id	sid	tid	token	lemma	pos
easat-9474	1	1	edelweiss	edelweiss	PROPN
easat-9474	1	2	applied	apply	VERB
easat-9474	1	3	science	science	NOUN
easat-9474	1	4	and	and	CCONJ
easat-9474	1	5	technology	technology	NOUN
easat-9474	1	6	issn	issn	PROPN
easat-9474	1	7	:	:	PUNCT
easat-9474	1	8	2576	2576	NUM
easat-9474	1	9	-	-	SYM
easat-9474	1	10	8484	8484	NUM
easat-9474	1	11	vol	vol	NOUN
easat-9474	1	12	.	.	PROPN
easat-9474	2	1	9	9	NUM
easat-9474	2	2	,	,	PUNCT
easat-9474	2	3	no	no	INTJ
easat-9474	2	4	.	.	NOUN
easat-9474	2	5	8	8	NUM
easat-9474	2	6	,	,	PUNCT
easat-9474	2	7	913	913	NUM
easat-9474	2	8	-	-	SYM
easat-9474	2	9	930	930	NUM
easat-9474	2	10	2025	2025	NUM
easat-9474	2	11	publisher	publisher	NOUN
easat-9474	2	12	:	:	PUNCT
easat-9474	2	13	learning	learn	VERB
easat-9474	2	14	gate	gate	NOUN
easat-9474	2	15	doi	doi	PROPN
easat-9474	2	16	:	:	PUNCT
easat-9474	2	17	10.55214/2576	10.55214/2576	NUM
easat-9474	2	18	-	-	PUNCT
easat-9474	2	19	8484.v9i8.9474	8484.v9i8.9474	NOUN
easat-9474	3	1	©	©	PROPN
easat-9474	3	2	2025	2025	NUM
easat-9474	3	3	by	by	ADP
easat-9474	3	4	the	the	DET
easat-9474	3	5	authors	author	NOUN
easat-9474	3	6	;	;	PUNCT
easat-9474	3	7	licensee	licensee	PROPN
easat-9474	3	8	learning	learning	NOUN
easat-9474	3	9	gate	gate	NOUN
easat-9474	3	10	©	©	PROPN
easat-9474	3	11	2025	2025	NUM
easat-9474	3	12	by	by	ADP
easat-9474	3	13	the	the	DET
easat-9474	3	14	authors	author	NOUN
easat-9474	3	15	;	;	PUNCT
easat-9474	3	16	licensee	licensee	PROPN
easat-9474	3	17	learning	learning	NOUN
easat-9474	3	18	gate	gate	NOUN
easat-9474	3	19	history	history	NOUN
easat-9474	3	20	:	:	PUNCT
easat-9474	3	21	received	receive	VERB
easat-9474	3	22	:	:	PUNCT
easat-9474	3	23	11	11	NUM
easat-9474	3	24	june	june	PROPN
easat-9474	3	25	2025	2025	NUM
easat-9474	3	26	;	;	PUNCT
easat-9474	3	27	revised	revise	VERB
easat-9474	3	28	:	:	PUNCT
easat-9474	3	29	14	14	NUM
easat-9474	3	30	june	june	PROPN
easat-9474	3	31	2025	2025	NUM
easat-9474	3	32	;	;	PUNCT
easat-9474	3	33	accepted	accept	VERB
easat-9474	3	34	:	:	PUNCT
easat-9474	3	35	18	18	NUM
easat-9474	3	36	june	june	PROPN
easat-9474	3	37	2025	2025	NUM
easat-9474	3	38	;	;	PUNCT
easat-9474	3	39	published	publish	VERB
easat-9474	3	40	:	:	PUNCT
easat-9474	3	41	15	15	NUM
easat-9474	3	42	august	august	PROPN
easat-9474	3	43	2025	2025	NUM
easat-9474	3	44	*	*	PUNCT
easat-9474	3	45	correspondence	correspondence	NOUN
easat-9474	3	46	:	:	PUNCT
easat-9474	3	47	abdelmoumene.medadib@umc.edu.dz	abdelmoumene.medadib@umc.edu.dz	NUM
easat-9474	3	48	parafermionic	parafermionic	ADJ
easat-9474	3	49	open	open	ADJ
easat-9474	3	50	string	string	NOUN
easat-9474	3	51	theory	theory	NOUN
easat-9474	3	52	in	in	ADP
easat-9474	3	53	noncommutative	noncommutative	ADJ
easat-9474	3	54	phase	phase	NOUN
easat-9474	3	55	-	-	PUNCT
easat-9474	3	56	space	space	NOUN
easat-9474	3	57	mohamed	mohamed	PROPN
easat-9474	3	58	adib	adib	PROPN
easat-9474	3	59	abdelmoumene1	abdelmoumene1	PROPN
easat-9474	3	60	*	*	PROPN
easat-9474	3	61	,	,	PUNCT
easat-9474	3	62	nadir	nadir	NOUN
easat-9474	3	63	belaloui2	belaloui2	NOUN
easat-9474	4	1	1,2physics	1,2physics	NUM
easat-9474	4	2	department	department	NOUN
easat-9474	4	3	,	,	PUNCT
easat-9474	4	4	laboratoire	laboratoire	PROPN
easat-9474	4	5	de	de	X
easat-9474	4	6	physique	physique	PROPN
easat-9474	4	7	mathématique	mathématique	PROPN
easat-9474	4	8	et	et	PROPN
easat-9474	4	9	physique	physique	PROPN
easat-9474	4	10	subatomique	subatomique	NOUN
easat-9474	4	11	,	,	PUNCT
easat-9474	4	12	lpmps	lpmp	NOUN
easat-9474	4	13	,	,	PUNCT
easat-9474	4	14	university	university	NOUN
easat-9474	4	15	mentouri	mentouri	NOUN
easat-9474	4	16	constantine	constantine	PROPN
easat-9474	4	17	1	1	NUM
easat-9474	4	18	,	,	PUNCT
easat-9474	4	19	constantine	constantine	PROPN
easat-9474	4	20	,	,	PUNCT
easat-9474	4	21	algeria	algeria	PROPN
easat-9474	4	22	;	;	PUNCT
easat-9474	4	23	abdelmoumene.medadib@umc.edu.dz	abdelmoumene.medadib@umc.edu.dz	PROPN
easat-9474	4	24	(	(	PUNCT
easat-9474	4	25	m.a.a	m.a.a	NOUN
easat-9474	4	26	.	.	PUNCT
easat-9474	4	27	)	)	PUNCT
easat-9474	5	1	belaloui.nadir@umc.edu.dz	belaloui.nadir@umc.edu.dz	NOUN
easat-9474	6	1	(	(	PUNCT
easat-9474	6	2	n.b	n.b	NOUN
easat-9474	6	3	.	.	PUNCT
easat-9474	6	4	)	)	PUNCT
easat-9474	7	1	abstract	abstract	NOUN
easat-9474	7	2	:	:	PUNCT
easat-9474	7	3	we	we	PRON
easat-9474	7	4	study	study	VERB
easat-9474	7	5	how	how	SCONJ
easat-9474	7	6	a	a	DET
easat-9474	7	7	free	free	ADJ
easat-9474	7	8	,	,	PUNCT
easat-9474	7	9	open	open	ADJ
easat-9474	7	10	parafermionic	parafermionic	ADJ
easat-9474	7	11	string	string	NOUN
easat-9474	7	12	theory	theory	NOUN
easat-9474	7	13	behaves	behave	VERB
easat-9474	7	14	when	when	SCONJ
easat-9474	7	15	its	its	PRON
easat-9474	7	16	target	target	NOUN
easat-9474	7	17	space	space	NOUN
easat-9474	7	18	is	be	AUX
easat-9474	7	19	noncommutative	noncommutative	ADJ
easat-9474	7	20	.	.	PUNCT
easat-9474	8	1	we	we	PRON
easat-9474	8	2	consider	consider	VERB
easat-9474	8	3	noncommutativity	noncommutativity	NOUN
easat-9474	8	4	in	in	ADP
easat-9474	8	5	both	both	DET
easat-9474	8	6	space	space	NOUN
easat-9474	8	7	and	and	CCONJ
easat-9474	8	8	momentum	momentum	NOUN
easat-9474	8	9	.	.	PUNCT
easat-9474	9	1	we	we	PRON
easat-9474	9	2	find	find	VERB
easat-9474	9	3	new	new	ADJ
easat-9474	9	4	trilinear	trilinear	ADJ
easat-9474	9	5	commutation	commutation	NOUN
easat-9474	9	6	relations	relation	NOUN
easat-9474	9	7	for	for	ADP
easat-9474	9	8	the	the	DET
easat-9474	9	9	string	string	NOUN
easat-9474	9	10	’s	’s	PART
easat-9474	9	11	oscillating	oscillate	VERB
easat-9474	9	12	modes	mode	NOUN
easat-9474	9	13	and	and	CCONJ
easat-9474	9	14	modified	modify	VERB
easat-9474	9	15	virasoro	virasoro	NOUN
easat-9474	9	16	superalgebras	superalgebra	NOUN
easat-9474	9	17	with	with	ADP
easat-9474	9	18	additional	additional	ADJ
easat-9474	9	19	anomaly	anomaly	NOUN
easat-9474	9	20	terms	term	NOUN
easat-9474	9	21	.	.	PUNCT
easat-9474	10	1	this	this	DET
easat-9474	10	2	noncommutativity	noncommutativity	NOUN
easat-9474	10	3	breaks	break	VERB
easat-9474	10	4	lorentz	lorentz	PROPN
easat-9474	10	5	invariance	invariance	NOUN
easat-9474	10	6	and	and	CCONJ
easat-9474	10	7	makes	make	VERB
easat-9474	10	8	the	the	DET
easat-9474	10	9	mass	mass	ADJ
easat-9474	10	10	operator	operator	NOUN
easat-9474	10	11	non	non	ADJ
easat-9474	10	12	-	-	ADJ
easat-9474	10	13	diagonal	diagonal	ADJ
easat-9474	10	14	.	.	PUNCT
easat-9474	11	1	to	to	PART
easat-9474	11	2	address	address	VERB
easat-9474	11	3	these	these	DET
easat-9474	11	4	issues	issue	NOUN
easat-9474	11	5	,	,	PUNCT
easat-9474	11	6	we	we	PRON
easat-9474	11	7	propose	propose	VERB
easat-9474	11	8	a	a	DET
easat-9474	11	9	new	new	ADJ
easat-9474	11	10	fock	fock	ADJ
easat-9474	11	11	space	space	NOUN
easat-9474	11	12	that	that	PRON
easat-9474	11	13	diagonalizes	diagonalize	VERB
easat-9474	11	14	the	the	DET
easat-9474	11	15	noncommutativity	noncommutativity	ADJ
easat-9474	11	16	parameter	parameter	NOUN
easat-9474	11	17	matrices	matrix	NOUN
easat-9474	11	18	,	,	PUNCT
easat-9474	11	19	leading	lead	VERB
easat-9474	11	20	to	to	ADP
easat-9474	11	21	a	a	DET
easat-9474	11	22	diagonalized	diagonalize	VERB
easat-9474	11	23	mass	mass	NOUN
easat-9474	11	24	operator	operator	NOUN
easat-9474	11	25	.	.	PUNCT
easat-9474	12	1	we	we	PRON
easat-9474	12	2	also	also	ADV
easat-9474	12	3	impose	impose	VERB
easat-9474	12	4	constraints	constraint	NOUN
easat-9474	12	5	on	on	ADP
easat-9474	12	6	the	the	DET
easat-9474	12	7	noncommutativity	noncommutativity	NOUN
easat-9474	12	8	parameters	parameter	NOUN
easat-9474	12	9	to	to	PART
easat-9474	12	10	eliminate	eliminate	VERB
easat-9474	12	11	the	the	DET
easat-9474	12	12	anomalies	anomaly	NOUN
easat-9474	12	13	and	and	CCONJ
easat-9474	12	14	recover	recover	VERB
easat-9474	12	15	the	the	DET
easat-9474	12	16	usual	usual	ADJ
easat-9474	12	17	mass	mass	NOUN
easat-9474	12	18	spectrum	spectrum	NOUN
easat-9474	12	19	.	.	PUNCT
easat-9474	13	1	this	this	PRON
easat-9474	13	2	allows	allow	VERB
easat-9474	13	3	for	for	ADP
easat-9474	13	4	the	the	DET
easat-9474	13	5	gso	gso	PROPN
easat-9474	13	6	projection	projection	NOUN
easat-9474	13	7	,	,	PUNCT
easat-9474	13	8	which	which	PRON
easat-9474	13	9	restores	restore	VERB
easat-9474	13	10	spacetime	spacetime	ADJ
easat-9474	13	11	supersymmetry	supersymmetry	NOUN
easat-9474	13	12	.	.	PUNCT
easat-9474	14	1	finally	finally	ADV
easat-9474	14	2	,	,	PUNCT
easat-9474	14	3	we	we	PRON
easat-9474	14	4	impose	impose	VERB
easat-9474	14	5	additional	additional	ADJ
easat-9474	14	6	constraints	constraint	NOUN
easat-9474	14	7	on	on	ADP
easat-9474	14	8	the	the	DET
easat-9474	14	9	zero	zero	NUM
easat-9474	14	10	modes	mode	NOUN
easat-9474	14	11	of	of	ADP
easat-9474	14	12	the	the	DET
easat-9474	14	13	noncommutativity	noncommutativity	NOUN
easat-9474	14	14	parameters	parameter	NOUN
easat-9474	14	15	to	to	PART
easat-9474	14	16	recover	recover	VERB
easat-9474	14	17	lorentz	lorentz	PROPN
easat-9474	14	18	invariance	invariance	NOUN
easat-9474	14	19	.	.	PUNCT
easat-9474	15	1	in	in	ADP
easat-9474	15	2	general	general	ADJ
easat-9474	15	3	,	,	PUNCT
easat-9474	15	4	our	our	PRON
easat-9474	15	5	work	work	NOUN
easat-9474	15	6	provides	provide	VERB
easat-9474	15	7	a	a	DET
easat-9474	15	8	clearer	clear	ADJ
easat-9474	15	9	picture	picture	NOUN
easat-9474	15	10	of	of	ADP
easat-9474	15	11	how	how	SCONJ
easat-9474	15	12	noncommutative	noncommutative	ADJ
easat-9474	15	13	structures	structure	NOUN
easat-9474	15	14	can	can	AUX
easat-9474	15	15	be	be	AUX
easat-9474	15	16	meaningfully	meaningfully	ADV
easat-9474	15	17	included	include	VERB
easat-9474	15	18	in	in	ADP
easat-9474	15	19	string	string	NOUN
easat-9474	15	20	theory	theory	NOUN
easat-9474	15	21	and	and	CCONJ
easat-9474	15	22	suggests	suggest	VERB
easat-9474	15	23	that	that	SCONJ
easat-9474	15	24	even	even	ADV
easat-9474	15	25	subtle	subtle	ADJ
easat-9474	15	26	deformations	deformation	NOUN
easat-9474	15	27	can	can	AUX
easat-9474	15	28	carry	carry	VERB
easat-9474	15	29	significant	significant	ADJ
easat-9474	15	30	consequences	consequence	NOUN
easat-9474	15	31	for	for	ADP
easat-9474	15	32	the	the	DET
easat-9474	15	33	theory	theory	NOUN
easat-9474	15	34	’s	’s	PART
easat-9474	15	35	symmetry	symmetry	NOUN
easat-9474	15	36	and	and	CCONJ
easat-9474	15	37	dynamics	dynamic	NOUN
easat-9474	15	38	.	.	PUNCT
easat-9474	16	1	keywords	keyword	NOUN
easat-9474	16	2	:	:	PUNCT
easat-9474	16	3	gso	gso	PROPN
easat-9474	16	4	projection	projection	NOUN
easat-9474	16	5	,	,	PUNCT
easat-9474	16	6	lorentz	lorentz	PROPN
easat-9474	16	7	algebra	algebra	PROPN
easat-9474	16	8	,	,	PUNCT
easat-9474	16	9	noncommutativity	noncommutativity	NOUN
easat-9474	16	10	,	,	PUNCT
easat-9474	16	11	parafermionic	parafermionic	ADJ
easat-9474	16	12	strings	string	NOUN
easat-9474	16	13	,	,	PUNCT
easat-9474	16	14	virasoro	virasoro	VERB
easat-9474	16	15	super	super	NOUN
easat-9474	16	16	-	-	NOUN
easat-9474	16	17	algebra	algebra	NOUN
easat-9474	16	18	.	.	PUNCT
easat-9474	17	1	1	1	X
easat-9474	17	2	.	.	X
easat-9474	17	3	introduction	introduction	NOUN
easat-9474	17	4	the	the	DET
easat-9474	17	5	idea	idea	NOUN
easat-9474	17	6	of	of	ADP
easat-9474	17	7	paraquantization	paraquantization	NOUN
easat-9474	17	8	began	begin	VERB
easat-9474	17	9	in	in	ADP
easat-9474	17	10	1950	1950	NUM
easat-9474	17	11	by	by	ADP
easat-9474	17	12	wigner	wigner	NOUN
easat-9474	17	13	[	[	X
easat-9474	17	14	1	1	NUM
easat-9474	17	15	]	]	PUNCT
easat-9474	17	16	who	who	PRON
easat-9474	17	17	showed	show	VERB
easat-9474	17	18	that	that	SCONJ
easat-9474	17	19	the	the	DET
easat-9474	17	20	bilinear	bilinear	ADJ
