40	)	)	PUNCT
ap-1183	263	41	,	,	PUNCT
ap-1183	263	42	take	take	VERB
ap-1183	263	43	the	the	DET
ap-1183	263	44	values	value	NOUN
ap-1183	263	45	listed	list	VERB
ap-1183	263	46	in	in	ADP
ap-1183	263	47	the	the	DET
ap-1183	263	48	table	table	NOUN
ap-1183	263	49	1	1	NUM
ap-1183	263	50	.	.	PUNCT
ap-1183	264	1	the	the	DET
ap-1183	264	2	fields	field	NOUN
ap-1183	264	3	b′	b′	NUM
ap-1183	265	1	i	i	PRON
ap-1183	265	2	and	and	CCONJ
ap-1183	265	3	b′′	b′′	VERB
ap-1183	265	4	i	i	PRON
ap-1183	265	5	form	form	VERB
ap-1183	265	6	doublets	doublet	NOUN
ap-1183	265	7	of	of	ADP
ap-1183	265	8	su(2)r	su(2)r	PROPN
ap-1183	265	9	generated	generate	VERB
ap-1183	265	10	by	by	ADP
ap-1183	265	11	jik	jik	PROPN
ap-1183	265	12	,	,	PUNCT
ap-1183	265	13	whereas	whereas	SCONJ
ap-1183	265	14	the	the	DET
ap-1183	265	15	component	component	NOUN
ap-1183	265	16	fields	field	VERB
ap-1183	265	17	ai′	ai′	NOUN
ap-1183	266	1	=	=	SYM
ap-1183	266	2	(	(	PUNCT
ap-1183	266	3	a1	a1	PROPN
ap-1183	266	4	,	,	PUNCT
ap-1183	266	5	a2	a2	PROPN
ap-1183	266	6	)	)	PUNCT
ap-1183	266	7	form	form	VERB
ap-1183	266	8	a	a	DET
ap-1183	266	9	doublet	doublet	NOUN
ap-1183	266	10	of	of	ADP
ap-1183	266	11	su(2)l	su(2)l	PROPN
ap-1183	266	12	generated	generate	VERB
ap-1183	266	13	by	by	ADP
ap-1183	266	14	i	i	PRON
ap-1183	266	15	i′k′	i′k′	PROPN
ap-1183	266	16	.	.	PUNCT
ap-1183	267	1	each	each	PRON
ap-1183	267	2	of	of	ADP
ap-1183	267	3	ai′	ai′	PROPN
ap-1183	267	4	,	,	PUNCT
ap-1183	267	5	b′	b′	NUM
ap-1183	267	6	i	i	PRON
ap-1183	267	7	,	,	PUNCT
ap-1183	267	8	b′′	b′′	PROPN
ap-1183	267	9	i	i	PRON
ap-1183	267	10	carries	carry	VERB
ap-1183	267	11	a	a	DET
ap-1183	267	12	representation	representation	NOUN
ap-1183	267	13	of	of	ADP
ap-1183	267	14	the	the	DET
ap-1183	267	15	su(1,1	su(1,1	NOUN
ap-1183	267	16	)	)	PUNCT
ap-1183	267	17	group	group	NOUN
ap-1183	267	18	.	.	PUNCT
ap-1183	268	1	basis	basis	NOUN
ap-1183	268	2	functions	function	NOUN
ap-1183	268	3	of	of	ADP
ap-1183	268	4	these	these	DET
ap-1183	268	5	representations	representation	NOUN
ap-1183	268	6	are	be	AUX
ap-1183	268	7	eigenvectors	eigenvector	NOUN
ap-1183	268	8	of	of	ADP
ap-1183	268	9	the	the	DET
ap-1183	268	10	generator	generator	NOUN
ap-1183	268	11	r	r	NOUN
ap-1183	268	12	=	=	SYM
ap-1183	268	13	1	1	NUM
ap-1183	268	14	2	2	NUM
ap-1183	268	15	(	(	PUNCT
ap-1183	268	16	a−1k+	a−1k+	PROPN
ap-1183	268	17	ah	ah	INTJ
ap-1183	268	18	)	)	PUNCT
ap-1183	268	19	,	,	PUNCT
ap-1183	268	20	where	where	SCONJ
ap-1183	268	21	a	a	PRON
ap-1183	268	22	is	be	AUX
ap-1183	268	23	a	a	DET
ap-1183	268	24	constant	constant	NOUN
ap-1183	268	25	of	of	ADP
ap-1183	268	26	the	the	DET
ap-1183	268	27	length	length	NOUN
ap-1183	268	28	dimension	dimension	NOUN
ap-1183	268	29	.	.	PUNCT
ap-1183	269	1	these	these	DET
ap-1183	269	2	eigenvalues	eigenvalue	NOUN
ap-1183	269	3	are	be	AUX
ap-1183	269	4	r	r	NOUN
ap-1183	269	5	=	=	SYM
ap-1183	269	6	r0	r0	NOUN
ap-1183	269	7	+	+	CCONJ
ap-1183	269	8	n	n	CCONJ
ap-1183	269	9	,	,	PUNCT
ap-1183	269	10	n	n	PROPN
ap-1183	269	11	∈	∈	PROPN
ap-1183	269	12	n.	n.	NOUN
ap-1183	269	13	6	6	NUM
ap-1183	269	14	outlook	outlook	NOUN
ap-1183	269	15	in	in	ADP
ap-1183	269	16	[	[	X
ap-1183	269	17	19	19	NUM
ap-1183	269	18	,	,	PUNCT
ap-1183	269	19	20	20	NUM
ap-1183	269	20	,	,	PUNCT
ap-1183	269	21	21	21	NUM
ap-1183	269	22	]	]	PUNCT
ap-1183	269	23	,	,	PUNCT
ap-1183	269	24	we	we	PRON
ap-1183	269	25	proposed	propose	VERB
ap-1183	269	26	a	a	DET
ap-1183	269	27	new	new	ADJ
ap-1183	269	28	gauge	gauge	NOUN
ap-1183	269	29	approach	approach	NOUN
ap-1183	269	30	to	to	ADP
ap-1183	269	31	the	the	DET
ap-1183	269	32	construction	construction	NOUN
ap-1183	269	33	of	of	ADP
ap-1183	269	34	superconformal	superconformal	ADJ
ap-1183	269	35	calogero	calogero	NOUN
ap-1183	269	36	-	-	PUNCT
ap-1183	269	37	type	type	NOUN
ap-1183	269	38	systems	system	NOUN
ap-1183	269	39	.	.	PUNCT
ap-1183	270	1	the	the	DET
ap-1183	270	2	characteristic	characteristic	ADJ
ap-1183	270	3	features	feature	NOUN
ap-1183	270	4	of	of	ADP
ap-1183	270	5	this	this	DET
ap-1183	270	6	approach	approach	NOUN
ap-1183	270	7	are	be	AUX
ap-1183	270	8	the	the	DET
ap-1183	270	9	presence	presence	NOUN
ap-1183	270	10	of	of	ADP
ap-1183	270	11	auxiliary	auxiliary	ADJ
ap-1183	270	12	supermultiplets	supermultiplet	NOUN
ap-1183	270	13	with	with	ADP
ap-1183	270	14	wz	wz	PROPN
ap-1183	270	15	type	type	NOUN
ap-1183	270	16	actions	action	NOUN
ap-1183	270	17	,	,	PUNCT