easat-9474	17	21	canonical	canonical	ADJ
easat-9474	17	22	commutation	commutation	NOUN
easat-9474	17	23	relations	relation	NOUN
easat-9474	17	24	are	be	AUX
easat-9474	17	25	a	a	DET
easat-9474	17	26	particular	particular	ADJ
easat-9474	17	27	solution	solution	NOUN
easat-9474	17	28	in	in	ADP
easat-9474	17	29	order	order	NOUN
easat-9474	17	30	to	to	PART
easat-9474	17	31	satisfy	satisfy	VERB
easat-9474	17	32	the	the	DET
easat-9474	17	33	wave	wave	NOUN
easat-9474	17	34	-	-	PUNCT
easat-9474	17	35	particle	particle	NOUN
easat-9474	17	36	duality	duality	NOUN
easat-9474	17	37	.	.	PUNCT
easat-9474	18	1	in	in	ADP
easat-9474	18	2	1953	1953	NUM
easat-9474	18	3	,	,	PUNCT
easat-9474	18	4	green	green	ADJ
easat-9474	19	1	[	[	X
easat-9474	19	2	2	2	NUM
easat-9474	19	3	]	]	PUNCT
easat-9474	19	4	generalized	generalize	VERB
easat-9474	19	5	the	the	DET
easat-9474	19	6	creation	creation	NOUN
easat-9474	19	7	-	-	PUNCT
easat-9474	19	8	annihilation	annihilation	NOUN
easat-9474	19	9	operator	operator	NOUN
easat-9474	19	10	algebra	algebra	NOUN
easat-9474	19	11	for	for	ADP
easat-9474	19	12	bosons	boson	NOUN
easat-9474	19	13	and	and	CCONJ
easat-9474	19	14	fermions	fermion	NOUN
easat-9474	19	15	based	base	VERB
easat-9474	19	16	on	on	ADP
easat-9474	19	17	trilinear	trilinear	ADJ
easat-9474	19	18	commutation	commutation	NOUN
easat-9474	19	19	relations	relation	NOUN
easat-9474	19	20	.	.	PUNCT
easat-9474	20	1	this	this	DET
easat-9474	20	2	paraquantization	paraquantization	NOUN
easat-9474	20	3	is	be	AUX
easat-9474	20	4	parametrized	parametrize	VERB
easat-9474	20	5	by	by	ADP
easat-9474	20	6	the	the	DET
easat-9474	20	7	order	order	NOUN
easat-9474	20	8	q	q	NOUN
easat-9474	21	1	such	such	ADJ
easat-9474	21	2	that	that	PRON
easat-9474	21	3	q	q	NOUN
easat-9474	21	4	=	=	SYM
easat-9474	21	5	1	1	NUM
easat-9474	21	6	represents	represent	VERB
easat-9474	21	7	the	the	DET
easat-9474	21	8	usual	usual	ADJ
easat-9474	21	9	canonical	canonical	ADJ
easat-9474	21	10	quantization	quantization	NOUN
easat-9474	21	11	.	.	PUNCT
easat-9474	22	1	one	one	PRON
easat-9474	22	2	can	can	AUX
easat-9474	22	3	check	check	VERB
easat-9474	22	4	as	as	ADP
easat-9474	22	5	an	an	DET
easat-9474	22	6	application	application	NOUN
easat-9474	22	7	of	of	ADP
easat-9474	22	8	the	the	DET
easat-9474	22	9	paraquantization	paraquantization	NOUN
easat-9474	22	10	in	in	ADP
easat-9474	22	11	string	string	NOUN
easat-9474	22	12	theory	theory	NOUN
easat-9474	22	13	done	do	VERB
easat-9474	22	14	by	by	ADP
easat-9474	22	15	ardalan	ardalan	NOUN
easat-9474	22	16	and	and	CCONJ
easat-9474	22	17	mansouri	mansouri	PROPN
easat-9474	23	1	[	[	X
easat-9474	23	2	3	3	X
easat-9474	23	3	]	]	PUNCT
easat-9474	23	4	in	in	ADP
easat-9474	23	5	which	which	PRON
easat-9474	23	6	they	they	PRON
easat-9474	23	7	considered	consider	VERB
easat-9474	23	8	the	the	DET
easat-9474	23	9	center	center	NOUN
easat-9474	23	10	-	-	PUNCT
easat-9474	23	11	of	of	ADP
easat-9474	23	12	-	-	PUNCT
easat-9474	23	13	mass	mass	NOUN
easat-9474	23	14	coordinates	coordinate	NOUN
easat-9474	23	15	obey	obey	VERB
easat-9474	23	16	the	the	DET
easat-9474	23	17	ordinary	ordinary	ADJ
easat-9474	23	18	commutation	commutation	NOUN
easat-9474	23	19	relations	relation	NOUN
easat-9474	23	20	,	,	PUNCT
easat-9474	23	21	however	however	ADV
easat-9474	23	22	,	,	PUNCT
easat-9474	23	23	the	the	DET
easat-9474	23	24	oscillations	oscillation	NOUN
easat-9474	23	25	are	be	AUX
easat-9474	23	26	written	write	VERB
easat-9474	23	27	in	in	ADP
easat-9474	23	28	the	the	DET
easat-9474	23	29	paraquantum	paraquantum	NOUN
easat-9474	23	30	mode	mode	NOUN
easat-9474	23	31	.	.	PUNCT
easat-9474	24	1	another	another	DET
easat-9474	24	2	application	application	NOUN
easat-9474	24	3	was	be	AUX
easat-9474	24	4	investigated	investigate	VERB
easat-9474	24	5	[	[	PUNCT
easat-9474	24	6	4	4	NUM
easat-9474	24	7	-	-	SYM
easat-9474	24	8	6	6	NUM
easat-9474	24	9	]	]	PUNCT
easat-9474	24	10	where	where	SCONJ
easat-9474	24	11	the	the	DET
easat-9474	24	12	string	string	NOUN
easat-9474	24	13	variables	variable	NOUN
easat-9474	24	14	verify	verify	VERB
easat-9474	24	15	the	the	DET
easat-9474	24	16	trilinear	trilinear	ADJ
easat-9474	24	17	commutation	commutation	NOUN
easat-9474	24	18	relations	relation	NOUN
easat-9474	24	19	.	.	PUNCT
easat-9474	25	1	as	as	ADP
easat-9474	25	2	results	result	NOUN
easat-9474	25	3	for	for	ADP
easat-9474	25	4	the	the	DET
easat-9474	25	5	two	two	NUM
easat-9474	25	6	approaches	approach	NOUN
easat-9474	25	7	,	,	PUNCT
easat-9474	25	8	new	new	ADJ
easat-9474	25	9	possibility	possibility	NOUN
easat-9474	25	10	of	of	ADP
easat-9474	25	11	a	a	DET
easat-9474	25	12	critical	critical	ADJ
easat-9474	25	13	dimensions	dimension	NOUN
easat-9474	25	14	are	be	AUX
easat-9474	25	15	obtained	obtain	VERB
easat-9474	25	16	:	:	PUNCT
easat-9474	25	17	24	24	NUM
easat-9474	25	18	2d	2d	NOUN
easat-9474	25	19	q	q	NOUN
easat-9474	26	1	=	=	SYM
easat-9474	27	1	+	+	CCONJ
easat-9474	27	2	for	for	ADP
easat-9474	27	3	the	the	DET
easat-9474	27	4	parabosonic	parabosonic	NOUN
easat-9474	27	5	string	string	NOUN
easat-9474	27	6	,	,	PUNCT
easat-9474	27	7	2	2	NUM
easat-9474	27	8	8	8	NUM
easat-9474	27	9	d	d	NOUN
easat-9474	27	10	q	q	NOUN
easat-9474	28	1	=	=	X
easat-9474	28	2	+	+	CCONJ
easat-9474	28	3	for	for	ADP
easat-9474	28	4	paraspining	paraspine	VERB
easat-9474	28	5	string	string	NOUN
easat-9474	28	6	and	and	CCONJ
easat-9474	28	7	24	24	NUM
easat-9474	28	8	3d	3d	NUM
easat-9474	28	9	q	q	NOUN
easat-9474	29	1	=	=	SYM
easat-9474	29	2	+	+	CCONJ
easat-9474	29	3	for	for	ADP
easat-9474	29	4	parabosonic	parabosonic	ADJ
easat-9474	29	5	membrane	membrane	NOUN
easat-9474	29	6	.	.	PUNCT
easat-9474	30	1	a	a	DET
easat-9474	30	2	bosonic	bosonic	NOUN
easat-9474	30	3	string	string	NOUN
easat-9474	30	4	in	in	ADP
easat-9474	30	5	noncommutative	noncommutative	ADJ
easat-9474	30	6	space	space	NOUN
easat-9474	30	7	-	-	PUNCT
easat-9474	30	8	time	time	NOUN
easat-9474	30	9	[	[	X
easat-9474	30	10	7	7	NUM
easat-9474	30	11	]	]	PUNCT
easat-9474	30	12	can	can	AUX
easat-9474	30	13	be	be	AUX
easat-9474	30	14	generalized	generalize	VERB
easat-9474	30	15	into	into	ADP
easat-9474	30	16	the	the	DET
easat-9474	30	17	paraquantum	paraquantum	NOUN
easat-9474	30	18	case	case	NOUN
easat-9474	30	19	[	[	X
easat-9474	30	20	8	8	NUM
easat-9474	30	21	]	]	PUNCT
easat-9474	30	22	indeed	indeed	ADV
easat-9474	30	23	,	,	PUNCT
easat-9474	30	24	it	it	PRON
easat-9474	30	25	was	be	AUX
easat-9474	30	26	found	find	VERB
easat-9474	30	27	that	that	SCONJ
easat-9474	30	28	the	the	DET
easat-9474	30	29	virasoro	virasoro	NOUN
easat-9474	30	30	algebra	algebra	PROPN
easat-9474	30	31	contains	contain	VERB
easat-9474	30	32	a	a	DET
easat-9474	30	33	new	new	ADJ
easat-9474	30	34	term	term	NOUN
easat-9474	30	35	of	of	ADP
easat-9474	30	36	anomaly	anomaly	NOUN
easat-9474	30	37	and	and	CCONJ
easat-9474	30	38	the	the	DET
easat-9474	30	39	reconstruction	reconstruction	NOUN
easat-9474	30	40	of	of	ADP
easat-9474	30	41	the	the	DET
easat-9474	30	42	fock	fock	ADJ
easat-9474	30	43	space	space	NOUN
easat-9474	30	44	is	be	AUX
easat-9474	30	45	needed	need	VERB
easat-9474	30	46	,	,	PUNCT
easat-9474	30	47	in	in	ADP
easat-9474	30	48	order	order	NOUN
easat-9474	30	49	to	to	PART
easat-9474	30	50	restore	restore	VERB
easat-9474	30	51	the	the	DET
easat-9474	30	52	photon	photon	NOUN
easat-9474	30	53	state	state	NOUN
easat-9474	30	54	.	.	PUNCT
easat-9474	31	1	for	for	ADP
easat-9474	31	2	a	a	DET
easat-9474	31	3	parabosonic	parabosonic	NOUN
easat-9474	31	4	string	string	NOUN
easat-9474	31	5	between	between	ADP
easat-9474	31	6	two	two	NUM
easat-9474	31	7	parallel	parallel	ADJ
easat-9474	31	8	dp	dp	NOUN
easat-9474	31	9	and	and	CCONJ
easat-9474	31	10	dq	dq	ADP
easat-9474	31	11	brane	brane	NOUN
easat-9474	31	12	,	,	PUNCT
easat-9474	31	13	and	and	CCONJ
easat-9474	31	14	by	by	ADP
easat-9474	31	15	taking	take	VERB
easat-9474	31	16	some	some	DET
easat-9474	31	17	restriction	restriction	NOUN
easat-9474	31	18	on	on	ADP
easat-9474	31	19	the	the	DET
easat-9474	31	20	noncommutative	noncommutative	ADJ
easat-9474	31	21	parameters	parameter	NOUN
easat-9474	31	22	,	,	PUNCT
easat-9474	31	23	the	the	DET
easat-9474	31	24	model	model	NOUN
easat-9474	31	25	will	will	AUX
easat-9474	31	26	be	be	AUX
easat-9474	31	27	free	free	ADJ
easat-9474	31	28	of	of	ADP
easat-9474	31	29	tachyon	tachyon	NOUN
easat-9474	31	30	.	.	PUNCT
easat-9474	32	1	finally	finally	ADV
easat-9474	32	2	,	,	PUNCT
easat-9474	32	3	the	the	DET
easat-9474	32	4	closed	closed	ADJ
easat-9474	32	5	parabosonic	parabosonic	NOUN
easat-9474	32	6	string	string	NOUN
easat-9474	32	7	has	have	AUX
easat-9474	32	8	been	be	AUX
easat-9474	32	9	investigated	investigate	VERB
easat-9474	32	10	,	,	PUNCT
easat-9474	32	11	where	where	SCONJ
easat-9474	32	12	they	they	PRON
easat-9474	32	13	demonstrate	demonstrate	VERB
easat-9474	32	14	a	a	DET
easat-9474	32	15	reduction	reduction	NOUN
easat-9474	32	16	in	in	ADP
easat-9474	32	17	the	the	DET
easat-9474	32	18	spectrum	spectrum	NOUN
easat-9474	32	19	,	,	PUNCT
easat-9474	32	20	specifically	specifically	ADV
easat-9474	32	21	restoring	restore	VERB
easat-9474	32	22	the	the	DET
easat-9474	32	23	critical	critical	ADJ
easat-9474	32	24	massless	massless	NOUN
easat-9474	32	25	graviton	graviton	NOUN
easat-9474	32	26	state	state	NOUN
easat-9474	32	27	.	.	PUNCT
easat-9474	33	1	914	914	NUM
easat-9474	33	2	edelweiss	edelweiss	PROPN
easat-9474	33	3	applied	apply	VERB
easat-9474	33	4	science	science	NOUN
easat-9474	33	5	and	and	CCONJ
easat-9474	33	6	technology	technology	NOUN
easat-9474	33	7	issn	issn	PROPN
easat-9474	33	8	:	:	PUNCT
easat-9474	33	9	2576	2576	NUM
easat-9474	33	10	-	-	SYM
easat-9474	33	11	8484	8484	NUM
easat-9474	33	12	vol	vol	NOUN
easat-9474	33	13	.	.	PROPN
easat-9474	34	1	9	9	NUM
easat-9474	34	2	,	,	PUNCT
easat-9474	34	3	no	no	INTJ
easat-9474	34	4	.	.	NOUN
easat-9474	34	5	8	8	NUM
easat-9474	34	6	:	:	PUNCT
easat-9474	34	7	913	913	NUM
easat-9474	34	8	-	-	SYM
easat-9474	34	9	930	930	NUM
easat-9474	34	10	,	,	PUNCT
easat-9474	34	11	2025	2025	NUM
easat-9474	34	12	doi	doi	NOUN
easat-9474	34	13	:	:	PUNCT
easat-9474	34	14	10.55214/2576	10.55214/2576	NUM
easat-9474	34	15	-	-	PUNCT
easat-9474	34	16	8484.v9i8.9474	8484.v9i8.9474	NOUN
easat-9474	35	1	©	©	PROPN
easat-9474	35	2	2025	2025	NUM
easat-9474	35	3	by	by	ADP
easat-9474	35	4	the	the	DET
easat-9474	35	5	authors	author	NOUN
easat-9474	35	6	;	;	PUNCT
easat-9474	35	7	licensee	licensee	PROPN
easat-9474	35	8	learning	learning	NOUN
easat-9474	35	9	gate	gate	NOUN
easat-9474	35	10	for	for	ADP
easat-9474	35	11	the	the	DET
easat-9474	35	12	fermionic	fermionic	NOUN
easat-9474	35	13	case	case	NOUN
easat-9474	35	14	hamam	hamam	PROPN
easat-9474	35	15	and	and	CCONJ
easat-9474	35	16	belaloui	belaloui	VERB
easat-9474	36	1	[	[	X
easat-9474	36	2	9	9	NUM
easat-9474	36	3	]	]	PUNCT
easat-9474	36	4	and	and	CCONJ
easat-9474	36	5	hammam	hammam	PROPN
easat-9474	36	6	and	and	CCONJ
easat-9474	36	7	belaloui	belaloui	VERB
easat-9474	36	8	[	[	X
easat-9474	36	9	10	10	NUM
easat-9474	36	10	]	]	PUNCT
easat-9474	36	11	between	between	ADP
easat-9474	36	12	two	two	NUM
easat-9474	36	13	parallel	parallel	ADJ
easat-9474	36	14	dp-	dp-	NOUN
easat-9474	36	15	,	,	PUNCT
easat-9474	36	16	dq	dq	NOUN
easat-9474	36	17	-	-	PUNCT
easat-9474	36	18	branes	brane	NOUN
easat-9474	36	19	in	in	ADP
easat-9474	36	20	ramond	ramond	NOUN
easat-9474	36	21	and	and	CCONJ
easat-9474	36	22	neveu	neveu	PROPN
easat-9474	36	23	–	–	PUNCT
easat-9474	36	24	schwarz	schwarz	PROPN
easat-9474	36	25	sectors	sector	NOUN
easat-9474	36	26	,	,	PUNCT
easat-9474	36	27	the	the	DET
easat-9474	36	28	study	study	NOUN
easat-9474	36	29	examines	examine	VERB
easat-9474	36	30	the	the	DET
easat-9474	36	31	possible	possible	ADJ
easat-9474	36	32	existence	existence	NOUN
easat-9474	36	33	of	of	ADP
easat-9474	36	34	a	a	DET
easat-9474	36	35	free	free	ADJ
easat-9474	36	36	tachyon	tachyon	NOUN
easat-9474	36	37	model	model	NOUN
easat-9474	36	38	within	within	ADP
easat-9474	36	39	this	this	DET
easat-9474	36	40	system	system	NOUN
easat-9474	36	41	under	under	ADP
easat-9474	36	42	specific	specific	ADJ
easat-9474	36	43	conditions	condition	NOUN
easat-9474	36	44	related	relate	VERB
easat-9474	36	45	to	to	ADP
easat-9474	36	46	paraquantization	paraquantization	NOUN
easat-9474	36	47	and	and	CCONJ
easat-9474	36	48	brane	brane	NOUN
easat-9474	36	49	dimensions	dimension	NOUN
easat-9474	36	50	.	.	PUNCT
easat-9474	37	1	to	to	PART
easat-9474	37	2	validate	validate	VERB
easat-9474	37	3	the	the	DET
easat-9474	37	4	model	model	NOUN
easat-9474	37	5	,	,	PUNCT
easat-9474	37	6	the	the	DET
easat-9474	37	7	partition	partition	NOUN
easat-9474	37	8	function	function	NOUN
easat-9474	37	9	is	be	AUX
easat-9474	37	10	calculated	calculate	VERB
easat-9474	37	11	and	and	CCONJ
easat-9474	37	12	compared	compare	VERB
easat-9474	37	13	to	to	ADP
easat-9474	37	14	the	the	DET
easat-9474	37	15	results	result	NOUN
easat-9474	37	16	of	of	ADP
easat-9474	37	17	degeneracies	degeneracy	NOUN
easat-9474	37	18	,	,	PUNCT
easat-9474	37	19	showing	show	VERB
easat-9474	37	20	a	a	DET
easat-9474	37	21	perfect	perfect	ADJ
easat-9474	37	22	match	match	NOUN
easat-9474	37	23	.	.	PUNCT
easat-9474	38	1	this	this	DET
easat-9474	38	2	consistency	consistency	NOUN
easat-9474	38	3	also	also	ADV
easat-9474	38	4	confirms	confirm	VERB
easat-9474	38	5	the	the	DET
easat-9474	38	6	integrity	integrity	NOUN
easat-9474	38	7	of	of	ADP
easat-9474	38	8	the	the	DET
easat-9474	38	9	virasoro	virasoro	NOUN
easat-9474	38	10	superalgebra	superalgebra	NOUN
easat-9474	38	11	.	.	PUNCT
easat-9474	39	1	the	the	DET
easat-9474	39	2	purpose	purpose	NOUN
easat-9474	39	3	of	of	ADP
easat-9474	39	4	this	this	DET
easat-9474	39	5	paper	paper	NOUN
easat-9474	39	6	,	,	PUNCT
easat-9474	39	7	is	be	AUX
easat-9474	39	8	to	to	PART
easat-9474	39	9	study	study	VERB
easat-9474	39	10	the	the	DET
easat-9474	39	11	paraquantum	paraquantum	NOUN
easat-9474	39	12	extension	extension	NOUN
easat-9474	39	13	of	of	ADP
easat-9474	39	14	a	a	DET
easat-9474	39	15	free	free	ADJ
easat-9474	39	16	fermionic	fermionic	NOUN
easat-9474	39	17	string	string	NOUN
easat-9474	39	18	propagating	propagate	VERB
easat-9474	39	19	in	in	ADP
easat-9474	39	20	a	a	DET
easat-9474	39	21	noncommutative	noncommutative	ADJ
easat-9474	39	22	target	target	NOUN
easat-9474	39	23	phase	phase	NOUN
easat-9474	39	24	-	-	PUNCT
easat-9474	39	25	space	space	NOUN
easat-9474	39	26	[	[	X
easat-9474	39	27	11	11	NUM
easat-9474	39	28	]	]	PUNCT
easat-9474	39	29	we	we	PRON
easat-9474	39	30	will	will	AUX
easat-9474	39	31	define	define	VERB
easat-9474	39	32	the	the	DET
easat-9474	39	33	paraquantization	paraquantization	NOUN
easat-9474	39	34	generalization	generalization	NOUN
easat-9474	39	35	.	.	PUNCT
easat-9474	40	1	then	then	ADV
easat-9474	40	2	,	,	PUNCT
easat-9474	40	3	we	we	PRON
easat-9474	40	4	calculate	calculate	VERB
easat-9474	40	5	the	the	DET
easat-9474	40	6	virasoro	virasoro	NOUN
easat-9474	40	7	para	para	NOUN
easat-9474	40	8	-	-	PUNCT
easat-9474	40	9	super	super	NOUN
easat-9474	40	10	-	-	NOUN
easat-9474	40	11	algebra	algebra	NOUN
easat-9474	40	12	,	,	PUNCT
easat-9474	40	13	evaluate	evaluate	VERB
easat-9474	40	14	the	the	DET
easat-9474	40	15	mass	mass	NOUN
easat-9474	40	16	spectrum	spectrum	NOUN
easat-9474	40	17	and	and	CCONJ
easat-9474	40	18	examine	examine	VERB
easat-9474	40	19	the	the	DET
easat-9474	40	20	lorentz	lorentz	PROPN
easat-9474	40	21	invariance	invariance	NOUN
easat-9474	40	22	.	.	PUNCT
easat-9474	41	1	finally	finally	ADV
easat-9474	41	2	,	,	PUNCT
easat-9474	41	3	we	we	PRON
easat-9474	41	4	summarize	summarize	VERB
easat-9474	41	5	our	our	PRON
easat-9474	41	6	work	work	NOUN
easat-9474	41	7	and	and	CCONJ
easat-9474	41	8	conclude	conclude	VERB
easat-9474	41	9	.	.	PUNCT
easat-9474	42	1	2	2	X
easat-9474	42	2	.	.	X
easat-9474	42	3	open	open	ADJ
easat-9474	42	4	fermionic	fermionic	NOUN
easat-9474	42	5	strings	string	NOUN
easat-9474	42	6	we	we	PRON
easat-9474	42	7	begin	begin	VERB
easat-9474	42	8	by	by	ADP
easat-9474	42	9	considering	consider	VERB
easat-9474	42	10	the	the	DET
easat-9474	42	11	dynamics	dynamic	NOUN
easat-9474	42	12	of	of	ADP
easat-9474	42	13	free	free	ADJ
easat-9474	42	14	fermionic	fermionic	NOUN
easat-9474	42	15	strings	string	NOUN
easat-9474	42	16	propagating	propagate	VERB
easat-9474	42	17	within	within	ADP
easat-9474	42	18	a	a	DET
easat-9474	42	19	noncommutative	noncommutative	ADJ
easat-9474	42	20	target	target	NOUN
easat-9474	42	21	space	space	NOUN
easat-9474	42	22	[	[	X
easat-9474	42	23	7	7	NUM
easat-9474	42	24	,	,	PUNCT
easat-9474	42	25	8	8	NUM
easat-9474	42	26	,	,	PUNCT
easat-9474	42	27	11	11	NUM
easat-9474	42	28	-	-	SYM
easat-9474	42	29	15	15	NUM
easat-9474	42	30	]	]	PUNCT
easat-9474	42	31	.	.	PUNCT
easat-9474	43	1	the	the	DET
easat-9474	43	2	action	action	NOUN
easat-9474	43	3	governing	govern	VERB
easat-9474	43	4	these	these	DET
easat-9474	43	5	strings	string	NOUN
easat-9474	43	6	is	be	AUX
easat-9474	43	7	described	describe	VERB
easat-9474	43	8	by	by	ADP
easat-9474	43	9	:	:	PUNCT
easat-9474	43	10	(	(	PUNCT
easat-9474	43	11	)	)	PUNCT
easat-9474	43	12	(	(	PUNCT
easat-9474	43	13	)	)	PUNCT
easat-9474	43	14	(	(	PUNCT
easat-9474	43	15	)	)	PUNCT
easat-9474	43	16	(	(	PUNCT
easat-9474	43	17	)	)	PUNCT
easat-9474	43	18			PROPN
easat-9474	43	19			PROPN
easat-9474	43	20	1	1	NUM
easat-9474	43	21	,	,	PUNCT
easat-9474	43	22	,	,	PUNCT
easat-9474	43	23	,	,	PUNCT
easat-9474	43	24	,	,	PUNCT
easat-9474	43	25	2	2	NUM
easat-9474	43	26	s	s	NOUN
easat-9474	43	27	d	d	X
easat-9474	43	28	d	d	X
easat-9474	43	29	x	x	SYM
easat-9474	43	30	x	x	SYM
easat-9474	43	31	i	i	NUM
easat-9474	43	32			NOUN
easat-9474	43	33			NOUN
easat-9474	43	34			NOUN
easat-9474	43	35			X
easat-9474	43	36			NOUN
easat-9474	43	37			NOUN
easat-9474	43	38			X
easat-9474	43	39			NOUN
easat-9474	43	40			NOUN
easat-9474	43	41			NOUN
easat-9474	43	42			NOUN
easat-9474	43	43			NOUN
easat-9474	43	44			NOUN
easat-9474	43	45			PROPN
easat-9474	43	46			NOUN
easat-9474	43	47			ADP
easat-9474	43	48			PRON
easat-9474	43	49			PROPN
easat-9474	43	50			NOUN
easat-9474	43	51			NOUN
easat-9474	43	52	=	=	X
easat-9474	43	53	−	−	PROPN
easat-9474	43	54			ADJ
easat-9474	43	55			ADJ
easat-9474	43	56	−	−	PROPN
easat-9474	43	57			ADJ
easat-9474	43	58	(	(	PUNCT
easat-9474	43	59	1	1	NUM
easat-9474	43	60	)	)	PUNCT
easat-9474	43	61	where	where	SCONJ
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easat-9474	43	63	noncommutation	noncommutation	NOUN
easat-9474	43	64	relations	relation	NOUN
easat-9474	43	65	are	be	AUX
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easat-9474	43	67	by	by	ADP
easat-9474	43	68	:	:	PUNCT
easat-9474	43	69	(	(	PUNCT
easat-9474	43	70	)	)	PUNCT
easat-9474	43	71	(	(	PUNCT
easat-9474	43	72	)	)	PUNCT
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easat-9474	43	74	)	)	PUNCT
easat-9474	43	75	(	(	PUNCT
easat-9474	43	76	)	)	PUNCT
easat-9474	43	77	(	(	PUNCT
easat-9474	43	78	)	)	PUNCT
easat-9474	43	79	(	(	PUNCT
easat-9474	43	80	)	)	PUNCT
easat-9474	43	81	(	(	PUNCT
easat-9474	43	82	)	)	PUNCT
easat-9474	43	83	(	(	PUNCT
easat-9474	43	84	)	)	PUNCT
easat-9474	43	85	(	(	PUNCT
easat-9474	43	86	)	)	PUNCT
easat-9474	43	87	(	(	PUNCT
easat-9474	43	88	)	)	PUNCT
easat-9474	43	89	(	(	PUNCT
easat-9474	43	90	)	)	PUNCT
easat-9474	43	91			PROPN
easat-9474	43	92			PROPN
easat-9474	43	93	(	(	PUNCT
easat-9474	43	94	)	)	PUNCT
easat-9474	43	95	,	,	PUNCT
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easat-9474	43	98	,	,	PUNCT
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easat-9474	43	106	,	,	PUNCT
easat-9474	43	107	x	x	X
easat-9474	43	108	p	p	X
easat-9474	44	1	i	i	NOUN
easat-9474	44	2	x	x	X
easat-9474	44	3	x	x	VERB
easat-9474	45	1	i	i	PRON
easat-9474	45	2	p	p	X
easat-9474	45	3	p	p	X
easat-9474	45	4	i	i	PRON
easat-9474	45	5			NOUN
easat-9474	45	6			ADJ
easat-9474	45	7			CCONJ
easat-9474	45	8			NOUN
easat-9474	45	9			NOUN
easat-9474	45	10			CCONJ
easat-9474	45	11			NOUN
easat-9474	45	12			NOUN
easat-9474	45	13			CCONJ
easat-9474	45	14			NOUN
easat-9474	45	15			NOUN
easat-9474	45	16			PUNCT
easat-9474	45	17			NOUN
easat-9474	45	18			NOUN
easat-9474	45	19			NOUN
easat-9474	45	20			X
easat-9474	45	21			NUM
easat-9474	45	22			NUM
easat-9474	45	23			ADJ
easat-9474	45	24			ADJ
easat-9474	45	25			NOUN
easat-9474	45	26			NOUN
easat-9474	45	27			NOUN
easat-9474	45	28			X
easat-9474	45	29			PROPN
easat-9474	46	1			NUM
easat-9474	46	2			ADJ
easat-9474	46	3			ADJ
easat-9474	46	4			NOUN
easat-9474	46	5			NOUN
easat-9474	46	6			NOUN
easat-9474	46	7			PROPN
easat-9474	46	8			NUM
easat-9474	46	9			NUM
easat-9474	46	10			X
easat-9474	46	11			X
easat-9474	46	12			NOUN
easat-9474	46	13			NOUN
easat-9474	46	14			PROPN
easat-9474	46	15			NOUN
easat-9474	46	16			NOUN
easat-9474	46	17			X
easat-9474	46	18			NUM
easat-9474	46	19			NUM
easat-9474	46	20			ADJ
easat-9474	46	21			ADJ
easat-9474	46	22			ADJ
easat-9474	46	23			NOUN
easat-9474	46	24			NOUN
easat-9474	46	25	=	=	SYM
easat-9474	46	26	−	−	PROPN
easat-9474	46	27			PROPN
easat-9474	46	28			ADP
easat-9474	46	29			NOUN
easat-9474	46	30			NOUN
easat-9474	46	31	=	=	SYM
easat-9474	46	32	−	−	PROPN
easat-9474	46	33			PROPN
easat-9474	46	34			ADP
easat-9474	46	35			NOUN
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easat-9474	46	38	−	−	PROPN
easat-9474	46	39			PROPN
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easat-9474	46	41	=	=	PROPN
easat-9474	46	42	−	−	PROPN
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easat-9474	46	45	(	(	PUNCT
easat-9474	46	46	)	)	PUNCT
easat-9474	46	47	(	(	PUNCT
easat-9474	46	48	)	)	PUNCT
easat-9474	46	49	1	1	NUM
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easat-9474	46	52	2	2	NUM
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easat-9474	46	54	x	x	NUM
easat-9474	46	55			NOUN
easat-9474	46	56			NOUN
easat-9474	46	57			NOUN
easat-9474	46	58			NOUN
easat-9474	46	59			PROPN
easat-9474	46	60			PROPN
easat-9474	46	61	=	=	PUNCT
easat-9474	46	62			PROPN
easat-9474	46	63			ADV
easat-9474	46	64	,	,	PUNCT
easat-9474	46	65			PROPN
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easat-9474	46	67	the	the	DET
easat-9474	46	68	noncommutativity	noncommutativity	NOUN
easat-9474	46	69	parameters	parameter	NOUN
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easat-9474	46	71	the	the	DET
easat-9474	46	72	space	space	NOUN
easat-9474	46	73	part	part	NOUN
easat-9474	46	74	and	and	CCONJ
easat-9474	46	75			VERB
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easat-9474	46	77	ones	one	NOUN
easat-9474	46	78	of	of	ADP
easat-9474	46	79	the	the	DET
easat-9474	46	80	momentum	momentum	NOUN
easat-9474	46	81	part	part	NOUN
easat-9474	46	82	of	of	ADP
easat-9474	46	83	the	the	DET
easat-9474	46	84	phase	phase	NOUN
easat-9474	46	85	-	-	PUNCT
easat-9474	46	86	space	space	NOUN
easat-9474	46	87	.	.	PUNCT
easat-9474	47	1	one	one	PRON
easat-9474	47	2	can	can	AUX
easat-9474	47	3	write	write	VERB
easat-9474	47	4	the	the	DET
easat-9474	47	5	fourier	fourier	NOUN
easat-9474	47	6	expansions	expansion	NOUN
easat-9474	47	7	for	for	ADP
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easat-9474	47	9	variables	variable	NOUN