ap-1183	270	18	the	the	DET
ap-1183	270	19	built	build	VERB
ap-1183	270	20	-	-	PUNCT
ap-1183	270	21	in	in	ADP
ap-1183	270	22	superconformal	superconformal	ADJ
ap-1183	270	23	invariance	invariance	NOUN
ap-1183	270	24	and	and	CCONJ
ap-1183	270	25	the	the	DET
ap-1183	270	26	emergence	emergence	NOUN
ap-1183	270	27	of	of	ADP
ap-1183	270	28	the	the	DET
ap-1183	270	29	calogero	calogero	PROPN
ap-1183	270	30	coupling	coupling	NOUN
ap-1183	270	31	constant	constant	ADJ
ap-1183	270	32	as	as	ADP
ap-1183	270	33	a	a	DET
ap-1183	270	34	strength	strength	NOUN
ap-1183	270	35	of	of	ADP
ap-1183	270	36	the	the	DET
ap-1183	270	37	fi	fi	NOUN
ap-1183	270	38	term	term	NOUN
ap-1183	270	39	of	of	ADP
ap-1183	270	40	the	the	DET
ap-1183	270	41	u(1	u(1	PROPN
ap-1183	270	42	)	)	PUNCT
ap-1183	270	43	gauge	gauge	NOUN
ap-1183	270	44	(	(	PUNCT
ap-1183	270	45	super)field	super)field	PROPN
ap-1183	270	46	.	.	PUNCT
ap-1183	271	1	we	we	PRON
ap-1183	271	2	see	see	VERB
ap-1183	271	3	continuation	continuation	NOUN
ap-1183	271	4	of	of	ADP
ap-1183	271	5	the	the	DET
ap-1183	271	6	researches	research	NOUN
ap-1183	271	7	presented	present	VERB
ap-1183	271	8	in	in	ADP
ap-1183	271	9	the	the	DET
ap-1183	271	10	solution	solution	NOUN
ap-1183	271	11	of	of	ADP
ap-1183	271	12	some	some	DET
ap-1183	271	13	problems	problem	NOUN
ap-1183	271	14	,	,	PUNCT
ap-1183	271	15	such	such	ADJ
ap-1183	271	16	as	as	ADP
ap-1183	271	17	•	•	NUM
ap-1183	271	18	an	an	DET
ap-1183	271	19	analysis	analysis	NOUN
ap-1183	271	20	of	of	ADP
ap-1183	271	21	possible	possible	ADJ
ap-1183	271	22	integrability	integrability	NOUN
ap-1183	271	23	properties	property	NOUN
ap-1183	271	24	of	of	ADP
ap-1183	271	25	new	new	ADJ
ap-1183	271	26	supercalogero	supercalogero	NOUN
ap-1183	271	27	models	model	NOUN
ap-1183	271	28	with	with	ADP
ap-1183	271	29	finding	finding	NOUN
ap-1183	271	30	-	-	PUNCT
ap-1183	271	31	out	out	ADP
ap-1183	271	32	a	a	DET
ap-1183	271	33	role	role	NOUN
ap-1183	271	34	of	of	ADP
ap-1183	271	35	the	the	DET
ap-1183	271	36	contribution	contribution	NOUN
ap-1183	271	37	of	of	ADP
ap-1183	271	38	the	the	DET
ap-1183	271	39	center	center	NOUN
ap-1183	271	40	of	of	ADP
ap-1183	271	41	mass	mass	NOUN
ap-1183	271	42	in	in	ADP
ap-1183	271	43	the	the	DET
ap-1183	271	44	case	case	NOUN
ap-1183	271	45	of	of	ADP
ap-1183	271	46	d(2	d(2	PROPN
ap-1183	271	47	,	,	PUNCT
ap-1183	271	48	1;α	1;α	NUM
ap-1183	271	49	)	)	PUNCT
ap-1183	271	50	,	,	PUNCT
ap-1183	271	51	α	α	X
ap-1183	271	52	�	�	NOUN
ap-1183	271	53	=0	=0	ADJ
ap-1183	271	54	,	,	PUNCT
ap-1183	271	55	invariant	invariant	ADJ
ap-1183	271	56	systems	system	NOUN
ap-1183	271	57	.	.	PUNCT
ap-1183	272	1	•	•	NUM
ap-1183	272	2	construction	construction	NOUN
ap-1183	272	3	of	of	ADP
ap-1183	272	4	quantum	quantum	ADJ
ap-1183	272	5	n	n	NOUN
ap-1183	272	6	=	=	SYM
ap-1183	272	7	4	4	NUM
ap-1183	272	8	superconformal	superconformal	ADJ
ap-1183	272	9	calogero	calogero	PROPN
ap-1183	272	10	systems	system	NOUN
ap-1183	272	11	by	by	ADP
ap-1183	272	12	canonical	canonical	ADJ
ap-1183	272	13	quantization	quantization	NOUN
ap-1183	272	14	of	of	ADP
ap-1183	272	15	systems	system	NOUN
ap-1183	272	16	(	(	PUNCT
ap-1183	272	17	4.3	4.3	NUM
ap-1183	272	18	)	)	PUNCT
ap-1183	272	19	and	and	CCONJ
ap-1183	272	20	(	(	PUNCT
ap-1183	272	21	4.10	4.10	NUM
ap-1183	272	22	)	)	PUNCT
ap-1183	272	23	.	.	PUNCT
ap-1183	273	1	•	•	NUM
ap-1183	273	2	obtaining	obtain	VERB
ap-1183	273	3	the	the	DET
ap-1183	273	4	systems	system	NOUN
ap-1183	273	5	,	,	PUNCT
ap-1183	273	6	constructed	construct	VERB
ap-1183	273	7	from	from	ADP
ap-1183	273	8	mirror	mirror	NOUN
ap-1183	273	9	supermultiplets	supermultiplet	NOUN
ap-1183	273	10	and	and	CCONJ
ap-1183	273	11	possessing	possess	VERB
ap-1183	273	12	d(2	d(2	PROPN
ap-1183	273	13	,	,	PUNCT
ap-1183	273	14	1;α	1;α	NUM
ap-1183	273	15	)	)	PUNCT
ap-1183	273	16	symmetry	symmetry	NOUN
ap-1183	273	17	,	,	PUNCT
ap-1183	273	18	after	after	ADP
ap-1183	273	19	use	use	VERB
ap-1183	273	20	gauging	gauge	VERB
ap-1183	273	21	procedures	procedure	NOUN
ap-1183	273	22	in	in	ADP
ap-1183	273	23	bi	bi	ADJ
ap-1183	273	24	-	-	ADJ
ap-1183	273	25	harmonic	harmonic	ADJ
ap-1183	273	26	superspace	superspace	NOUN
ap-1183	273	27	[	[	X
ap-1183	273	28	26	26	NUM
ap-1183	273	29	]	]	PUNCT
ap-1183	273	30	.	.	PUNCT
ap-1183	274	1	•	•	NUM
ap-1183	274	2	obtaining	obtain	VERB
ap-1183	274	3	other	other	ADJ
ap-1183	274	4	superextensions	superextension	NOUN