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easat-9474	47	11	)	)	PUNCT
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easat-9474	47	14	)	)	PUNCT
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easat-9474	47	16			VERB
easat-9474	47	17			PROPN
easat-9474	47	18			PROPN
easat-9474	47	19			NUM
easat-9474	47	20			X
easat-9474	47	21	−	−	NOUN
easat-9474	47	22			ADV
easat-9474	48	1	−	−	PROPN
easat-9474	49	1			CCONJ
easat-9474	50	1	[	[	X
easat-9474	50	2	7	7	X
easat-9474	50	3	]	]	PUNCT
easat-9474	50	4	and	and	CCONJ
easat-9474	50	5	(	(	PUNCT
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easat-9474	50	7	)	)	PUNCT
easat-9474	50	8	,	,	PUNCT
easat-9474	50	9	(	(	PUNCT
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easat-9474	50	11	)	)	PUNCT
easat-9474	50	12	x	x	SYM
easat-9474	51	1			NOUN
easat-9474	51	2			NOUN
easat-9474	51	3			PROPN
easat-9474	51	4			NOUN
easat-9474	51	5			NOUN
easat-9474	51	6			PROPN
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easat-9474	52	2	16	16	NUM
easat-9474	52	3	-	-	SYM
easat-9474	52	4	21	21	NUM
easat-9474	52	5	]	]	PUNCT
easat-9474	52	6	:	:	PUNCT
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easat-9474	52	10	)	)	PUNCT
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easat-9474	52	20			X
easat-9474	53	1	+	+	NOUN
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easat-9474	53	25			NUM
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easat-9474	54	42			PROPN
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easat-9474	54	45			CCONJ
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easat-9474	55	57			PROPN
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easat-9474	55	59			NOUN
easat-9474	55	60			PROPN
easat-9474	55	61	−	−	ADP
easat-9474	55	62	−	−	PROPN
easat-9474	55	63			NOUN
easat-9474	55	64	+	+	CCONJ
easat-9474	55	65	−	−	PROPN
easat-9474	55	66	−	−	PROPN
easat-9474	55	67			NOUN
easat-9474	55	68	−	−	PROPN
easat-9474	55	69	=	=	SYM
easat-9474	55	70	−	−	PROPN
easat-9474	55	71	=	=	SYM
easat-9474	55	72			X
easat-9474	55	73			X
easat-9474	55	74	915	915	NUM
easat-9474	55	75	edelweiss	edelweiss	PROPN
easat-9474	55	76	applied	apply	VERB
easat-9474	55	77	science	science	NOUN
easat-9474	55	78	and	and	CCONJ
easat-9474	55	79	technology	technology	NOUN
easat-9474	55	80	issn	issn	PROPN
easat-9474	55	81	:	:	PUNCT
easat-9474	55	82	2576	2576	NUM
easat-9474	55	83	-	-	SYM
easat-9474	55	84	8484	8484	NUM
easat-9474	55	85	vol	vol	NOUN
easat-9474	55	86	.	.	PROPN
easat-9474	56	1	9	9	NUM
easat-9474	56	2	,	,	PUNCT
easat-9474	56	3	no	no	INTJ
easat-9474	56	4	.	.	NOUN
easat-9474	56	5	8	8	NUM
easat-9474	56	6	:	:	PUNCT
easat-9474	56	7	913	913	NUM
easat-9474	56	8	-	-	SYM
easat-9474	56	9	930	930	NUM
easat-9474	56	10	,	,	PUNCT
easat-9474	56	11	2025	2025	NUM
easat-9474	56	12	doi	doi	NOUN
easat-9474	56	13	:	:	PUNCT
easat-9474	56	14	10.55214/2576	10.55214/2576	NUM
easat-9474	56	15	-	-	PUNCT
easat-9474	56	16	8484.v9i8.9474	8484.v9i8.9474	NOUN
easat-9474	57	1	©	©	PROPN
easat-9474	57	2	2025	2025	NUM
easat-9474	57	3	by	by	ADP
easat-9474	57	4	the	the	DET
easat-9474	57	5	authors	author	NOUN
easat-9474	57	6	;	;	PUNCT
easat-9474	57	7	licensee	licensee	PROPN
easat-9474	57	8	learning	learning	NOUN
easat-9474	57	9	gate	gate	NOUN
easat-9474	57	10	using	use	VERB
easat-9474	57	11	(	(	PUNCT
easat-9474	57	12	3	3	NUM
easat-9474	57	13	)	)	PUNCT
easat-9474	57	14	,	,	PUNCT
easat-9474	57	15	(	(	PUNCT
easat-9474	57	16	4	4	NUM
easat-9474	57	17	)	)	PUNCT
easat-9474	57	18	,	,	PUNCT
easat-9474	57	19	(	(	PUNCT
easat-9474	57	20	5	5	NUM
easat-9474	57	21	)	)	PUNCT
easat-9474	57	22	and	and	CCONJ
easat-9474	57	23	(	(	PUNCT
easat-9474	57	24	6	6	NUM
easat-9474	57	25	)	)	PUNCT
easat-9474	57	26	,	,	PUNCT
easat-9474	57	27	we	we	PRON
easat-9474	57	28	can	can	AUX
easat-9474	57	29	verify	verify	VERB
easat-9474	57	30	that	that	SCONJ
easat-9474	57	31	the	the	DET
easat-9474	57	32	equations	equation	NOUN
easat-9474	57	33	(	(	PUNCT
easat-9474	57	34	2	2	X
easat-9474	57	35	)	)	PUNCT
easat-9474	57	36	are	be	AUX
easat-9474	57	37	equivalent	equivalent	ADJ
easat-9474	57	38	to	to	ADP
easat-9474	57	39	the	the	DET
easat-9474	57	40	following	follow	VERB
easat-9474	57	41	modified	modify	VERB
easat-9474	57	42	commutation	commutation	NOUN
easat-9474	57	43	relations	relation	NOUN
easat-9474	57	44	of	of	ADP
easat-9474	57	45	the	the	DET
easat-9474	57	46	oscillator	oscillator	NOUN
easat-9474	57	47	algebra	algebra	NOUN
easat-9474	57	48	[	[	X
easat-9474	57	49	7	7	NUM
easat-9474	57	50	]	]	NUM
easat-9474	57	51	:	:	PUNCT
easat-9474	57	52	(	(	PUNCT
easat-9474	57	53	7	7	X
easat-9474	57	54	)	)	SYM
easat-9474	57	55	2	2	NUM
easat-9474	57	56	2	2	NUM
easat-9474	57	57	,	,	PUNCT
easat-9474	57	58	0	0	NUM
easat-9474	57	59	(	(	PUNCT
easat-9474	57	60	2	2	NUM
easat-9474	57	61	)	)	PUNCT
easat-9474	57	62	,	,	PUNCT
easat-9474	57	63	2	2	NUM
easat-9474	57	64	2	2	NUM
easat-9474	57	65	m	m	NOUN
easat-9474	57	66	n	n	ADP
easat-9474	57	67	n	n	CCONJ
easat-9474	57	68	n	n	CCONJ
easat-9474	57	69	n	n	ADV
easat-9474	57	70	m	m	VERB
easat-9474	57	71	n	n	ADV
easat-9474	57	72	m	m	VERB
easat-9474	58	1	i	i	NOUN
easat-9474	58	2	i	i	NUM
easat-9474	58	3			ADJ
easat-9474	58	4			NUM
easat-9474	58	5			PRON
easat-9474	58	6			NOUN
easat-9474	58	7			X
easat-9474	58	8			X
easat-9474	58	9			NUM
easat-9474	58	10			NUM
easat-9474	58	11			PROPN
easat-9474	58	12			NUM
easat-9474	58	13			NOUN
easat-9474	58	14			PRON
easat-9474	58	15	+	+	NOUN
easat-9474	58	16			PROPN
easat-9474	58	17			VERB
easat-9474	58	18			NOUN
easat-9474	58	19			NOUN
easat-9474	58	20	=	=	PUNCT
easat-9474	59	1	+	+	CCONJ
easat-9474	59	2	+	+	ADJ
easat-9474	59	3			PROPN
easat-9474	59	4			PROPN
easat-9474	59	5			PROPN
easat-9474	59	6			PROPN
easat-9474	59	7			PROPN
easat-9474	59	8			NOUN
easat-9474	59	9			PROPN
easat-9474	59	10			PROPN
easat-9474	59	11			PROPN
easat-9474	59	12			PROPN
easat-9474	59	13	,	,	PUNCT
easat-9474	59	14	0	0	NUM
easat-9474	59	15	,	,	PUNCT
easat-9474	59	16	0	0	NUM
easat-9474	59	17	,	,	PUNCT
easat-9474	59	18	,	,	PUNCT
easat-9474	59	19	m	m	VERB
easat-9474	59	20	n	n	VERB
easat-9474	59	21	m	m	VERB
easat-9474	59	22	n	n	ADV
easat-9474	59	23	r	r	NOUN
easat-9474	59	24	s	s	NOUN
easat-9474	59	25	r	r	NOUN
easat-9474	59	26	s	s	PROPN
easat-9474	59	27	d	d	X
easat-9474	59	28	d	d	PROPN
easat-9474	59	29	b	b	PROPN
easat-9474	59	30	b	b	PROPN
easat-9474	59	31			NOUN
easat-9474	59	32			NOUN
easat-9474	59	33			NUM
easat-9474	59	34			NOUN
easat-9474	59	35			NOUN
easat-9474	59	36			PRON
easat-9474	59	37			NUM
easat-9474	60	1			NUM
easat-9474	60	2			NUM
easat-9474	60	3			NUM
easat-9474	60	4	+	+	X
easat-9474	60	5	+	+	NOUN
easat-9474	60	6			NOUN
easat-9474	60	7	=	=	NOUN
easat-9474	60	8			NOUN
easat-9474	60	9			NUM
easat-9474	60	10	=	=	NOUN
easat-9474	60	11			NOUN
easat-9474	60	12	these	these	DET
easat-9474	60	13	modifications	modification	NOUN
easat-9474	60	14	will	will	AUX
easat-9474	60	15	impact	impact	VERB
easat-9474	60	16	the	the	DET
easat-9474	60	17	virasoro	virasoro	NOUN
easat-9474	60	18	super	super	NOUN
easat-9474	60	19	-	-	NOUN
easat-9474	60	20	algebra	algebra	NOUN
easat-9474	60	21	for	for	ADP
easat-9474	60	22	both	both	CCONJ
easat-9474	60	23	the	the	DET
easat-9474	60	24	ramond	ramond	NOUN
easat-9474	60	25	and	and	CCONJ
easat-9474	60	26	neveu	neveu	PROPN
easat-9474	60	27	schwarz	schwarz	PROPN
easat-9474	60	28	sectors	sectors	PROPN
easat-9474	60	29	,	,	PUNCT
easat-9474	60	30	introducing	introduce	VERB
easat-9474	60	31	new	new	ADJ
easat-9474	60	32	anomalies	anomaly	NOUN
easat-9474	60	33	terms	term	NOUN
easat-9474	60	34	3	3	NUM
easat-9474	60	35	.	.	PUNCT
easat-9474	60	36	modified	modify	VERB
easat-9474	60	37	virasoro	virasoro	PROPN
easat-9474	60	38	super	super	NOUN
easat-9474	60	39	-	-	NOUN
easat-9474	60	40	algebra	algebra	ADJ
easat-9474	60	41	the	the	DET
easat-9474	60	42	virasoro	virasoro	NOUN
easat-9474	60	43	generators	generator	NOUN
easat-9474	60	44	in	in	ADP
easat-9474	60	45	a	a	DET
easat-9474	60	46	quantized	quantize	VERB
easat-9474	60	47	system	system	NOUN
easat-9474	60	48	are	be	AUX
easat-9474	60	49	given	give	VERB
easat-9474	60	50	by	by	ADP
easat-9474	60	51	:	:	PUNCT
easat-9474	60	52	for	for	ADP
easat-9474	60	53	ramond	ramond	ADJ
easat-9474	60	54	sector	sector	NOUN
easat-9474	60	55	:	:	PUNCT
easat-9474	60	56	(	(	PUNCT
easat-9474	60	57	10	10	NUM
easat-9474	60	58	)	)	PUNCT
easat-9474	60	59	(	(	PUNCT
easat-9474	60	60	11	11	NUM
easat-9474	60	61	)	)	PUNCT
easat-9474	60	62	(	(	PUNCT
easat-9474	60	63	12	12	NUM
easat-9474	60	64	)	)	PUNCT
easat-9474	60	65	(	(	PUNCT
easat-9474	60	66	13	13	NUM
easat-9474	60	67	)	)	PUNCT
easat-9474	60	68	which	which	PRON
easat-9474	60	69	represent	represent	VERB
easat-9474	60	70	the	the	DET
easat-9474	60	71	bosonic	bosonic	NOUN
easat-9474	60	72	sector	sector	NOUN
easat-9474	60	73	.	.	PUNCT
easat-9474	61	1	given	give	VERB
easat-9474	61	2	the	the	DET
easat-9474	61	3	modifications	modification	NOUN
easat-9474	61	4	to	to	ADP
easat-9474	61	5	the	the	DET
easat-9474	61	6	oscillator	oscillator	NOUN
easat-9474	61	7	algebra	algebra	NOUN
easat-9474	61	8	in	in	ADP
easat-9474	61	9	(	(	PUNCT
easat-9474	61	10	8)	8)	NUM
easat-9474	61	11	,	,	PUNCT
easat-9474	61	12	one	one	PRON
easat-9474	61	13	can	can	AUX
easat-9474	61	14	derive	derive	VERB
easat-9474	61	15	the	the	DET
easat-9474	61	16	modified	modify	VERB
easat-9474	61	17	virasoro	virasoro	NOUN
easat-9474	61	18	superalgebras	superalgebra	NOUN
easat-9474	61	19	for	for	ADP
easat-9474	61	20	both	both	DET
easat-9474	61	21	sectors	sector	NOUN
easat-9474	61	22	[	[	X
easat-9474	61	23	11	11	NUM
easat-9474	61	24	]	]	PUNCT
easat-9474	61	25	.	.	PUNCT
easat-9474	62	1	which	which	PRON
easat-9474	62	2	represent	represent	VERB
easat-9474	62	3	the	the	DET
easat-9474	62	4	fermionic	fermionic	NOUN
easat-9474	62	5	sector	sector	NOUN
easat-9474	62	6	.	.	PUNCT
easat-9474	63	1	for	for	ADP
easat-9474	63	2	neuveu	neuveu	ADJ
easat-9474	63	3	-	-	PUNCT
easat-9474	63	4	schwarz	schwarz	NOUN
easat-9474	63	5	sector	sector	NOUN
easat-9474	63	6	:	:	PUNCT
easat-9474	63	7	1	1	NUM
easat-9474	63	8	:	:	PUNCT
easat-9474	63	9	:	:	PUNCT
easat-9474	63	10	2	2	NUM
easat-9474	63	11	1	1	NUM
easat-9474	63	12	1	1	NUM
easat-9474	63	13	:	:	PUNCT
easat-9474	63	14	:	:	PUNCT
easat-9474	63	15	2	2	NUM
easat-9474	63	16	2	2	NUM
easat-9474	63	17	m	m	NOUN
easat-9474	63	18	n	n	ADP
easat-9474	63	19	m	m	PROPN
easat-9474	63	20	n	n	ADJ
easat-9474	63	21	n	n	NUM
easat-9474	63	22	zd	zd	PROPN
easat-9474	63	23	m	m	VERB
easat-9474	63	24	m	m	VERB
easat-9474	63	25	m	m	PROPN
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easat-9474	63	28	n	n	ADV
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easat-9474	63	31	n	n	PRON
easat-9474	63	32	z	z	NOUN
easat-9474	63	33	l	l	NOUN
easat-9474	63	34	l	l	NOUN
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easat-9474	63	37	l	l	NOUN
easat-9474	64	1	n	n	NOUN
easat-9474	64	2	m	m	NOUN
easat-9474	64	3	d	d	NOUN
easat-9474	64	4	d	d	NOUN
easat-9474	64	5			X
easat-9474	64	6			X
easat-9474	64	7			PRON
easat-9474	64	8	−	−	PRON
easat-9474	64	9	+	+	CCONJ
easat-9474	64	10			NOUN
easat-9474	64	11	−	−	PROPN
easat-9474	64	12	+	+	CCONJ
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easat-9474	64	16			NUM
easat-9474	64	17			NUM
easat-9474	64	18	=	=	SYM
easat-9474	64	19	+	+	NUM
easat-9474	64	20	=	=	SYM
easat-9474	64	21			NUM
easat-9474	64	22			NOUN
easat-9474	64	23			NOUN
easat-9474	64	24	=	=	PUNCT
easat-9474	65	1	+	+	ADJ
easat-9474	65	2			ADJ
easat-9474	65	3			SYM
easat-9474	65	4			PROPN
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easat-9474	65	6			X
easat-9474	65	7			X
easat-9474	65	8	m	m	VERB