ap-1183	274	5	of	of	ADP
ap-1183	274	6	the	the	DET
ap-1183	274	7	calogero	calogero	PROPN
ap-1183	274	8	model	model	NOUN
ap-1183	274	9	distinct	distinct	ADJ
ap-1183	274	10	from	from	ADP
ap-1183	274	11	the	the	DET
ap-1183	274	12	an−1	an−1	ADJ
ap-1183	274	13	type	type	NOUN
ap-1183	274	14	(	(	PUNCT
ap-1183	274	15	related	relate	VERB
ap-1183	274	16	to	to	ADP
ap-1183	274	17	the	the	DET
ap-1183	274	18	root	root	NOUN
ap-1183	274	19	system	system	NOUN
ap-1183	274	20	of	of	ADP
ap-1183	274	21	the	the	DET
ap-1183	274	22	su(n	su(n	PROPN
ap-1183	274	23	)	)	PUNCT
ap-1183	274	24	group	group	NOUN
ap-1183	274	25	)	)	PUNCT
ap-1183	274	26	,	,	PUNCT
ap-1183	274	27	by	by	ADP
ap-1183	274	28	applying	apply	VERB
ap-1183	274	29	the	the	DET
ap-1183	274	30	gauging	gauge	VERB
ap-1183	274	31	procedure	procedure	NOUN
ap-1183	274	32	to	to	ADP
ap-1183	274	33	other	other	ADJ
ap-1183	274	34	gauge	gauge	NOUN
ap-1183	274	35	groups	group	NOUN
ap-1183	274	36	.	.	PUNCT
ap-1183	275	1	acknowledgement	acknowledgement	NOUN
ap-1183	275	2	i	i	PRON
ap-1183	275	3	thank	thank	VERB
ap-1183	275	4	the	the	DET
ap-1183	275	5	organizers	organizer	NOUN
ap-1183	275	6	of	of	ADP
ap-1183	275	7	jiri	jiri	PROPN
ap-1183	275	8	niederle	niederle	PROPN
ap-1183	275	9	’s	’s	PART
ap-1183	275	10	fest	f	ADJ
ap-1183	275	11	and	and	CCONJ
ap-1183	275	12	the	the	DET
ap-1183	275	13	xviii	xviii	PROPN
ap-1183	275	14	international	international	ADJ
ap-1183	275	15	colloquium	colloquium	NOUN
ap-1183	275	16	for	for	ADP
ap-1183	275	17	the	the	DET
ap-1183	275	18	kind	kind	ADJ
ap-1183	275	19	hospitality	hospitality	NOUN
ap-1183	275	20	in	in	ADP
ap-1183	275	21	prague	prague	PROPN
ap-1183	275	22	.	.	PUNCT
ap-1183	276	1	i	i	PRON
ap-1183	276	2	would	would	AUX
ap-1183	276	3	also	also	ADV
ap-1183	276	4	like	like	VERB
ap-1183	276	5	to	to	PART
ap-1183	276	6	thank	thank	VERB
ap-1183	276	7	my	my	PRON
ap-1183	276	8	co	co	NOUN
ap-1183	276	9	-	-	NOUN
ap-1183	276	10	authors	author	NOUN
ap-1183	276	11	e.	e.	PROPN
ap-1183	276	12	ivanov	ivanov	PROPN
ap-1183	276	13	and	and	CCONJ
ap-1183	276	14	o.	o.	NOUN
ap-1183	276	15	lechtenfeld	lechtenfeld	NOUN
ap-1183	276	16	for	for	ADP
ap-1183	276	17	fruitful	fruitful	ADJ
ap-1183	276	18	collaboration	collaboration	NOUN
ap-1183	276	19	.	.	PUNCT
ap-1183	277	1	i	i	PRON
ap-1183	277	2	acknowledge	acknowledge	VERB
ap-1183	277	3	a	a	DET
ap-1183	277	4	support	support	NOUN
ap-1183	277	5	from	from	ADP
ap-1183	277	6	the	the	DET
ap-1183	277	7	rfbr	rfbr	NOUN
ap-1183	277	8	grants	grant	VERB
ap-1183	277	9	08	08	NUM
ap-1183	277	10	-	-	SYM
ap-1183	277	11	0290490	0290490	NUM
ap-1183	277	12	,	,	PUNCT
ap-1183	277	13	09	09	NUM
ap-1183	277	14	-	-	PUNCT
ap-1183	277	15	02	02	NUM
ap-1183	277	16	-	-	PUNCT
ap-1183	277	17	01209	01209	NUM
ap-1183	277	18	and	and	CCONJ
ap-1183	277	19	09	09	NUM
ap-1183	277	20	-	-	PUNCT
ap-1183	277	21	01	01	NUM
ap-1183	277	22	-	-	PUNCT
ap-1183	277	23	93107	93107	NUM
ap-1183	277	24	and	and	CCONJ
ap-1183	277	25	grants	grant	NOUN
ap-1183	277	26	of	of	ADP
ap-1183	277	27	the	the	DET
ap-1183	277	28	heisenberg	heisenberg	PROPN
ap-1183	277	29	-	-	PUNCT
ap-1183	277	30	landau	landau	NOUN
ap-1183	277	31	and	and	CCONJ
ap-1183	277	32	the	the	DET
ap-1183	277	33	votruba	votruba	ADJ
ap-1183	277	34	-	-	PUNCT
ap-1183	277	35	blokhintsev	blokhintsev	NOUN
ap-1183	277	36	programs	program	NOUN
ap-1183	277	37	.	.	PUNCT
ap-1183	278	1	references	reference	NOUN
ap-1183	278	2	[	[	X
ap-1183	278	3	1	1	NUM
ap-1183	278	4	]	]	SYM
ap-1183	278	5	calogero	calogero	PROPN
ap-1183	278	6	,	,	PUNCT
ap-1183	278	7	f.	f.	PROPN
ap-1183	278	8	:	:	PUNCT
ap-1183	278	9	j.	j.	PROPN
ap-1183	278	10	math	math	PROPN
ap-1183	278	11	.	.	PUNCT
ap-1183	279	1	phys	phy	NOUN
ap-1183	279	2	.	.	PUNCT
ap-1183	280	1	10	10	NUM
ap-1183	280	2	(	(	PUNCT
ap-1183	280	3	1969	1969	NUM
ap-1183	280	4	)	)	PUNCT
ap-1183	280	5	2191	2191	NUM
ap-1183	280	6	;	;	PUNCT
ap-1183	280	7	10	10	NUM
ap-1183	280	8	(	(	PUNCT
ap-1183	280	9	1969	1969	NUM
ap-1183	280	10	)	)	PUNCT
ap-1183	280	11	2197	2197	NUM
ap-1183	280	12	.	.	PUNCT
ap-1183	281	1	[	[	X
ap-1183	281	2	2	2	NUM
ap-1183	281	3	]	]	PUNCT
ap-1183	281	4	olshanetsky	olshanetsky	NOUN
ap-1183	281	5	,	,	PUNCT
ap-1183	281	6	m.	m.	NOUN
ap-1183	281	7	a.	a.	PROPN
ap-1183	281	8	,	,	PUNCT
ap-1183	281	9	perelomov	perelomov	NOUN
ap-1183	281	10	,	,	PUNCT
ap-1183	281	11	a.	a.	NOUN
ap-1183	281	12	m.	m.	NOUN
ap-1183	281	13	:	:	PUNCT
ap-1183	281	14	phys	phy	NOUN
ap-1183	281	15	.	.	PUNCT
ap-1183	282	1	rept	rept	NOUN
ap-1183	282	2	.	.	PUNCT
ap-1183	283	1	71	71	NUM
ap-1183	283	2	,	,	PUNCT
ap-1183	283	3	313	313	NUM
ap-1183	283	4	(	(	PUNCT
ap-1183	283	5	1981	1981	NUM
ap-1183	283	6	)	)	PUNCT
ap-1183	283	7	;	;	PUNCT
ap-1183	283	8	94	94	NUM
ap-1183	283	9	,	,	PUNCT
ap-1183	283	10	313	313	NUM
ap-1183	283	11	(	(	PUNCT
ap-1183	283	12	1983	1983	NUM
ap-1183	283	13	)	)	PUNCT
ap-1183	283	14	.	.	PUNCT
ap-1183	284	1	[	[	X
ap-1183	284	2	3	3	NUM
ap-1183	284	3	]	]	X
ap-1183	284	4	polychronakos	polychronakos	ADJ
ap-1183	284	5	,	,	PUNCT
ap-1183	284	6	a.	a.	NOUN
ap-1183	284	7	p.	p.	NOUN
ap-1183	284	8	:	:	PUNCT
ap-1183	285	1	j.	j.	PROPN
ap-1183	285	2	phys	phys	PROPN
ap-1183	285	3	.	.	PUNCT
ap-1183	286	1	a	a	DET
ap-1183	286	2	:	:	PUNCT
ap-1183	286	3	math	math	NOUN
ap-1183	286	4	.	.	PUNCT
ap-1183	287	1	gen	gen	PROPN
ap-1183	287	2	.	.	PROPN
ap-1183	287	3	39	39	NUM
ap-1183	287	4	(	(	PUNCT
ap-1183	287	5	2006	2006	NUM
ap-1183	287	6	)	)	PUNCT
ap-1183	287	7	12	12	NUM
ap-1183	287	8	793	793	NUM
ap-1183	287	9	.	.	PUNCT
ap-1183	287	10	28	28	NUM
ap-1183	287	11	acta	acta	PROPN
ap-1183	287	12	polytechnica	polytechnica	PROPN
ap-1183	287	13	vol	vol	NOUN
ap-1183	287	14	.	.	PROPN
ap-1183	288	1	50	50	NUM
ap-1183	288	2	no	no	NOUN
ap-1183	288	3	.	.	PUNCT
ap-1183	289	1	3/2010	3/2010	NUM
ap-1183	289	2	[	[	X
ap-1183	289	3	4	4	NUM
ap-1183	289	4	]	]	X
ap-1183	289	5	de	de	X
ap-1183	289	6	alfaro	alfaro	PROPN
ap-1183	289	7	,	,	PUNCT
ap-1183	289	8	v.	v.	ADV
ap-1183	289	9	,	,	PUNCT
ap-1183	289	10	fubini	fubini	NOUN
ap-1183	289	11	,	,	PUNCT
ap-1183	289	12	s.	s.	PROPN
ap-1183	289	13	,	,	PUNCT
ap-1183	289	14	furlan	furlan	PROPN
ap-1183	289	15	,	,	PUNCT
ap-1183	289	16	g.	g.	PROPN
ap-1183	289	17	:	:	PUNCT
ap-1183	289	18	nuovo	nuovo	PROPN
ap-1183	289	19	cim	cim	PROPN
ap-1183	289	20	.	.	PUNCT
ap-1183	290	1	a34	a34	PROPN
ap-1183	290	2	(	(	PUNCT
ap-1183	290	3	1976	1976	NUM
ap-1183	290	4	)	)	PUNCT
ap-1183	290	5	569	569	NUM
ap-1183	290	6	.	.	PUNCT
ap-1183	291	1	[	[	X
ap-1183	291	2	5	5	NUM
ap-1183	291	3	]	]	PUNCT
ap-1183	291	4	claus	claus	NOUN
ap-1183	291	5	,	,	PUNCT
ap-1183	291	6	p.	p.	NOUN
ap-1183	291	7	,	,	PUNCT
ap-1183	291	8	derix	derix	NOUN
ap-1183	291	9	,	,	PUNCT
ap-1183	291	10	m.	m.	NOUN
ap-1183	291	11	,	,	PUNCT
ap-1183	291	12	kallosh	kallosh	PROPN
ap-1183	291	13	,	,	PUNCT
ap-1183	291	14	r.	r.	PROPN
ap-1183	291	15	,	,	PUNCT
ap-1183	291	16	kumar	kumar	PROPN
ap-1183	291	17	,	,	PUNCT
ap-1183	291	18	j.	j.	PROPN
ap-1183	291	19	,	,	PUNCT
ap-1183	291	20	townsend	townsend	PROPN
ap-1183	291	21	,	,	PUNCT
ap-1183	291	22	p.	p.	PROPN
ap-1183	291	23	k.	k.	PROPN
ap-1183	291	24	,	,	PUNCT
ap-1183	291	25	van	van	PROPN
ap-1183	291	26	proeyen	proeyen	NOUN
ap-1183	291	27	,	,	PUNCT
ap-1183	291	28	a.	a.	NOUN
ap-1183	291	29	:	:	PUNCT
ap-1183	291	30	phys	phy	NOUN
ap-1183	291	31	.	.	PUNCT
ap-1183	292	1	rev	rev	PROPN
ap-1183	292	2	.	.	PROPN
ap-1183	292	3	lett	lett	PROPN
ap-1183	292	4	.	.	PUNCT
ap-1183	293	1	81	81	NUM
ap-1183	293	2	(	(	PUNCT
ap-1183	293	3	1998	1998	NUM
ap-1183	293	4	)	)	PUNCT
ap-1183	293	5	4	4	NUM
ap-1183	293	6	553	553	NUM
ap-1183	293	7	.	.	PUNCT
ap-1183	294	1	[	[	X
ap-1183	294	2	6	6	NUM
ap-1183	294	3	]	]	X
ap-1183	294	4	gibbons	gibbon	NOUN
ap-1183	294	5	,	,	PUNCT
ap-1183	294	6	g.	g.	PROPN
ap-1183	294	7	w.	w.	PROPN
ap-1183	294	8	,	,	PUNCT
ap-1183	294	9	townsend	townsend	PROPN
ap-1183	294	10	,	,	PUNCT
ap-1183	294	11	p.	p.	PROPN
ap-1183	294	12	k.	k.	PROPN
ap-1183	294	13	:	:	PUNCT
ap-1183	294	14	phys	phy	NOUN
ap-1183	294	15	.	.	PUNCT
ap-1183	295	1	lett	lett	PROPN
ap-1183	295	2	.	.	PUNCT
ap-1183	296	1	b454	b454	PROPN
ap-1183	296	2	(	(	PUNCT
ap-1183	296	3	1999	1999	NUM
ap-1183	296	4	)	)	PUNCT
ap-1183	296	5	187	187	NUM
ap-1183	296	6	.	.	PUNCT
ap-1183	297	1	[	[	X
ap-1183	297	2	7	7	NUM
ap-1183	297	3	]	]	SYM
ap-1183	297	4	michelson	michelson	PROPN
ap-1183	297	5	,	,	PUNCT
ap-1183	297	6	j.	j.	PROPN
ap-1183	297	7	,	,	PUNCT
ap-1183	297	8	strominger	strominger	NOUN
ap-1183	297	9	,	,	PUNCT
ap-1183	297	10	a.	a.	NOUN
ap-1183	297	11	:	:	PUNCT
ap-1183	297	12	commun	commun	PROPN
ap-1183	297	13	.	.	PUNCT
ap-1183	297	14	math	math	NOUN
ap-1183	297	15	.	.	PUNCT
ap-1183	298	1	phys	phy	NOUN
ap-1183	298	2	.	.	PUNCT
ap-1183	299	1	213	213	NUM
ap-1183	299	2	(	(	PUNCT
ap-1183	299	3	2000	2000	NUM
ap-1183	299	4	)	)	PUNCT
ap-1183	299	5	1	1	NUM
ap-1183	299	6	;	;	PUNCT