easat-9474	65	9	n	n	PRON
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easat-9474	65	15	d−	d−	NOUN
easat-9474	65	16	+	+	CCONJ
easat-9474	65	17			NOUN
easat-9474	65	18	=	=	PRON
easat-9474	65	19			X
easat-9474	65	20	1	1	NUM
easat-9474	65	21	2	2	NUM
easat-9474	65	22	1	1	NUM
easat-9474	65	23	:	:	PUNCT
easat-9474	65	24	:	:	PUNCT
easat-9474	65	25	2	2	NUM
easat-9474	65	26	1	1	NUM
easat-9474	65	27	1	1	NUM
easat-9474	65	28	:	:	PUNCT
easat-9474	65	29	:	:	PUNCT
easat-9474	65	30	2	2	NUM
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easat-9474	66	13			PRON
easat-9474	66	14	−	−	PRON
easat-9474	66	15	+	+	CCONJ
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easat-9474	67	1	+	+	CCONJ
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easat-9474	67	4			ADP
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easat-9474	67	9	+	+	NUM
easat-9474	67	10	=	=	SYM
easat-9474	67	11			NUM
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easat-9474	67	13			NOUN
easat-9474	67	14	=	=	PUNCT
easat-9474	68	1	+	+	PROPN
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easat-9474	68	3			PROPN
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easat-9474	93	57			PRON
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easat-9474	96	14	:	:	PUNCT
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easat-9474	100	20	)	)	PUNCT
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easat-9474	100	23	2	2	NUM
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easat-9474	100	25	2	2	NUM
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easat-9474	101	19			SYM
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easat-9474	120	22			NOUN
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easat-9474	120	26			NOUN
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easat-9474	120	36			X
easat-9474	120	37			X
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easat-9474	126	18	→	→	SYM
easat-9474	126	19			PROPN
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easat-9474	126	21			X
easat-9474	126	22			X
easat-9474	126	23			X
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easat-9474	126	25	26	26	NUM
easat-9474	126	26	)	)	PUNCT
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easat-9474	126	28	(	(	PUNCT
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easat-9474	126	30	)	)	PUNCT
easat-9474	126	31	(	(	PUNCT
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easat-9474	126	33	(	(	PUNCT
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easat-9474	126	35	)	)	PUNCT
easat-9474	126	36	,	,	PUNCT
easat-9474	126	37	a	a	DET
easat-9474	126	38	direct	direct	ADJ
easat-9474	126	39	calculation	calculation	NOUN
easat-9474	126	40	leads	lead	VERB
easat-9474	126	41	to	to	ADP
easat-9474	126	42	the	the	DET
easat-9474	126	43	following	follow	VERB
easat-9474	126	44	modified	modify	VERB
easat-9474	126	45	lorentz	lorentz	PROPN
easat-9474	126	46	algebra	algebra	PROPN
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easat-9474	126	48	11	11	NUM
easat-9474	126	49	]	]	NUM
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easat-9474	126	53	)	)	PUNCT
easat-9474	126	54	[	[	PUNCT
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easat-9474	126	58	m	m	VERB
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easat-9474	128	2	p	p	NOUN
easat-9474	128	3	k	k	PROPN
easat-9474	128	4			ADJ
easat-9474	128	5			NOUN
easat-9474	128	6			NOUN
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easat-9474	128	10	=	=	PUNCT
easat-9474	128	11	−	−	PROPN
easat-9474	129	1	+	+	CCONJ
easat-9474	129	2	(	(	PUNCT
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easat-9474	129	4	)	)	PUNCT
easat-9474	129	5	2	2	NUM
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easat-9474	130	1	p	p	X
easat-9474	130	2	i	i	NUM
easat-9474	130	3			ADJ
easat-9474	130	4			PROPN
easat-9474	130	5			X
easat-9474	130	6			PRON
easat-9474	130	7	=	=	NOUN
easat-9474	130	8			PROPN
easat-9474	130	9			PROPN
easat-9474	130	10	(	(	PUNCT
easat-9474	130	11	29	29	NUM
easat-9474	130	12	)	)	PUNCT
easat-9474	130	13	where	where	SCONJ
easat-9474	130	14	tµνρλ	tµνρλ	PROPN
easat-9474	130	15	,	,	PUNCT
easat-9474	130	16	kνµρ	kνµρ	PROPN
easat-9474	130	17	represent	represent	VERB
easat-9474	130	18	the	the	DET
easat-9474	130	19	anomalies	anomaly	NOUN
easat-9474	130	20	due	due	ADP
easat-9474	130	21	to	to	ADP
easat-9474	130	22	the	the	DET
easat-9474	130	23	noncommutativity	noncommutativity	NOUN
easat-9474	130	24	and	and	CCONJ
easat-9474	130	25	which	which	PRON
easat-9474	130	26	are	be	AUX
easat-9474	130	27	given	give	VERB
easat-9474	130	28	by	by	ADP
easat-9474	130	29	:	:	PUNCT
easat-9474	130	30	(	(	PUNCT
easat-9474	130	31	)	)	PUNCT
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easat-9474	150	44	2	2	NUM
easat-9474	150	45	(	(	PUNCT
easat-9474	150	46	2	2	NUM
easat-9474	150	47	)	)	PUNCT
easat-9474	150	48	2	2	NUM
easat-9474	150	49	2	2	NUM
easat-9474	150	50	(	(	PUNCT
easat-9474	150	51	2	2	NUM
easat-9474	150	52	)	)	SYM
easat-9474	150	53	2	2	NUM
easat-9474	150	54	n	n	CCONJ
easat-9474	150	55	n	n	CCONJ
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easat-9474	163	2	i	i	PRON
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easat-9474	163	5			ADJ
easat-9474	163	6			NOUN
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easat-9474	163	21			ADJ
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easat-9474	163	25			ADP
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easat-9474	164	4			NUM
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easat-9474	164	6			NUM
easat-9474	164	7			X
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easat-9474	164	10			X
easat-9474	164	11			X
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easat-9474	164	13			NUM
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easat-9474	164	22			NUM
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easat-9474	165	1			CCONJ
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easat-9474	174	7	)	)	PUNCT
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easat-9474	176	32	a	a	DET
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easat-9474	177	4	be	be	AUX
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easat-9474	178	39	)	)	PUNCT
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easat-9474	178	100	and	and	CCONJ
easat-9474	178	101	q	q	PROPN
easat-9474	178	102	represent	represent	VERB
easat-9474	178	103	the	the	DET
easat-9474	178	104	paraquantization	paraquantization	NOUN
easat-9474	178	105	order	order	NOUN
easat-9474	178	106	(	(	PUNCT
easat-9474	178	107	taking	take	VERB
easat-9474	178	108	q	q	NOUN
easat-9474	178	109	=	=	SYM
easat-9474	178	110	1	1	NUM
easat-9474	178	111	we	we	PRON
easat-9474	178	112	find	find	VERB
easat-9474	178	113	results	result	NOUN
easat-9474	178	114	of	of	ADP
easat-9474	178	115	the	the	DET
easat-9474	178	116	ordinary	ordinary	ADJ
easat-9474	178	117	case	case	NOUN
easat-9474	178	118	)	)	PUNCT
easat-9474	178	119	.	.	PUNCT
easat-9474	179	1	so	so	ADV
easat-9474	179	2	,	,	PUNCT
easat-9474	179	3	the	the	DET
easat-9474	179	4	generalization	generalization	NOUN
easat-9474	179	5	of	of	ADP
easat-9474	179	6	canonical	canonical	ADJ
easat-9474	179	7	variables	variable	NOUN
easat-9474	179	8	for	for	ADP
easat-9474	179	9	the	the	DET
easat-9474	179	10	parabosonic	parabosonic	ADJ
easat-9474	179	11	and	and	CCONJ
easat-9474	179	12	parafermionic	parafermionic	ADJ
easat-9474	179	13	coordinates	coordinate	NOUN
easat-9474	179	14	are	be	AUX
easat-9474	179	15	given	give	VERB
easat-9474	179	16	by	by	ADP
easat-9474	179	17	:	:	PUNCT
easat-9474	179	18	the	the	DET
easat-9474	179	19	equations	equation	NOUN
easat-9474	179	20	(	(	PUNCT
easat-9474	179	21	33	33	NUM
easat-9474	179	22	)	)	PUNCT
easat-9474	179	23	are	be	AUX
easat-9474	179	24	equivalent	equivalent	ADJ
easat-9474	179	25	to	to	ADP
easat-9474	179	26	the	the	DET
easat-9474	179	27	following	follow	VERB
easat-9474	179	28	tri	tri	ADJ
easat-9474	179	29	-	-	ADJ
easat-9474	179	30	linear	linear	ADJ
easat-9474	179	31	commutation	commutation	NOUN
easat-9474	179	32	relations	relation	NOUN
easat-9474	179	33	:	:	PUNCT
easat-9474	179	34	2	2	NUM
easat-9474	179	35	2	2	NUM
easat-9474	179	36	0	0	NUM
easat-9474	179	37	0	0	NUM
easat-9474	179	38	2	2	NUM
easat-9474	179	39	2	2	NUM
easat-9474	179	40	0	0	NUM
easat-9474	179	41	0	0	NUM
easat-9474	179	42	2	2	NUM
easat-9474	179	43	2	2	NUM
easat-9474	179	44	         	         	SPACE
easat-9474	179	45	k	k	NOUN
easat-9474	180	1	i	i	PRON
easat-9474	180	2	p	p	X
easat-9474	181	1	i	i	PRON
easat-9474	181	2	p	p	X
easat-9474	182	1	i	i	PRON
easat-9474	182	2	p	p	X
easat-9474	183	1	i	i	PRON
easat-9474	183	2	p	p	PROPN
easat-9474	183	3			VERB
easat-9474	183	4			PROPN
easat-9474	183	5			ADP
easat-9474	183	6			PROPN
easat-9474	183	7			PROPN
easat-9474	183	8			PROPN
easat-9474	183	9			INTJ
easat-9474	183	10			PROPN
easat-9474	183	11			ADP
easat-9474	183	12			NUM
easat-9474	183	13			NOUN
easat-9474	183	14			NOUN
easat-9474	183	15			NOUN
easat-9474	183	16			NOUN
easat-9474	183	17			PUNCT
easat-9474	183	18			PROPN
easat-9474	183	19			NUM
easat-9474	183	20			PROPN
easat-9474	183	21			NUM
easat-9474	183	22			ADJ
easat-9474	183	23	=	=	INTJ
easat-9474	183	24	−	−	PROPN
easat-9474	184	1	+	+	CCONJ
easat-9474	184	2	−	−	PROPN
easat-9474	184	3	(	(	PUNCT
easat-9474	184	4	31	31	NUM
easat-9474	184	5	)	)	PUNCT
easat-9474	184	6	(	(	PUNCT
easat-9474	184	7	33	33	NUM
easat-9474	184	8	)	)	PUNCT
easat-9474	184	9	(	(	PUNCT
easat-9474	184	10	)	)	PUNCT
easat-9474	184	11	(	(	PUNCT
easat-9474	184	12	)	)	PUNCT
easat-9474	184	13	(	(	PUNCT
easat-9474	184	14	)	)	PUNCT
easat-9474	184	15	(	(	PUNCT
easat-9474	184	16	)	)	PUNCT
easat-9474	184	17	(	(	PUNCT
easat-9474	184	18	)	)	PUNCT
easat-9474	184	19	(	(	PUNCT
easat-9474	184	20	)	)	PUNCT
easat-9474	184	21	(	(	PUNCT
easat-9474	184	22	)	)	PUNCT
easat-9474	184	23	(	(	PUNCT
easat-9474	184	24	)	)	PUNCT
easat-9474	184	25	(	(	PUNCT
easat-9474	184	26	)	)	PUNCT
easat-9474	184	27	(	(	PUNCT
easat-9474	184	28	)	)	PUNCT
easat-9474	184	29	(	(	PUNCT
easat-9474	184	30	)	)	PUNCT
easat-9474	184	31	(	(	PUNCT
easat-9474	184	32	)	)	PUNCT
easat-9474	184	33	(	(	PUNCT
easat-9474	184	34	)	)	PUNCT
easat-9474	184	35	(	(	PUNCT
easat-9474	184	36	)	)	PUNCT
easat-9474	184	37	(	(	PUNCT
easat-9474	184	38	)	)	PUNCT
easat-9474	184	39	(	(	PUNCT
easat-9474	184	40	)	)	PUNCT
easat-9474	184	41	(	(	PUNCT
easat-9474	184	42	)	)	PUNCT
easat-9474	184	43	(	(	PUNCT
easat-9474	184	44	)	)	PUNCT
easat-9474	184	45	(	(	PUNCT
easat-9474	184	46	)	)	PUNCT
easat-9474	184	47	(	(	PUNCT
easat-9474	184	48	)	)	PUNCT
easat-9474	184	49	(	(	PUNCT
easat-9474	184	50	)	)	PUNCT
easat-9474	184	51	(	(	PUNCT
easat-9474	184	52	)	)	PUNCT
easat-9474	184	53	(	(	PUNCT
easat-9474	184	54	)	)	PUNCT
easat-9474	184	55	(	(	PUNCT
easat-9474	184	56	)	)	PUNCT
easat-9474	184	57	(	(	PUNCT
easat-9474	184	58	)	)	PUNCT
easat-9474	184	59	(	(	PUNCT
easat-9474	184	60	)	)	PUNCT
easat-9474	184	61	(	(	PUNCT
easat-9474	184	62	)	)	PUNCT
easat-9474	184	63	[	[	PUNCT
easat-9474	184	64	(	(	PUNCT
easat-9474	184	65	,	,	PUNCT
easat-9474	184	66	)	)	PUNCT
easat-9474	184	67	,	,	PUNCT
easat-9474	184	68	(	(	PUNCT
easat-9474	184	69	,	,	PUNCT
easat-9474	184	70	)	)	PUNCT
easat-9474	184	71	]	]	PUNCT
easat-9474	184	72	(	(	PUNCT
easat-9474	184	73	)	)	PUNCT
easat-9474	184	74	,	,	PUNCT
easat-9474	184	75	,	,	PUNCT
easat-9474	184	76	,	,	PUNCT
easat-9474	184	77	0	0	NUM
easat-9474	184	78	;	;	PUNCT
easat-9474	184	79	     	     	SPACE
easat-9474	184	80	,	,	PUNCT
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easat-9474	184	82	,	,	PUNCT
easat-9474	184	83	,	,	PUNCT
easat-9474	184	84	,	,	PUNCT
easat-9474	184	85	,	,	PUNCT
easat-9474	184	86	0	0	NUM
easat-9474	184	87	;	;	PUNCT
easat-9474	184	88	     	     	SPACE
easat-9474	184	89	,	,	PUNCT
easat-9474	184	90	,	,	PUNCT
easat-9474	184	91	,	,	PUNCT
easat-9474	184	92	,	,	PUNCT
easat-9474	184	93	,	,	PUNCT
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easat-9474	184	95	0	0	NUM
easat-9474	184	96	;	;	PUNCT
easat-9474	184	97	     	     	SPACE
easat-9474	184	98	,	,	PUNCT
easat-9474	184	99	i	i	PRON
easat-9474	184	100	j	j	VERB
easat-9474	185	1	ij	ij	INTJ
easat-9474	186	1	i	i	INTJ
easat-9474	186	2	j	j	VERB
easat-9474	187	1	i	i	PRON
easat-9474	187	2	j	j	INTJ
easat-9474	188	1	ij	ij	INTJ
easat-9474	189	1	i	i	INTJ
easat-9474	189	2	j	j	PROPN
easat-9474	190	1	i	i	PRON
easat-9474	190	2	j	j	PROPN
easat-9474	191	1	ij	ij	INTJ
easat-9474	191	2	a	a	DET
easat-9474	191	3	b	b	X
easat-9474	191	4	ab	ab	X
easat-9474	192	1	i	i	PRON
easat-9474	192	2	j	j	PROPN
easat-9474	193	1	a	a	DET
easat-9474	193	2	b	b	NOUN
easat-9474	193	3	x	x	SYM
easat-9474	193	4	x	x	PUNCT
easat-9474	193	5	i	i	NOUN
easat-9474	193	6	x	x	X
easat-9474	193	7	x	x	X
easat-9474	194	1	p	p	X
easat-9474	194	2	p	p	X
easat-9474	195	1	i	i	PRON
easat-9474	195	2	p	p	X
easat-9474	195	3	p	p	X
easat-9474	195	4	x	x	X
easat-9474	195	5	p	p	X
easat-9474	195	6	i	i	NOUN
easat-9474	195	7	x	x	NOUN
easat-9474	195	8			X
easat-9474	195	9			X
easat-9474	195	10			X
easat-9474	195	11			PROPN
easat-9474	195	12			NOUN
easat-9474	195	13			X
easat-9474	195	14			X
easat-9474	195	15			PROPN
easat-9474	195	16			NOUN
easat-9474	195	17			X
easat-9474	195	18			X
easat-9474	195	19			PROPN
easat-9474	195	20			NOUN
easat-9474	195	21			X
easat-9474	195	22			X
easat-9474	195	23			NOUN
easat-9474	195	24			NOUN
easat-9474	195	25			NOUN
easat-9474	195	26			X
easat-9474	195	27			X
easat-9474	195	28			X
easat-9474	195	29			X
easat-9474	195	30			NOUN
easat-9474	195	31			NOUN
easat-9474	195	32			NOUN
easat-9474	195	33			PROPN
easat-9474	195	34			NUM
easat-9474	195	35			PROPN
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easat-9474	195	38			NOUN
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easat-9474	195	40			NUM
easat-9474	195	41			X
easat-9474	195	42			X
easat-9474	195	43			NOUN
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easat-9474	195	51			PROPN
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easat-9474	195	55			NUM
easat-9474	195	56			NUM
easat-9474	195	57			NUM
easat-9474	195	58			ADJ
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easat-9474	195	65			PROPN
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easat-9474	195	67			PROPN
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easat-9474	199	4			VERB
easat-9474	199	5			PROPN
easat-9474	199	6			PROPN
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easat-9474	199	8	=	=	PROPN
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easat-9474	200	1			PROPN
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easat-9474	200	4			VERB
easat-9474	200	5			PROPN
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easat-9474	200	8	=	=	PROPN
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easat-9474	200	13			NOUN
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easat-9474	200	22	    	    	SPACE
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easat-9474	200	30			NOUN
easat-9474	200	31	=	=	PUNCT
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easat-9474	200	34			PROPN
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easat-9474	201	15	-	-	PUNCT
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easat-9474	202	11	)	)	PUNCT
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easat-9474	202	13	)	)	PUNCT
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easat-9474	202	15	)	)	PUNCT
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easat-9474	202	17	)	)	PUNCT
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easat-9474	202	19	)	)	PUNCT
easat-9474	202	20	(	(	PUNCT
easat-9474	202	21	)	)	PUNCT
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easat-9474	202	23	)	)	PUNCT
easat-9474	202	24			PROPN
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easat-9474	202	26	(	(	PUNCT
easat-9474	202	27	)	)	PUNCT
easat-9474	202	28	(	(	PUNCT
easat-9474	202	29	)	)	PUNCT
easat-9474	202	30	(	(	PUNCT
easat-9474	202	31	)	)	PUNCT
easat-9474	202	32	(	(	PUNCT
easat-9474	202	33	)	)	PUNCT
easat-9474	202	34	(	(	PUNCT
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easat-9474	294	18	)	)	PUNCT
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easat-9474	294	27	2	2	NUM
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easat-9474	294	36	2	2	NUM
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easat-9474	301	3	k	k	PROPN
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easat-9474	302	13			NUM
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easat-9474	302	19			NUM
easat-9474	302	20			PROPN
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easat-9474	303	3			NUM
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easat-9474	304	2			NUM
easat-9474	304	3			NUM
easat-9474	304	4			NUM
easat-9474	304	5			NUM
easat-9474	304	6			NUM
easat-9474	304	7			NUM
easat-9474	304	8			NUM
easat-9474	304	9	+	+	X
easat-9474	304	10	+	+	PUNCT
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easat-9474	305	4			ADP
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easat-9474	305	8	+	+	CCONJ
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easat-9474	307	8	=	=	PUNCT
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easat-9474	308	11	)	)	PUNCT
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easat-9474	308	33	)	)	PUNCT
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easat-9474	308	42	)	)	PUNCT
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easat-9474	308	46	)	)	PUNCT
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easat-9474	327	21	.	.	PUNCT
easat-9474	328	1	by	by	ADP
easat-9474	328	2	using	use	VERB
easat-9474	328	3	the	the	DET
easat-9474	328	4	trilinear	trilinear	ADJ
easat-9474	328	5	commutations	commutation	NOUN
easat-9474	328	6	relations	relation	NOUN
easat-9474	328	7	(	(	PUNCT
easat-9474	328	8	35	35	NUM
easat-9474	328	9	)	)	PUNCT
easat-9474	328	10	and	and	CCONJ
easat-9474	328	11	by	by	ADP
easat-9474	328	12	analogy	analogy	NOUN
easat-9474	328	13	with	with	ADP
easat-9474	328	14	calculation	calculation	NOUN
easat-9474	328	15	done	do	VERB
easat-9474	328	16	in	in	ADP
easat-9474	328	17	(	(	PUNCT
easat-9474	328	18	21	21	NUM
easat-9474	328	19	)	)	PUNCT
easat-9474	328	20	,	,	PUNCT
easat-9474	328	21	(	(	PUNCT
easat-9474	328	22	22	22	NUM
easat-9474	328	23	)	)	PUNCT
easat-9474	328	24	and	and	CCONJ
easat-9474	328	25	(	(	PUNCT
easat-9474	328	26	23	23	NUM
easat-9474	328	27	)	)	PUNCT
easat-9474	328	28	,	,	PUNCT
easat-9474	328	29	one	one	PRON
easat-9474	328	30	can	can	AUX
easat-9474	328	31	find	find	VERB
easat-9474	328	32	that	that	PRON
easat-9474	328	33	:	:	PUNCT
easat-9474	328	34	for	for	ADP
easat-9474	328	35	ramond	ramond	ADJ
easat-9474	328	36	sector	sector	NOUN
easat-9474	328	37	:	:	PUNCT
easat-9474	328	38			ADJ
easat-9474	328	39			PROPN
easat-9474	328	40	(	(	PUNCT
easat-9474	328	41	)	)	PUNCT
easat-9474	328	42			ADJ
easat-9474	328	43			ADP
easat-9474	328	44			PROPN
easat-9474	328	45			ADP
easat-9474	328	46	3	3	NUM
easat-9474	328	47	,	,	PUNCT
easat-9474	328	48	0	0	NUM
easat-9474	328	49	2	2	NUM
easat-9474	328	50	,	,	PUNCT
easat-9474	328	51	0	0	NUM
easat-9474	328	52	1	1	NUM
easat-9474	328	53	,	,	PUNCT
easat-9474	328	54	8	8	NUM
easat-9474	328	55	1	1	NUM
easat-9474	328	56	,	,	PUNCT
easat-9474	328	57	2	2	NUM
easat-9474	328	58	2	2	NUM
easat-9474	328	59	1	1	NUM
easat-9474	328	60	,	,	PUNCT
easat-9474	328	61	2	2	NUM
easat-9474	328	62	n	n	NOUN
easat-9474	328	63	m	m	VERB
easat-9474	328	64	n	n	ADV
easat-9474	328	65	m	m	VERB
easat-9474	328	66	n	n	ADV
easat-9474	328	67	m	m	VERB
easat-9474	328	68	nm	nm	ADJ
easat-9474	328	69	n	n	ADV
easat-9474	328	70	m	m	VERB
easat-9474	328	71	n	n	ADV
easat-9474	328	72	m	m	VERB
easat-9474	328	73	n	n	ADV
easat-9474	328	74	m	m	VERB
easat-9474	328	75	rs	rs	ADJ
easat-9474	328	76	n	n	ADV
easat-9474	328	77	m	m	VERB
easat-9474	328	78	n	n	PRON
easat-9474	328	79	m	m	NOUN
easat-9474	328	80	mn	mn	PROPN
easat-9474	328	81	d	d	PROPN
easat-9474	328	82	l	l	X
easat-9474	328	83	l	l	NOUN
easat-9474	328	84	n	n	X
easat-9474	328	85	m	m	PROPN
easat-9474	328	86	l	l	NOUN
easat-9474	328	87	q	q	PUNCT
easat-9474	328	88	n	n	NOUN
easat-9474	328	89	r	r	NOUN
easat-9474	328	90	d	d	NOUN
easat-9474	328	91	f	f	X
easat-9474	328	92	f	f	PROPN
easat-9474	328	93	l	l	NOUN
easat-9474	328	94	q	q	PROPN
easat-9474	329	1	n	n	PROPN
easat-9474	329	2	d	d	NOUN
easat-9474	329	3	l	l	NOUN
easat-9474	329	4	f	f	PROPN
easat-9474	330	1	n	n	INTJ
easat-9474	331	1	m	m	VERB
easat-9474	331	2	f	f	VERB
easat-9474	331	3	w	w	PROPN
easat-9474	331	4			NUM
easat-9474	331	5			NUM
easat-9474	331	6	+	+	X
easat-9474	331	7	+	+	PUNCT
easat-9474	331	8	+	+	PUNCT
easat-9474	331	9	+	+	ADJ
easat-9474	331	10	+	+	ADJ
easat-9474	331	11	+	+	NUM
easat-9474	331	12	−	−	NOUN
easat-9474	331	13	=	=	SYM
easat-9474	332	1	−	−	PROPN
easat-9474	333	1	+	+	CCONJ
easat-9474	334	1	+	+	NUM
easat-9474	334	2	−	−	PROPN
easat-9474	334	3	=	=	SYM
easat-9474	335	1	+	+	PUNCT
easat-9474	335	2	+	+	NUM
easat-9474	335	3			NOUN
easat-9474	335	4			NOUN
easat-9474	335	5	=	=	PUNCT
easat-9474	336	1	−	−	PROPN
easat-9474	337	1	+	+	ADV
easat-9474	337	2			PROPN
easat-9474	337	3			CCONJ
easat-9474	337	4			PROPN
easat-9474	337	5			NOUN
easat-9474	337	6	(	(	PUNCT
easat-9474	337	7	41	41	NUM
easat-9474	337	8	)	)	PUNCT
easat-9474	337	9	where	where	SCONJ
easat-9474	337	10	rnm	rnm	NOUN
easat-9474	337	11	,	,	PUNCT
easat-9474	337	12	dmn	dmn	NOUN
easat-9474	337	13	and	and	CCONJ
easat-9474	337	14	wmn	wmn	NOUN
easat-9474	337	15	are	be	AUX
easat-9474	337	16	given	give	VERB
easat-9474	337	17	by	by	ADP
easat-9474	337	18	:	:	PUNCT
easat-9474	337	19	(	(	PUNCT
easat-9474	337	20	)	)	PUNCT
easat-9474	337	21	(	(	PUNCT
easat-9474	337	22	)	)	PUNCT
easat-9474	337	23	(	(	PUNCT
easat-9474	337	24	)	)	PUNCT
easat-9474	337	25	(	(	PUNCT
easat-9474	337	26	)	)	PUNCT
easat-9474	337	27	2	2	NUM
easat-9474	337	28	221	221	NUM
easat-9474	337	29	2	2	NUM
easat-9474	337	30	[	[	PUNCT
easat-9474	337	31	,	,	PUNCT
easat-9474	337	32	]	]	SYM
easat-9474	337	33	2	2	NUM
easat-9474	337	34	2	2	NUM
easat-9474	337	35	ij	ij	NUM
easat-9474	337	36	ij	ij	INTJ
easat-9474	337	37	ij	ij	INTJ
easat-9474	337	38	ij	ij	INTJ
easat-9474	337	39	i	i	PRON
easat-9474	337	40	j	j	PROPN
easat-9474	338	1	mn	mn	PROPN
easat-9474	338	2	p	p	PROPN
easat-9474	338	3	n	n	INTJ
easat-9474	338	4	m	m	PROPN
easat-9474	338	5	p	p	NOUN
easat-9474	338	6	p	p	X
easat-9474	338	7	n	n	INTJ
easat-9474	338	8	m	m	PROPN
easat-9474	338	9	p	p	NOUN
easat-9474	338	10	p	p	X
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easat-9474	338	12	n	n	PRON
easat-9474	339	1	p	p	NOUN
easat-9474	340	1	p	p	X
easat-9474	341	1	i	i	PRON
easat-9474	341	2	r	r	VERB
easat-9474	342	1	i	i	PRON
easat-9474	342	2	p	p	NOUN
easat-9474	343	1	n	n	INTJ
easat-9474	343	2	m	m	VERB
easat-9474	343	3	p	p	NOUN
easat-9474	343	4			PROPN
easat-9474	343	5			NUM
easat-9474	343	6			NUM
easat-9474	343	7			X
easat-9474	343	8			X
easat-9474	343	9			X
easat-9474	343	10			X
easat-9474	343	11			PRON
easat-9474	343	12	+	+	NOUN
easat-9474	343	13			VERB
easat-9474	343	14	−	−	ADP
easat-9474	343	15	−	−	NOUN
easat-9474	343	16	−	−	PROPN
easat-9474	343	17	−	−	PROPN
easat-9474	344	1	+	+	CCONJ
easat-9474	344	2	−	−	PROPN
easat-9474	344	3	+	+	CCONJ