ap-1183	299	7	jhep	jhep	ADJ
ap-1183	299	8	9909	9909	NUM
ap-1183	299	9	(	(	PUNCT
ap-1183	299	10	1999	1999	NUM
ap-1183	299	11	)	)	PUNCT
ap-1183	299	12	005	005	NUM
ap-1183	299	13	;	;	PUNCT
ap-1183	299	14	maloney	maloney	PROPN
ap-1183	299	15	,	,	PUNCT
ap-1183	299	16	a.	a.	PROPN
ap-1183	299	17	,	,	PUNCT
ap-1183	299	18	spradlin	spradlin	PROPN
ap-1183	299	19	,	,	PUNCT
ap-1183	299	20	m.	m.	NOUN
ap-1183	299	21	,	,	PUNCT
ap-1183	299	22	strominger	strominger	NOUN
ap-1183	299	23	,	,	PUNCT
ap-1183	299	24	a.	a.	NOUN
ap-1183	299	25	:	:	PUNCT
ap-1183	299	26	jhep	jhep	ADJ
ap-1183	299	27	0204	0204	NUM
ap-1183	299	28	(	(	PUNCT
ap-1183	299	29	2002	2002	NUM
ap-1183	299	30	)	)	PUNCT
ap-1183	299	31	003	003	NUM
ap-1183	299	32	.	.	PUNCT
ap-1183	300	1	[	[	X
ap-1183	300	2	8	8	NUM
ap-1183	300	3	]	]	X
ap-1183	300	4	freedman	freedman	PROPN
ap-1183	300	5	,	,	PUNCT
ap-1183	300	6	d.	d.	PROPN
ap-1183	300	7	z.	z.	PROPN
ap-1183	300	8	,	,	PUNCT
ap-1183	300	9	mende	mende	PROPN
ap-1183	300	10	,	,	PUNCT
ap-1183	300	11	p.	p.	PROPN
ap-1183	300	12	f.	f.	PROPN
ap-1183	300	13	:	:	PUNCT
ap-1183	301	1	nucl.phys	nucl.phy	NOUN
ap-1183	301	2	.	.	PUNCT
ap-1183	302	1	b344	b344	PROPN
ap-1183	302	2	,	,	PUNCT
ap-1183	302	3	317	317	NUM
ap-1183	302	4	(	(	PUNCT
ap-1183	302	5	1990	1990	NUM
ap-1183	302	6	)	)	PUNCT
ap-1183	302	7	.	.	PUNCT
ap-1183	303	1	[	[	X
ap-1183	303	2	9	9	NUM
ap-1183	303	3	]	]	PUNCT
ap-1183	303	4	brink	brink	NOUN
ap-1183	303	5	,	,	PUNCT
ap-1183	303	6	l.	l.	PROPN
ap-1183	303	7	,	,	PUNCT
ap-1183	303	8	hansson	hansson	PROPN
ap-1183	303	9	,	,	PUNCT
ap-1183	303	10	t.	t.	PROPN
ap-1183	303	11	h.	h.	PROPN
ap-1183	303	12	,	,	PUNCT
ap-1183	303	13	vasiliev	vasiliev	NOUN
ap-1183	303	14	,	,	PUNCT
ap-1183	303	15	m.	m.	NOUN
ap-1183	303	16	a.	a.	NOUN
ap-1183	303	17	:	:	PUNCT
ap-1183	303	18	phys	phy	NOUN
ap-1183	303	19	.	.	PUNCT
ap-1183	304	1	lett	lett	PROPN
ap-1183	304	2	.	.	PUNCT
ap-1183	305	1	b286	b286	NUM
ap-1183	305	2	(	(	PUNCT
ap-1183	305	3	1992	1992	NUM
ap-1183	305	4	)	)	PUNCT
ap-1183	305	5	109	109	NUM
ap-1183	305	6	;	;	PUNCT
ap-1183	305	7	brink	brink	PROPN
ap-1183	305	8	,	,	PUNCT
ap-1183	305	9	l.	l.	PROPN
ap-1183	305	10	,	,	PUNCT
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ap-1183	305	12	,	,	PUNCT
ap-1183	305	13	t.	t.	PROPN
ap-1183	305	14	h.	h.	PROPN
ap-1183	305	15	,	,	PUNCT
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ap-1183	305	17	,	,	PUNCT
ap-1183	305	18	s.	s.	PROPN
ap-1183	305	19	,	,	PUNCT
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ap-1183	305	21	,	,	PUNCT
ap-1183	305	22	m.	m.	NOUN
ap-1183	305	23	a.	a.	PROPN
ap-1183	305	24	:	:	PUNCT
ap-1183	305	25	nucl	nucl	PROPN
ap-1183	305	26	.	.	PUNCT
ap-1183	306	1	phys	phy	NOUN
ap-1183	306	2	.	.	PUNCT
ap-1183	307	1	b401	b401	PROPN
ap-1183	307	2	(	(	PUNCT
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ap-1183	307	4	)	)	PUNCT
ap-1183	307	5	591	591	NUM
ap-1183	307	6	.	.	PUNCT
ap-1183	308	1	[	[	X
ap-1183	308	2	10	10	NUM
ap-1183	308	3	]	]	X
ap-1183	308	4	wyllard	wyllard	NOUN
ap-1183	308	5	,	,	PUNCT
ap-1183	308	6	n.	n.	NOUN
ap-1183	308	7	:	:	PUNCT
ap-1183	308	8	j.	j.	PROPN
ap-1183	308	9	math	math	PROPN
ap-1183	308	10	.	.	PUNCT
ap-1183	308	11	,	,	PUNCT
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ap-1183	308	13	.	.	PUNCT
ap-1183	309	1	41	41	NUM
ap-1183	309	2	(	(	PUNCT
ap-1183	309	3	2000	2000	NUM
ap-1183	309	4	)	)	PUNCT
ap-1183	309	5	2826	2826	NUM
ap-1183	309	6	.	.	PUNCT
ap-1183	310	1	[	[	X
ap-1183	310	2	11	11	NUM
ap-1183	310	3	]	]	SYM
ap-1183	310	4	bellucci	bellucci	PROPN
ap-1183	310	5	,	,	PUNCT
ap-1183	310	6	s.	s.	PROPN
ap-1183	310	7	,	,	PUNCT
ap-1183	310	8	galajinsky	galajinsky	PROPN
ap-1183	310	9	,	,	PUNCT
ap-1183	310	10	a.	a.	NOUN
ap-1183	310	11	,	,	PUNCT
ap-1183	310	12	krivonos	krivonos	PROPN
ap-1183	310	13	,	,	PUNCT
ap-1183	310	14	s.	s.	PROPN
ap-1183	310	15	:	:	PUNCT
ap-1183	310	16	phys	phy	NOUN
ap-1183	310	17	.	.	PUNCT
ap-1183	310	18	rev	rev	PROPN
ap-1183	310	19	.	.	PROPN
ap-1183	310	20	d68	d68	PROPN
ap-1183	310	21	(	(	PUNCT
ap-1183	310	22	2003	2003	NUM
ap-1183	310	23	)	)	PUNCT
ap-1183	310	24	064010	064010	NUM
ap-1183	310	25	.	.	PUNCT
ap-1183	311	1	[	[	X
ap-1183	311	2	12	12	NUM
ap-1183	311	3	]	]	X
ap-1183	311	4	bellucci	bellucci	PROPN
ap-1183	311	5	,	,	PUNCT
ap-1183	311	6	s.	s.	PROPN
ap-1183	311	7	,	,	PUNCT
ap-1183	311	8	galajinsky	galajinsky	NOUN
ap-1183	311	9	,	,	PUNCT
ap-1183	311	10	a.	a.	NOUN