easat-9474	344	4	=	=	PUNCT
easat-9474	344	5	−	−	X
easat-9474	344	6			NOUN
easat-9474	344	7			NOUN
easat-9474	344	8	=	=	INTJ
easat-9474	344	9	−	−	PROPN
easat-9474	345	1	+	+	CCONJ
easat-9474	346	1	+	+	CCONJ
easat-9474	346	2	−	−	X
easat-9474	346	3	+	+	CCONJ
easat-9474	346	4	−	−	ADV
easat-9474	346	5			PROPN
easat-9474	346	6			PROPN
easat-9474	346	7			X
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easat-9474	346	9	42	42	NUM
easat-9474	346	10	)	)	PUNCT
easat-9474	346	11	(	(	PUNCT
easat-9474	346	12	)	)	PUNCT
easat-9474	346	13	(	(	PUNCT
easat-9474	346	14	)	)	PUNCT
easat-9474	346	15	(	(	PUNCT
easat-9474	346	16	)	)	PUNCT
easat-9474	346	17	(	(	PUNCT
easat-9474	346	18	)	)	PUNCT
easat-9474	346	19	2	2	NUM
easat-9474	346	20	221	221	NUM
easat-9474	346	21	2	2	NUM
easat-9474	346	22	,	,	PUNCT
easat-9474	346	23	2	2	NUM
easat-9474	346	24	2	2	NUM
easat-9474	346	25	ij	ij	NUM
easat-9474	346	26	ij	ij	INTJ
easat-9474	346	27	ij	ij	INTJ
easat-9474	346	28	i	i	INTJ
easat-9474	346	29	j	j	PROPN
easat-9474	346	30	rs	rs	INTJ
easat-9474	346	31	q	q	PROPN
easat-9474	347	1	s	s	NOUN
easat-9474	347	2	r	r	NOUN
easat-9474	347	3	q	q	X
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easat-9474	347	6	r	r	NOUN
easat-9474	347	7	q	q	X
easat-9474	347	8	q	q	NOUN
easat-9474	347	9	r	r	NOUN
easat-9474	347	10	s	s	NOUN
easat-9474	347	11	q	q	X
easat-9474	347	12	q	q	X
easat-9474	348	1	i	i	INTJ
easat-9474	348	2	d	d	VERB
easat-9474	348	3	i	i	PRON
easat-9474	348	4	q	q	X
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easat-9474	348	8	d	d	PROPN
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easat-9474	348	10			PROPN
easat-9474	348	11			NUM
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easat-9474	348	13			X
easat-9474	348	14			SYM
easat-9474	348	15			X
easat-9474	348	16	+	+	PUNCT
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easat-9474	348	18	−	−	ADP
easat-9474	348	19	−	−	NOUN
easat-9474	348	20	−	−	PROPN
easat-9474	348	21	−	−	PROPN
easat-9474	349	1	+	+	CCONJ
easat-9474	349	2	−	−	PROPN
easat-9474	349	3	−	−	NOUN
easat-9474	350	1	=	=	SYM
easat-9474	350	2	−	−	NOUN
easat-9474	350	3			NOUN
easat-9474	350	4			NOUN
easat-9474	351	1			ADJ
easat-9474	351	2			PROPN
easat-9474	351	3	=	=	X
easat-9474	351	4	+	+	CCONJ
easat-9474	351	5	+	+	CCONJ
easat-9474	351	6	−	−	PROPN
easat-9474	351	7	+	+	CCONJ
easat-9474	351	8	−	−	PROPN
easat-9474	351	9			NOUN
easat-9474	351	10			NOUN
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easat-9474	351	13			X
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easat-9474	351	15	43	43	NUM
easat-9474	351	16	)	)	PUNCT
easat-9474	351	17	(	(	PUNCT
easat-9474	351	18	)	)	PUNCT
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easat-9474	351	20	)	)	PUNCT
easat-9474	351	21	(	(	PUNCT
easat-9474	351	22	)	)	PUNCT
easat-9474	351	23	(	(	PUNCT
easat-9474	351	24	)	)	PUNCT
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easat-9474	359	10			X
easat-9474	359	11			X
easat-9474	359	12			X
easat-9474	359	13			PRON
easat-9474	359	14	+	+	NOUN
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easat-9474	359	16	−	−	ADP
easat-9474	359	17	−	−	NOUN
easat-9474	359	18	−	−	PROPN
easat-9474	359	19	−	−	PROPN
easat-9474	360	1	+	+	CCONJ
easat-9474	360	2	−	−	PROPN
easat-9474	360	3	+	+	CCONJ
easat-9474	360	4	=	=	NUM
easat-9474	360	5	−	−	X
easat-9474	360	6			NOUN
easat-9474	360	7			NOUN
easat-9474	361	1			ADJ
easat-9474	361	2			PROPN
easat-9474	361	3	=	=	X
easat-9474	361	4	+	+	CCONJ
easat-9474	361	5	+	+	CCONJ
easat-9474	361	6	−	−	PROPN
easat-9474	361	7	+	+	CCONJ
easat-9474	361	8	−	−	PROPN
easat-9474	361	9			NOUN
easat-9474	361	10			NOUN
easat-9474	361	11			PROPN
easat-9474	361	12			PROPN
easat-9474	361	13			X
easat-9474	361	14	(	(	PUNCT
easat-9474	361	15	44	44	NUM
easat-9474	361	16	)	)	PUNCT
easat-9474	361	17	for	for	ADP
easat-9474	361	18	neuveu	neuveu	ADJ
easat-9474	361	19	-	-	PUNCT
easat-9474	361	20	schwartz	schwartz	NOUN
easat-9474	361	21	sector	sector	NOUN
easat-9474	361	22	:	:	PUNCT
easat-9474	361	23			ADJ
easat-9474	361	24			PROPN
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easat-9474	361	26	)	)	PUNCT
easat-9474	361	27			ADJ
easat-9474	361	28			ADP
easat-9474	361	29			PROPN
easat-9474	361	30			ADP
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easat-9474	361	48	)	)	PUNCT
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easat-9474	361	72	mr	mr	PROPN
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easat-9474	361	74	l	l	PROPN
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easat-9474	361	80	n	n	CCONJ
easat-9474	361	81	n	n	NOUN
easat-9474	361	82	r	r	NOUN
easat-9474	362	1	d	d	X
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easat-9474	362	3	g	g	PROPN
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easat-9474	362	5	q	q	NOUN
easat-9474	363	1	n	n	PROPN
easat-9474	363	2	b	b	PROPN
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easat-9474	363	9			NUM
easat-9474	364	1			NUM
easat-9474	364	2	+	+	X
easat-9474	364	3	+	+	PUNCT
easat-9474	364	4	+	+	PUNCT
easat-9474	364	5	+	+	ADJ
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easat-9474	364	7	+	+	NUM
easat-9474	364	8	−	−	PROPN
easat-9474	364	9	=	=	SYM
easat-9474	364	10	−	−	PROPN
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easat-9474	365	2	−	−	PROPN
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easat-9474	366	2	−	−	PROPN
easat-9474	366	3	=	=	SYM
easat-9474	367	1	+	+	NUM
easat-9474	367	2	−	−	PROPN
easat-9474	368	1	+	+	NUM
easat-9474	368	2			NOUN
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easat-9474	368	4	=	=	PUNCT
easat-9474	369	1	−	−	PROPN
easat-9474	370	1	+	+	ADV
easat-9474	370	2			PROPN
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easat-9474	370	4			PROPN
easat-9474	370	5			NOUN
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easat-9474	370	7	45	45	NUM
easat-9474	370	8	)	)	PUNCT
easat-9474	370	9	where	where	SCONJ
easat-9474	370	10	rnm	rnm	NOUN
easat-9474	370	11	is	be	AUX
easat-9474	370	12	given	give	VERB
easat-9474	370	13	by	by	ADP
easat-9474	370	14	(	(	PUNCT
easat-9474	370	15	42	42	NUM
easat-9474	370	16	)	)	PUNCT
easat-9474	370	17	,	,	PUNCT
easat-9474	370	18	and	and	CCONJ
easat-9474	370	19	brs	br	VERB
easat-9474	370	20	and	and	CCONJ
easat-9474	370	21	vmr	vmr	PROPN
easat-9474	370	22	are	be	AUX
easat-9474	370	23	given	give	VERB
easat-9474	370	24	by	by	ADP
easat-9474	370	25	:	:	PUNCT
easat-9474	370	26	(	(	PUNCT
easat-9474	370	27	46	46	NUM
easat-9474	370	28	)	)	PUNCT
easat-9474	370	29	[	[	PUNCT
easat-9474	370	30	,	,	PUNCT
easat-9474	370	31	]	]	X
easat-9474	370	32	r	r	NOUN
easat-9474	370	33	n	n	NOUN
easat-9474	370	34	r	r	NOUN
easat-9474	370	35	n	n	CCONJ
easat-9474	370	36	n	n	PROPN
easat-9474	370	37	z	z	NOUN
easat-9474	370	38	g	g	NOUN
easat-9474	370	39	b−	b−	ADV
easat-9474	370	40	+	+	SYM
easat-9474	370	41	+	+	NUM
easat-9474	370	42			NOUN
easat-9474	370	43	=	=	PRON
easat-9474	370	44			PROPN
easat-9474	370	45	922	922	NUM
easat-9474	370	46	edelweiss	edelweiss	PROPN
easat-9474	370	47	applied	apply	VERB
easat-9474	370	48	science	science	NOUN
easat-9474	370	49	and	and	CCONJ
easat-9474	370	50	technology	technology	NOUN
easat-9474	370	51	issn	issn	PROPN
easat-9474	370	52	:	:	PUNCT
easat-9474	370	53	2576	2576	NUM
easat-9474	370	54	-	-	SYM
easat-9474	370	55	8484	8484	NUM
easat-9474	370	56	vol	vol	NOUN
easat-9474	370	57	.	.	PROPN
easat-9474	371	1	9	9	NUM
easat-9474	371	2	,	,	PUNCT
easat-9474	371	3	no	no	INTJ
easat-9474	371	4	.	.	NOUN
easat-9474	371	5	8	8	NUM
easat-9474	371	6	:	:	PUNCT
easat-9474	371	7	913	913	NUM
easat-9474	371	8	-	-	SYM
easat-9474	371	9	930	930	NUM
easat-9474	371	10	,	,	PUNCT
easat-9474	371	11	2025	2025	NUM
easat-9474	371	12	doi	doi	NOUN
easat-9474	371	13	:	:	PUNCT
easat-9474	371	14	10.55214/2576	10.55214/2576	NUM
easat-9474	371	15	-	-	PUNCT
easat-9474	371	16	8484.v9i8.9474	8484.v9i8.9474	NOUN
easat-9474	372	1	©	©	PROPN
easat-9474	372	2	2025	2025	NUM
easat-9474	372	3	by	by	ADP
easat-9474	372	4	the	the	DET
easat-9474	372	5	authors	author	NOUN
easat-9474	372	6	;	;	PUNCT
easat-9474	372	7	licensee	licensee	PROPN
easat-9474	372	8	learning	learning	NOUN
easat-9474	372	9	gate	gate	NOUN
easat-9474	372	10	(	(	PUNCT
easat-9474	372	11	)	)	PUNCT
easat-9474	372	12	(	(	PUNCT
easat-9474	372	13	)	)	PUNCT
easat-9474	372	14	(	(	PUNCT
easat-9474	372	15	)	)	PUNCT
easat-9474	372	16	(	(	PUNCT
easat-9474	372	17	)	)	PUNCT
easat-9474	372	18	2	2	NUM
easat-9474	372	19	221	221	NUM
easat-9474	372	20	2	2	NUM
easat-9474	372	21	,	,	PUNCT
easat-9474	372	22	2	2	NUM
easat-9474	372	23	2	2	NUM
easat-9474	372	24	ij	ij	NUM
easat-9474	372	25	ij	ij	INTJ
easat-9474	372	26	ij	ij	INTJ
easat-9474	373	1	ij	ij	INTJ
easat-9474	374	1	i	i	PRON
easat-9474	374	2	j	j	PROPN
easat-9474	375	1	mr	mr	PROPN
easat-9474	375	2	q	q	PROPN
easat-9474	375	3	r	r	PROPN
easat-9474	375	4	m	m	VERB
easat-9474	375	5	q	q	NOUN
easat-9474	375	6	q	q	X
easat-9474	375	7	r	r	NOUN
easat-9474	375	8	m	m	NOUN
easat-9474	375	9	q	q	NOUN
easat-9474	375	10	q	q	X
easat-9474	375	11	r	r	NOUN
easat-9474	375	12	m	m	NOUN
easat-9474	375	13	q	q	NOUN
easat-9474	375	14	q	q	X
easat-9474	376	1	i	i	PRON
easat-9474	376	2	v	v	VERB
easat-9474	377	1	i	i	PRON
easat-9474	377	2	q	q	NOUN
easat-9474	378	1	r	r	NOUN
easat-9474	378	2	m	m	VERB
easat-9474	378	3	q	q	NOUN
easat-9474	378	4	b	b	NOUN
easat-9474	378	5			PROPN
easat-9474	378	6			NUM
easat-9474	378	7			NUM
easat-9474	378	8			X
easat-9474	378	9			X
easat-9474	378	10			X
easat-9474	378	11			PRON
easat-9474	378	12	+	+	NOUN
easat-9474	378	13			VERB
easat-9474	378	14	−	−	ADP
easat-9474	378	15	−	−	NOUN
easat-9474	378	16	−	−	PROPN
easat-9474	378	17	−	−	PROPN
easat-9474	379	1	+	+	CCONJ
easat-9474	379	2	−	−	PROPN
easat-9474	379	3	+	+	CCONJ
easat-9474	379	4	=	=	NUM
easat-9474	379	5	−	−	X
easat-9474	379	6			NOUN
easat-9474	379	7			NOUN
easat-9474	380	1			ADJ
easat-9474	380	2			PROPN
easat-9474	380	3	=	=	X
easat-9474	380	4	+	+	CCONJ
easat-9474	380	5	+	+	CCONJ
easat-9474	380	6	−	−	PROPN
easat-9474	380	7	+	+	CCONJ
easat-9474	380	8	−	−	PROPN
easat-9474	380	9			NOUN
easat-9474	380	10			NOUN
easat-9474	380	11			PROPN
easat-9474	380	12			PROPN
easat-9474	380	13			X
easat-9474	380	14	(	(	PUNCT
easat-9474	380	15	47	47	NUM
easat-9474	380	16	)	)	PUNCT
easat-9474	380	17	7	7	NUM
easat-9474	380	18	.	.	PUNCT
easat-9474	380	19	mass	mass	PROPN
easat-9474	380	20	spectrum	spectrum	PROPN
easat-9474	380	21	and	and	CCONJ
easat-9474	380	22	gso	gso	PROPN
easat-9474	380	23	projection	projection	NOUN
easat-9474	380	24	the	the	DET
easat-9474	380	25	mass	mass	NOUN
easat-9474	380	26	operator	operator	NOUN
easat-9474	380	27	will	will	AUX
easat-9474	380	28	be	be	AUX
easat-9474	380	29	written	write	VERB
easat-9474	380	30	in	in	ADP
easat-9474	380	31	the	the	DET
easat-9474	380	32	paraquantized	paraquantize	VERB
easat-9474	380	33	form	form	NOUN
easat-9474	380	34	as	as	ADP
easat-9474	380	35	[	[	X
easat-9474	380	36	9	9	NUM
easat-9474	380	37	,	,	PUNCT
easat-9474	380	38	10	10	NUM
easat-9474	380	39	]	]	PUNCT
easat-9474	380	40	:	:	PUNCT
easat-9474	380	41	ramond	ramond	ADJ
easat-9474	380	42	sector	sector	NOUN
easat-9474	380	43	:	:	PUNCT
easat-9474	380	44	1	1	NUM
easat-9474	380	45	1	1	NUM
easat-9474	380	46	2	2	NUM
easat-9474	380	47	2	2	NUM
easat-9474	380	48	1	1	NUM
easat-9474	380	49	2	2	NUM
easat-9474	380	50	1	1	NUM
easat-9474	380	51	1	1	NUM
easat-9474	380	52	,	,	PUNCT
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easat-9474	380	56	d	d	NOUN
easat-9474	381	1	i	i	PRON
easat-9474	382	1	i	i	PRON
easat-9474	383	1	i	i	VERB
easat-9474	384	1	i	i	VERB
easat-9474	384	2	n	n	VERB
easat-9474	384	3	n	n	NOUN