ap-1183	311	11	v.	v.	PROPN
ap-1183	311	12	,	,	PUNCT
ap-1183	311	13	latini	latini	PROPN
ap-1183	311	14	,	,	PUNCT
ap-1183	311	15	e.	e.	PROPN
ap-1183	311	16	:	:	PUNCT
ap-1183	311	17	phys	phy	NOUN
ap-1183	311	18	.	.	PUNCT
ap-1183	312	1	rev	rev	PROPN
ap-1183	312	2	.	.	PROPN
ap-1183	312	3	d71	d71	PROPN
ap-1183	312	4	(	(	PUNCT
ap-1183	312	5	2005	2005	NUM
ap-1183	312	6	)	)	PUNCT
ap-1183	312	7	044023	044023	NUM
ap-1183	312	8	.	.	PUNCT
ap-1183	313	1	[	[	X
ap-1183	313	2	13	13	NUM
ap-1183	313	3	]	]	SYM
ap-1183	313	4	galajinsky	galajinsky	NOUN
ap-1183	313	5	,	,	PUNCT
ap-1183	313	6	a.	a.	NOUN
ap-1183	313	7	,	,	PUNCT
ap-1183	313	8	lechtenfeld	lechtenfeld	NOUN
ap-1183	313	9	,	,	PUNCT
ap-1183	313	10	o.	o.	PROPN
ap-1183	313	11	,	,	PUNCT
ap-1183	313	12	polovnikov	polovnikov	PROPN
ap-1183	313	13	,	,	PUNCT
ap-1183	313	14	k.	k.	NOUN
ap-1183	313	15	:	:	PUNCT
ap-1183	313	16	phys	phy	NOUN
ap-1183	313	17	.	.	PUNCT
ap-1183	314	1	lett	lett	PROPN
ap-1183	314	2	.	.	PUNCT
ap-1183	315	1	b643	b643	PROPN
ap-1183	315	2	(	(	PUNCT
ap-1183	315	3	2006	2006	NUM
ap-1183	315	4	)	)	PUNCT
ap-1183	315	5	221	221	NUM
ap-1183	315	6	;	;	PUNCT
ap-1183	315	7	jhep	jhep	ADJ
ap-1183	315	8	0711	0711	NUM
ap-1183	315	9	(	(	PUNCT
ap-1183	315	10	2007	2007	NUM
ap-1183	315	11	)	)	PUNCT
ap-1183	315	12	008	008	NUM
ap-1183	315	13	;	;	PUNCT
ap-1183	315	14	jhep	jhep	ADJ
ap-1183	315	15	0903	0903	NUM
ap-1183	315	16	(	(	PUNCT
ap-1183	315	17	2009	2009	NUM
ap-1183	315	18	)	)	PUNCT
ap-1183	315	19	113	113	NUM
ap-1183	315	20	.	.	PUNCT
ap-1183	316	1	[	[	X
ap-1183	316	2	14	14	NUM
ap-1183	316	3	]	]	X
ap-1183	316	4	bellucci	bellucci	PROPN
ap-1183	316	5	,	,	PUNCT
ap-1183	316	6	s.	s.	PROPN
ap-1183	316	7	,	,	PUNCT
ap-1183	316	8	krivonos	krivonos	PROPN
ap-1183	316	9	,	,	PUNCT
ap-1183	316	10	s.	s.	PROPN
ap-1183	316	11	,	,	PUNCT
ap-1183	316	12	sutulin	sutulin	PROPN
ap-1183	316	13	,	,	PUNCT
ap-1183	316	14	a.	a.	NOUN
ap-1183	316	15	:	:	PUNCT
ap-1183	316	16	nucl	nucl	PROPN
ap-1183	316	17	.	.	PUNCT
ap-1183	317	1	phys	phy	NOUN
ap-1183	317	2	.	.	PUNCT
ap-1183	318	1	b805	b805	PROPN
ap-1183	318	2	(	(	PUNCT
ap-1183	318	3	2008	2008	NUM
ap-1183	318	4	)	)	PUNCT
ap-1183	318	5	24	24	NUM
ap-1183	318	6	.	.	PUNCT
ap-1183	319	1	[	[	X
ap-1183	319	2	15	15	NUM
ap-1183	319	3	]	]	X
ap-1183	319	4	krivonos	krivono	NOUN
ap-1183	319	5	,	,	PUNCT
ap-1183	319	6	s.	s.	PROPN
ap-1183	319	7	,	,	PUNCT
ap-1183	319	8	lechtenfeld	lechtenfeld	NOUN
ap-1183	319	9	,	,	PUNCT
ap-1183	319	10	o.	o.	PROPN
ap-1183	319	11	,	,	PUNCT
ap-1183	319	12	polovnikov	polovnikov	PROPN
ap-1183	319	13	,	,	PUNCT
ap-1183	319	14	k.	k.	PROPN
ap-1183	319	15	:	:	PUNCT
ap-1183	319	16	nucl	nucl	PROPN
ap-1183	319	17	.	.	PUNCT
ap-1183	320	1	phys	phy	NOUN
ap-1183	320	2	.	.	PUNCT
ap-1183	321	1	b817	b817	NUM
ap-1183	321	2	(	(	PUNCT
ap-1183	321	3	2009	2009	NUM
ap-1183	321	4	)	)	PUNCT
ap-1183	321	5	265	265	NUM
ap-1183	321	6	.	.	PUNCT
ap-1183	322	1	[	[	X
ap-1183	322	2	16	16	NUM
ap-1183	322	3	]	]	X
ap-1183	322	4	delduc	delduc	PROPN
ap-1183	322	5	,	,	PUNCT
ap-1183	322	6	f.	f.	PROPN
ap-1183	322	7	,	,	PUNCT
ap-1183	322	8	ivanov	ivanov	PROPN
ap-1183	322	9	,	,	PUNCT
ap-1183	322	10	e.	e.	PROPN
ap-1183	322	11	:	:	PUNCT
ap-1183	322	12	nucl	nucl	PROPN
ap-1183	322	13	.	.	PUNCT
ap-1183	323	1	phys	phy	NOUN
ap-1183	323	2	.	.	PUNCT
ap-1183	324	1	b753	b753	NUM
ap-1183	324	2	(	(	PUNCT
ap-1183	324	3	2006	2006	NUM
ap-1183	324	4	)	)	PUNCT
ap-1183	324	5	211	211	NUM
ap-1183	324	6	,	,	PUNCT
ap-1183	324	7	b770	b770	PROPN
ap-1183	324	8	(	(	PUNCT
ap-1183	324	9	2007	2007	NUM
ap-1183	324	10	)	)	PUNCT
ap-1183	324	11	179	179	NUM
ap-1183	324	12	.	.	PUNCT
ap-1183	325	1	[	[	X
ap-1183	325	2	17	17	NUM
ap-1183	325	3	]	]	X
ap-1183	325	4	faddeev	faddeev	PROPN
ap-1183	325	5	,	,	PUNCT
ap-1183	325	6	l.	l.	PROPN
ap-1183	325	7	,	,	PUNCT
ap-1183	325	8	jackiw	jackiw	PROPN
ap-1183	325	9	,	,	PUNCT
ap-1183	325	10	r.	r.	PROPN
ap-1183	325	11	:	:	PUNCT
ap-1183	325	12	phys	phy	NOUN
ap-1183	325	13	.	.	PUNCT
ap-1183	326	1	rev	rev	PROPN
ap-1183	326	2	.	.	PROPN
ap-1183	326	3	lett	lett	PROPN
ap-1183	326	4	.	.	PUNCT
ap-1183	327	1	60	60	NUM
ap-1183	327	2	(	(	PUNCT
ap-1183	327	3	1988	1988	NUM
ap-1183	327	4	)	)	PUNCT
ap-1183	327	5	1692	1692	NUM
ap-1183	327	6	;	;	PUNCT
ap-1183	327	7	dunne	dunne	PROPN
ap-1183	327	8	,	,	PUNCT
ap-1183	327	9	g.	g.	PROPN
ap-1183	327	10	v.	v.	PROPN
ap-1183	327	11	,	,	PUNCT
ap-1183	327	12	jackiw	jackiw	ADV
ap-1183	327	13	,	,	PUNCT
ap-1183	327	14	r.	r.	PROPN
ap-1183	327	15	,	,	PUNCT
ap-1183	327	16	trugenberger	trugenberger	PROPN
ap-1183	327	17	,	,	PUNCT
ap-1183	327	18	c.	c.	PROPN
ap-1183	327	19	a.	a.	PROPN
ap-1183	327	20	:	:	PUNCT
ap-1183	328	1	phys	phy	NOUN
ap-1183	328	2	.	.	PUNCT
ap-1183	329	1	rev	rev	PROPN
ap-1183	329	2	.	.	PROPN
ap-1183	329	3	d41	d41	PROPN
ap-1183	329	4	(	(	PUNCT
ap-1183	329	5	1990	1990	NUM
ap-1183	329	6	)	)	PUNCT
ap-1183	329	7	661	661	NUM
ap-1183	329	8	;	;	PUNCT
ap-1183	329	9	roberto	roberto	PROPN
ap-1183	329	10	,	,	PUNCT
ap-1183	329	11	f.	f.	PROPN
ap-1183	329	12	,	,	PUNCT
ap-1183	329	13	percacci	percacci	PROPN
ap-1183	329	14	,	,	PUNCT
ap-1183	329	15	r.	r.	PROPN
ap-1183	329	16	,	,	PUNCT
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ap-1183	329	18	,	,	PUNCT
ap-1183	329	19	e.	e.	PROPN
ap-1183	329	20	:	:	PUNCT
ap-1183	329	21	nucl	nucl	PROPN
ap-1183	329	22	.	.	PUNCT
ap-1183	330	1	phys	phy	NOUN
ap-1183	330	2	.	.	PUNCT
ap-1183	331	1	b322	b322	PROPN
ap-1183	331	2	(	(	PUNCT
ap-1183	331	3	1989	1989	NUM
ap-1183	331	4	)	)	PUNCT
ap-1183	331	5	255	255	NUM
ap-1183	331	6	;	;	PUNCT
ap-1183	331	7	howe	howe	NOUN
ap-1183	331	8	,	,	PUNCT
ap-1183	331	9	p.	p.	PROPN
ap-1183	331	10	s.	s.	PROPN
ap-1183	331	11	,	,	PUNCT
ap-1183	331	12	townsend	townsend	PROPN
ap-1183	331	13	,	,	PUNCT
ap-1183	331	14	p.	p.	PROPN
ap-1183	331	15	k.	k.	PROPN
ap-1183	331	16	:	:	PUNCT
ap-1183	331	17	class	class	NOUN
ap-1183	331	18	.	.	PUNCT
ap-1183	332	1	quant	quant	NOUN
ap-1183	332	2	.	.	PUNCT
ap-1183	333	1	grav	grav	PROPN
ap-1183	333	2	.	.	PUNCT
ap-1183	333	3	7	7	NUM
ap-1183	333	4	(	(	PUNCT
ap-1183	333	5	1990	1990	NUM
ap-1183	333	6	)	)	PUNCT
ap-1183	333	7	1655	1655	NUM
ap-1183	333	8	.	.	PUNCT
ap-1183	334	1	[	[	X
ap-1183	334	2	18	18	NUM
ap-1183	334	3	]	]	X
ap-1183	334	4	polychronakos	polychronakos	NOUN
ap-1183	334	5	,	,	PUNCT
ap-1183	334	6	a.	a.	NOUN
ap-1183	334	7	p.	p.	NOUN
ap-1183	334	8	:	:	PUNCT
ap-1183	335	1	phys	phy	NOUN
ap-1183	335	2	.	.	PUNCT
ap-1183	336	1	lett	lett	PROPN
ap-1183	336	2	.	.	PUNCT
ap-1183	337	1	b266	b266	PROPN
ap-1183	337	2	,	,	PUNCT
ap-1183	337	3	29	29	NUM
ap-1183	337	4	(	(	PUNCT
ap-1183	337	5	1991	1991	NUM
ap-1183	337	6	)	)	PUNCT
ap-1183	337	7	.	.	PUNCT
ap-1183	338	1	[	[	X
ap-1183	338	2	19	19	NUM
ap-1183	338	3	]	]	SYM
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ap-1183	338	5	,	,	PUNCT
ap-1183	338	6	s.	s.	PROPN
ap-1183	338	7	,	,	PUNCT
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ap-1183	338	9	,	,	PUNCT
ap-1183	338	10	e.	e.	PROPN
ap-1183	338	11	,	,	PUNCT
ap-1183	338	12	lechtenfeld	lechtenfeld	PROPN
ap-1183	338	13	,	,	PUNCT
ap-1183	338	14	o.	o.	NOUN
ap-1183	338	15	:	:	PUNCT
ap-1183	338	16	phys	phy	NOUN
ap-1183	338	17	.	.	PUNCT
ap-1183	338	18	rev	rev	PROPN
ap-1183	338	19	.	.	PROPN
ap-1183	338	20	d79	d79	PROPN
ap-1183	338	21	(	(	PUNCT
ap-1183	338	22	2009	2009	NUM
ap-1183	338	23	)	)	PUNCT
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ap-1183	338	25	.	.	PUNCT
ap-1183	339	1	[	[	X
ap-1183	339	2	20	20	NUM
ap-1183	339	3	]	]	SYM
ap-1183	339	4	fedoruk	fedoruk	NOUN
ap-1183	339	5	,	,	PUNCT
ap-1183	339	6	s.	s.	PROPN
ap-1183	339	7	,	,	PUNCT
ap-1183	339	8	ivanov	ivanov	PROPN
ap-1183	339	9	,	,	PUNCT
ap-1183	339	10	e.	e.	PROPN
ap-1183	339	11	,	,	PUNCT
ap-1183	339	12	lechtenfeld	lechtenfeld	PROPN
ap-1183	339	13	,	,	PUNCT
ap-1183	339	14	o.	o.	PROPN
ap-1183	339	15	:	:	PUNCT
ap-1183	339	16	jhep	jhep	ADJ
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ap-1183	339	18	(	(	PUNCT
ap-1183	339	19	2009	2009	NUM
ap-1183	339	20	)	)	PUNCT
ap-1183	339	21	081	081	NUM
ap-1183	339	22	.	.	PUNCT
ap-1183	340	1	[	[	X
ap-1183	340	2	21	21	NUM
ap-1183	340	3	]	]	SYM
ap-1183	340	4	fedoruk	fedoruk	NOUN
ap-1183	340	5	,	,	PUNCT
ap-1183	340	6	s.	s.	PROPN
ap-1183	340	7	,	,	PUNCT
ap-1183	340	8	ivanov	ivanov	PROPN
ap-1183	340	9	,	,	PUNCT
ap-1183	340	10	e.	e.	PROPN
ap-1183	340	11	,	,	PUNCT
ap-1183	340	12	lechtenfeld	lechtenfeld	PROPN
ap-1183	340	13	,	,	PUNCT
ap-1183	340	14	o.	o.	PROPN
ap-1183	340	15	:	:	PUNCT
ap-1183	340	16	jhep	jhep	ADJ
ap-1183	340	17	1004	1004	NUM
ap-1183	340	18	(	(	PUNCT
ap-1183	340	19	2010	2010	NUM
ap-1183	340	20	)	)	PUNCT
ap-1183	340	21	129	129	NUM
ap-1183	340	22	.	.	PUNCT
ap-1183	341	1	[	[	X
ap-1183	341	2	22	22	NUM
ap-1183	341	3	]	]	PUNCT
ap-1183	341	4	gorsky	gorsky	NOUN
ap-1183	341	5	,	,	PUNCT
ap-1183	341	6	a.	a.	NOUN
ap-1183	341	7	,	,	PUNCT
ap-1183	341	8	nekrasov	nekrasov	NOUN
ap-1183	341	9	,	,	PUNCT
ap-1183	341	10	n.	n.	NOUN
ap-1183	341	11	:	:	PUNCT
ap-1183	341	12	nucl	nucl	PROPN
ap-1183	341	13	.	.	PUNCT
ap-1183	342	1	phys	phy	NOUN
ap-1183	342	2	.	.	PUNCT
ap-1183	343	1	b414	b414	NUM
ap-1183	343	2	(	(	PUNCT
ap-1183	343	3	1994	1994	NUM
ap-1183	343	4	)	)	PUNCT
ap-1183	343	5	213	213	NUM
ap-1183	343	6	.	.	PUNCT
ap-1183	344	1	[	[	X
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ap-1183	344	3	]	]	X
ap-1183	344	4	ivanov	ivanov	PROPN
ap-1183	344	5	,	,	PUNCT
ap-1183	344	6	e.	e.	PROPN
ap-1183	344	7	,	,	PUNCT
ap-1183	344	8	lechtenfeld	lechtenfeld	PROPN
ap-1183	344	9	,	,	PUNCT
ap-1183	344	10	o.	o.	PROPN
ap-1183	344	11	:	:	PUNCT
ap-1183	344	12	jhep	jhep	ADJ
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ap-1183	344	14	(	(	PUNCT
ap-1183	344	15	2003	2003	NUM
ap-1183	344	16	)	)	PUNCT
ap-1183	344	17	073	073	NUM
ap-1183	344	18	.	.	PUNCT
ap-1183	345	1	[	[	X
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ap-1183	345	3	]	]	PUNCT
ap-1183	345	4	galperin	galperin	NOUN
ap-1183	345	5	,	,	PUNCT
ap-1183	345	6	a.	a.	PROPN
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ap-1183	345	8	,	,	PUNCT
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ap-1183	345	10	,	,	PUNCT
ap-1183	345	11	e.	e.	PROPN
ap-1183	345	12	a.	a.	PROPN
ap-1183	345	13	,	,	PUNCT
ap-1183	345	14	ogievetsky	ogievetsky	PROPN
ap-1183	345	15	,	,	PUNCT
ap-1183	345	16	v.	v.	PROPN
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ap-1183	345	18	,	,	PUNCT
ap-1183	345	19	sokatchev	sokatchev	PROPN
ap-1183	345	20	,	,	PUNCT
ap-1183	345	21	e.	e.	PROPN
ap-1183	345	22	s.	s.	PROPN
ap-1183	345	23	:	:	PUNCT
ap-1183	345	24	harmonic	harmonic	ADJ
ap-1183	345	25	superspace	superspace	NOUN
ap-1183	345	26	,	,	PUNCT
ap-1183	345	27	cambridge	cambridge	PROPN
ap-1183	345	28	univ	univ	PROPN
ap-1183	345	29	.	.	PUNCT
ap-1183	346	1	press	press	PROPN
ap-1183	346	2	,	,	PUNCT
ap-1183	346	3	2001	2001	NUM
ap-1183	346	4	.	.	PUNCT
ap-1183	347	1	[	[	X
ap-1183	347	2	25	25	NUM
ap-1183	347	3	]	]	X
ap-1183	347	4	polychronakos	polychronakos	NOUN
ap-1183	347	5	,	,	PUNCT
ap-1183	347	6	a.	a.	NOUN
ap-1183	347	7	p.	p.	NOUN
ap-1183	347	8	:	:	PUNCT
ap-1183	348	1	jhep	jhep	ADJ
ap-1183	348	2	0104	0104	NUM
ap-1183	348	3	(	(	PUNCT
ap-1183	348	4	2001	2001	NUM
ap-1183	348	5	)	)	PUNCT
ap-1183	348	6	011	011	NUM
ap-1183	348	7	;	;	PUNCT
ap-1183	348	8	morariu	morariu	PROPN
ap-1183	348	9	,	,	PUNCT
ap-1183	348	10	b.	b.	PROPN
ap-1183	348	11	,	,	PUNCT
ap-1183	348	12	polychronakos	polychronakos	ADJ
ap-1183	348	13	,	,	PUNCT
ap-1183	348	14	a.	a.	NOUN
ap-1183	348	15	p.	p.	NOUN
ap-1183	348	16	:	:	PUNCT
ap-1183	349	1	jhep	jhep	ADJ
ap-1183	349	2	0107	0107	NUM
ap-1183	349	3	(	(	PUNCT
ap-1183	349	4	2001	2001	NUM
ap-1183	349	5	)	)	PUNCT
ap-1183	349	6	006	006	NUM
ap-1183	349	7	;	;	PUNCT
ap-1183	349	8	phys	phy	NOUN
ap-1183	349	9	.	.	PUNCT
ap-1183	350	1	rev	rev	PROPN
ap-1183	350	2	.	.	PROPN
ap-1183	351	1	d72	d72	PROPN
ap-1183	351	2	(	(	PUNCT
ap-1183	351	3	2005	2005	NUM
ap-1183	351	4	)	)	PUNCT
ap-1183	351	5	125002	125002	NUM
ap-1183	351	6	.	.	PUNCT
ap-1183	352	1	[	[	X
ap-1183	352	2	26	26	NUM
ap-1183	352	3	]	]	X
ap-1183	352	4	ivanov	ivanov	PROPN
ap-1183	352	5	,	,	PUNCT
ap-1183	352	6	e.	e.	PROPN
ap-1183	352	7	,	,	PUNCT
ap-1183	352	8	niederle	niederle	PROPN
ap-1183	352	9	,	,	PUNCT
ap-1183	352	10	j.	j.	PROPN
ap-1183	352	11	:	:	PUNCT
ap-1183	352	12	phys	phy	NOUN
ap-1183	352	13	.	.	PUNCT
ap-1183	353	1	rev	rev	PROPN
ap-1183	353	2	.	.	PROPN
ap-1183	353	3	d80	d80	PROPN
ap-1183	353	4	(	(	PUNCT
ap-1183	353	5	2009	2009	NUM
ap-1183	353	6	)	)	PUNCT
ap-1183	353	7	065027	065027	NUM
ap-1183	353	8	.	.	PUNCT
ap-1183	354	1	sergey	sergey	PROPN
ap-1183	354	2	fedoruk	fedoruk	PROPN
ap-1183	355	1	e	e	NOUN
ap-1183	355	2	-	-	NOUN
ap-1183	355	3	mail	mail	NOUN
ap-1183	355	4	:	:	PUNCT
ap-1183	355	5	fedoruk@theor.jinr.ru	fedoruk@theor.jinr.ru	PROPN
ap-1183	355	6	bogoliubov	bogoliubov	PROPN
ap-1183	355	7	laboratory	laboratory	NOUN
ap-1183	355	8	of	of	ADP
ap-1183	355	9	theoretical	theoretical	ADJ
ap-1183	355	10	physics	physics	NOUN
ap-1183	355	11	,	,	PUNCT
ap-1183	355	12	jinr	jinr	PROPN
ap-1183	355	13	141980	141980	NUM
ap-1183	355	14	dubna	dubna	NOUN
ap-1183	355	15	,	,	PUNCT
ap-1183	355	16	moscow	moscow	PROPN
ap-1183	355	17	region	region	NOUN
ap-1183	355	18	,	,	PUNCT
ap-1183	355	19	russia	russia	PROPN
ap-1183	355	20	29	29	NUM