easat-9474	384	4	r	r	NOUN
easat-9474	384	5	r	r	NOUN
easat-9474	384	6	i	i	PRON
easat-9474	385	1	n	n	NOUN
easat-9474	386	1	i	i	NOUN
easat-9474	386	2	r	r	NOUN
easat-9474	387	1	r	r	NOUN
easat-9474	387	2	m	m	NOUN
easat-9474	387	3	r	r	NOUN
easat-9474	387	4	dd	dd	VERB
easat-9474	387	5			NOUN
easat-9474	387	6			X
easat-9474	387	7	−	−	NOUN
easat-9474	387	8			VERB
easat-9474	387	9	−	−	ADP
easat-9474	387	10			NOUN
easat-9474	387	11	−	−	PROPN
easat-9474	387	12	−+	−+	NOUN
easat-9474	387	13	−	−	NOUN
easat-9474	387	14	=	=	PUNCT
easat-9474	388	1	=	=	PUNCT
easat-9474	388	2	=	=	PUNCT
easat-9474	388	3	=	=	PUNCT
easat-9474	388	4			NOUN
easat-9474	388	5			NOUN
easat-9474	388	6			PROPN
easat-9474	388	7			INTJ
easat-9474	388	8			PROPN
easat-9474	388	9	=	=	PROPN
easat-9474	388	10	+	+	PROPN
easat-9474	388	11			PROPN
easat-9474	388	12			NOUN
easat-9474	388	13			PROPN
easat-9474	388	14			VERB
easat-9474	388	15			PROPN
easat-9474	388	16			PROPN
easat-9474	388	17			NOUN
easat-9474	388	18			VERB
easat-9474	388	19			X
easat-9474	388	20	(	(	PUNCT
easat-9474	388	21	48	48	NUM
easat-9474	388	22	)	)	PUNCT
easat-9474	388	23	(	(	PUNCT
easat-9474	388	24	49	49	NUM
easat-9474	388	25	)	)	PUNCT
easat-9474	388	26	neuveu	neuveu	ADJ
easat-9474	388	27	-	-	PUNCT
easat-9474	388	28	schwarz	schwarz	NOUN
easat-9474	388	29	sector	sector	NOUN
easat-9474	388	30	:	:	PUNCT
easat-9474	388	31	we	we	PRON
easat-9474	388	32	note	note	VERB
easat-9474	388	33	that	that	SCONJ
easat-9474	389	1	[	[	X
easat-9474	389	2	3	3	NUM
easat-9474	389	3	-	-	SYM
easat-9474	389	4	5	5	NUM
easat-9474	389	5	]	]	PUNCT
easat-9474	389	6	.	.	PUNCT
easat-9474	390	1	we	we	PRON
easat-9474	390	2	need	need	VERB
easat-9474	390	3	to	to	PART
easat-9474	390	4	diagonalize	diagonalize	VERB
easat-9474	390	5	the	the	DET
easat-9474	390	6	antisymmetric	antisymmetric	ADJ
easat-9474	390	7	matrices	matrix	NOUN
easat-9474	390	8	θm	θm	ADP
easat-9474	390	9	and	and	CCONJ
easat-9474	390	10	γm	γm	ADJ
easat-9474	390	11	by	by	ADP
easat-9474	390	12	introducing	introduce	VERB
easat-9474	390	13	the	the	DET
easat-9474	390	14	unitary	unitary	ADJ
easat-9474	390	15	matrix	matrix	NOUN
easat-9474	390	16	um	um	INTJ
easat-9474	390	17	such	such	ADJ
easat-9474	390	18	that	that	PRON
easat-9474	390	19	:	:	PUNCT
easat-9474	390	20	(	(	PUNCT
easat-9474	390	21	)	)	PUNCT
easat-9474	390	22	(	(	PUNCT
easat-9474	390	23	)	)	SYM
easat-9474	390	24	1	1	NUM
easat-9474	390	25	ij	ij	NOUN
easat-9474	390	26	mij	mij	X
easat-9474	390	27	ij	ij	INTJ
easat-9474	390	28	m	m	PROPN
easat-9474	390	29	m	m	VERB
easat-9474	390	30	m	m	VERB
easat-9474	390	31	m	m	VERB
easat-9474	390	32	iu	iu	ADP
easat-9474	390	33	i	i	PRON
easat-9474	390	34	u	u	PRON
easat-9474	390	35	d	d	NOUN
easat-9474	390	36			NOUN
easat-9474	390	37	−	−	NOUN
easat-9474	391	1	=	=	PUNCT
easat-9474	391	2	=	=	SYM
easat-9474	391	3	(	(	PUNCT
easat-9474	391	4	50	50	NUM
easat-9474	391	5	)	)	PUNCT
easat-9474	391	6	and	and	CCONJ
easat-9474	391	7	,	,	PUNCT
easat-9474	391	8	(	(	PUNCT
easat-9474	391	9	)	)	PUNCT
easat-9474	391	10	(	(	PUNCT
easat-9474	391	11	)	)	SYM
easat-9474	391	12	1	1	NUM
easat-9474	391	13	ij	ij	NOUN
easat-9474	391	14	mij	mij	X
easat-9474	391	15	ij	ij	INTJ
easat-9474	391	16	m	m	PROPN
easat-9474	391	17	m	m	VERB
easat-9474	391	18	m	m	VERB
easat-9474	391	19	m	m	VERB
easat-9474	391	20	iu	iu	ADP
easat-9474	391	21	i	i	PRON
easat-9474	391	22	u	u	NOUN
easat-9474	391	23	t	t	VERB
easat-9474	391	24			PROPN
easat-9474	391	25	−	−	NOUN
easat-9474	392	1	=	=	PUNCT
easat-9474	392	2	=	=	SYM
easat-9474	392	3	(	(	PUNCT
easat-9474	392	4	51	51	NUM
easat-9474	392	5	)	)	PUNCT
easat-9474	392	6	with	with	ADP
easat-9474	392	7	[	[	X
easat-9474	392	8	θm	θm	INTJ
easat-9474	392	9	,	,	PUNCT
easat-9474	392	10	γm	γm	X
easat-9474	392	11	]	]	X
easat-9474	392	12	=	=	SYM
easat-9474	392	13	0	0	X
easat-9474	392	14	.	.	PUNCT
easat-9474	393	1	this	this	DET
easat-9474	393	2	last	last	NOUN
easat-9474	393	3	can	can	AUX
easat-9474	393	4	be	be	AUX
easat-9474	393	5	obtained	obtain	VERB
easat-9474	393	6	through	through	ADP
easat-9474	393	7	a	a	DET
easat-9474	393	8	redefinition	redefinition	NOUN
easat-9474	393	9	of	of	ADP
easat-9474	393	10	the	the	DET
easat-9474	393	11	fock	fock	ADJ
easat-9474	393	12	space	space	NOUN
easat-9474	393	13	[	[	X
easat-9474	393	14	8	8	NUM
easat-9474	393	15	,	,	PUNCT
easat-9474	393	16	22	22	NUM
easat-9474	393	17	]	]	PUNCT
easat-9474	393	18	in	in	ADP
easat-9474	393	19	order	order	NOUN
easat-9474	393	20	to	to	PART
easat-9474	393	21	get	get	VERB
easat-9474	393	22	a	a	DET
easat-9474	393	23	diagonal	diagonal	ADJ
easat-9474	393	24	mass	mass	NOUN
easat-9474	393	25	in	in	ADP
easat-9474	393	26	this	this	DET
easat-9474	393	27	new	new	ADJ
easat-9474	393	28	basis	basis	NOUN
easat-9474	393	29	.	.	PUNCT
easat-9474	394	1	the	the	DET
easat-9474	394	2	redefinition	redefinition	NOUN
easat-9474	394	3	takes	take	VERB
easat-9474	394	4	this	this	DET
easat-9474	394	5	form	form	NOUN
easat-9474	394	6	:	:	PUNCT
easat-9474	394	7	(	(	PUNCT
easat-9474	394	8	)	)	PUNCT
easat-9474	394	9			PROPN
easat-9474	394	10			PROPN
easat-9474	394	11	(	(	PUNCT
easat-9474	394	12	)	)	PUNCT
easat-9474	394	13	(	(	PUNCT
easat-9474	394	14	)	)	PUNCT
easat-9474	394	15	(	(	PUNCT
easat-9474	394	16	)	)	PUNCT
easat-9474	394	17			PROPN
easat-9474	394	18			PROPN
easat-9474	394	19	(	(	PUNCT
easat-9474	394	20	)	)	PUNCT
easat-9474	394	21	(	(	PUNCT
easat-9474	394	22	)	)	PUNCT
easat-9474	394	23	,	,	PUNCT
easat-9474	394	24	,	,	PUNCT
easat-9474	394	25	,	,	PUNCT
easat-9474	394	26	,	,	PUNCT
easat-9474	394	27	,	,	PUNCT
easat-9474	394	28	,	,	PUNCT
easat-9474	394	29	1	1	NUM
easat-9474	394	30	1	1	NUM
easat-9474	394	31	1	1	NUM
easat-9474	394	32	32	32	NUM
easat-9474	394	33	1	1	NUM
easat-9474	394	34	2	2	NUM
easat-9474	394	35	1,2	1,2	NUM
easat-9474	394	36	..	..	PUNCT
easat-9474	394	37	,	,	PUNCT
easat-9474	394	38	...	...	PUNCT
easat-9474	394	39	2	2	NUM
easat-9474	394	40	2	2	NUM
easat-9474	394	41	1	1	NUM
easat-9474	394	42	1	1	NUM
easat-9474	394	43	1	1	NUM
easat-9474	394	44	1	1	NUM
easat-9474	394	45	32	32	NUM
easat-9474	394	46	1	1	NUM
easat-9474	394	47	2	2	NUM
easat-9474	394	48	1,2	1,2	NUM
easat-9474	394	49	..	..	PUNCT
easat-9474	394	50	,	,	PUNCT
easat-9474	394	51	...	...	PUNCT
easat-9474	394	52	2	2	NUM
easat-9474	394	53	2	2	NUM
easat-9474	394	54	1	1	NUM
easat-9474	394	55	,	,	PUNCT
easat-9474	394	56	!	!	PUNCT
easat-9474	395	1	1	1	NUM
easat-9474	395	2	,	,	PUNCT
easat-9474	395	3	!	!	PUNCT
easat-9474	396	1	m	m	VERB
easat-9474	397	1	i	i	VERB
easat-9474	397	2	r	r	VERB
easat-9474	397	3	j	j	PROPN
easat-9474	397	4	n	n	CCONJ
easat-9474	397	5	j	j	NOUN
easat-9474	397	6	m	m	VERB
easat-9474	398	1	i	i	VERB
easat-9474	398	2	r	r	VERB
easat-9474	398	3	j	j	PROPN
easat-9474	398	4	n	n	CCONJ
easat-9474	398	5	j	j	PROPN
easat-9474	399	1	d	d	PROPN
easat-9474	399	2	d	d	PROPN
easat-9474	399	3	i	i	PRON
easat-9474	399	4	j	j	PROPN
easat-9474	400	1	j	j	PROPN
easat-9474	400	2	t	t	PROPN
easat-9474	400	3	m	m	PROPN
easat-9474	400	4	r	r	NOUN
easat-9474	400	5	n	n	NOUN
easat-9474	401	1	i	i	PRON
easat-9474	401	2	m	m	VERB
easat-9474	401	3	j	j	NOUN
easat-9474	401	4	n	n	ADP
easat-9474	401	5	r	r	NOUN
easat-9474	402	1	d	d	PROPN
easat-9474	402	2	d	d	X
easat-9474	402	3	i	i	PRON
easat-9474	402	4	j	j	PROPN
easat-9474	403	1	j	j	PROPN
easat-9474	403	2	t	t	PROPN
easat-9474	403	3	m	m	VERB
easat-9474	403	4	m	m	VERB
easat-9474	403	5	r	r	NOUN
easat-9474	403	6	n	n	NOUN
easat-9474	404	1	i	i	PRON
easat-9474	404	2	m	m	VERB
easat-9474	404	3	j	j	NOUN
easat-9474	404	4	n	n	ADP
easat-9474	404	5	r	r	NOUN
easat-9474	404	6	b	b	PROPN
easat-9474	404	7	or	or	CCONJ
easat-9474	404	8	d	d	NOUN
easat-9474	405	1	p	p	NOUN
easat-9474	405	2	p	p	X
easat-9474	405	3	h	h	NOUN
easat-9474	405	4	u	u	PROPN
easat-9474	405	5	b	b	PROPN
easat-9474	405	6	or	or	CCONJ
easat-9474	405	7	d	d	PROPN
easat-9474	405	8	p	p	X
easat-9474	405	9	p	p	PROPN
easat-9474	405	10	h	h	PROPN
easat-9474	405	11			ADJ
easat-9474	405	12			NOUN
easat-9474	405	13			ADP
easat-9474	405	14			X
easat-9474	405	15			NOUN
easat-9474	405	16			ADP
easat-9474	405	17			X
easat-9474	405	18			X
easat-9474	405	19	−	−	NOUN
easat-9474	405	20			NOUN
easat-9474	405	21	−	−	NOUN
easat-9474	406	1	+	+	CCONJ
easat-9474	406	2	−	−	PROPN
easat-9474	406	3	−	−	NOUN
easat-9474	406	4	−	−	NOUN
easat-9474	407	1	=	=	SYM
easat-9474	407	2	=	=	PUNCT
easat-9474	407	3	=	=	PUNCT
easat-9474	408	1	=	=	PUNCT
easat-9474	408	2	+	+	SYM
easat-9474	408	3	=	=	SYM
easat-9474	408	4	−	−	NOUN
easat-9474	408	5	−	−	NOUN
easat-9474	408	6			NOUN
easat-9474	408	7	−	−	ADP
easat-9474	408	8	−	−	PROPN
easat-9474	408	9	+	+	CCONJ
easat-9474	408	10	−	−	PROPN
easat-9474	408	11	−	−	NOUN
easat-9474	408	12	−	−	NOUN
easat-9474	409	1	=	=	SYM
easat-9474	410	1	=	=	PUNCT
easat-9474	411	1	=	=	PUNCT
easat-9474	412	1	=	=	PUNCT
easat-9474	412	2	+	+	NUM
easat-9474	412	3	=	=	SYM
easat-9474	412	4	−	−	PROPN
easat-9474	412	5			NOUN
easat-9474	412	6			PROPN
easat-9474	412	7			PROPN
easat-9474	412	8			PROPN
easat-9474	412	9			NOUN
easat-9474	413	1			PROPN
easat-9474	413	2	→	→	ADJ
easat-9474	413	3			X
easat-9474	414	1			PROPN
easat-9474	414	2			PROPN
easat-9474	415	1			VERB
easat-9474	415	2			VERB
easat-9474	415	3			NOUN
easat-9474	415	4			NOUN
easat-9474	415	5			VERB
easat-9474	416	1			PROPN
easat-9474	416	2			PROPN
easat-9474	416	3			PROPN
easat-9474	416	4			NOUN
easat-9474	417	1			PROPN
easat-9474	417	2			PROPN
easat-9474	417	3			NOUN
easat-9474	418	1			PROPN
easat-9474	418	2			PROPN
easat-9474	419	1			VERB
easat-9474	419	2			VERB
easat-9474	419	3			NOUN
easat-9474	419	4			NOUN
easat-9474	419	5			VERB
easat-9474	419	6			PROPN
easat-9474	419	7			NUM
easat-9474	419	8			PROPN
easat-9474	419	9			PROPN
easat-9474	419	10			PROPN
easat-9474	419	11			NUM
easat-9474	419	12			NUM
easat-9474	419	13	where	where	SCONJ
easat-9474	419	14	⟨	⟨	VERB
easat-9474	419	15	...	...	PUNCT
easat-9474	419	16	⟩±	⟩±	PROPN
easat-9474	419	17	represent	represent	VERB
easat-9474	419	18	the	the	DET
easat-9474	419	19	symmetrized	symmetrize	VERB
easat-9474	419	20	(	(	PUNCT
easat-9474	419	21	anti	anti	ADJ
easat-9474	419	22	-	-	ADJ
easat-9474	419	23	symmetrized	symmetrized	ADJ
easat-9474	419	24	)	)	PUNCT
easat-9474	419	25	form	form	NOUN
easat-9474	419	26	of	of	ADP
easat-9474	419	27	the	the	DET
easat-9474	419	28	bosonic	bosonic	NOUN
easat-9474	419	29	(	(	PUNCT
easat-9474	419	30	fermionic	fermionic	NOUN
easat-9474	419	31	)	)	PUNCT
easat-9474	420	1	oscillators	oscillator	NOUN
easat-9474	420	2	product	product	NOUN
easat-9474	420	3	,	,	PUNCT
easat-9474	420	4	,	,	PUNCT
easat-9474	420	5	,	,	PUNCT
easat-9474	420	6	m	m	VERB
easat-9474	420	7	i	i	VERB
easat-9474	420	8	m	m	VERB
easat-9474	421	1	i	i	PRON
easat-9474	421	2	h	h	NOUN
easat-9474	421	3	=	=	PROPN
easat-9474	421	4	represent	represent	VERB
easat-9474	421	5	its	its	PRON
easat-9474	421	6	different	different	ADJ
easat-9474	421	7	possible	possible	ADJ
easat-9474	421	8	permutations	permutation	NOUN
easat-9474	421	9	of	of	ADP
easat-9474	421	10	the	the	DET
easat-9474	421	11	oscillators	oscillator	NOUN
easat-9474	421	12	and	and	CCONJ
easat-9474	421	13	,	,	PUNCT
easat-9474	421	14	n	n	PRON
easat-9474	421	15	k	k	NOUN
easat-9474	421	16	takes	take	VERB
easat-9474	421	17	either	either	DET
easat-9474	421	18	zero	zero	NUM
easat-9474	421	19	or	or	CCONJ
easat-9474	421	20	one	one	NUM
easat-9474	421	21	.	.	PUNCT
easat-9474	422	1	in	in	ADP
easat-9474	422	2	order	order	NOUN
easat-9474	422	3	to	to	PART
easat-9474	422	4	get	get	VERB
easat-9474	422	5	an	an	DET
easat-9474	422	6	equivalent	equivalent	NOUN
easat-9474	422	7	of	of	ADP
easat-9474	422	8	a	a	DET
easat-9474	422	9	gso	gso	PROPN
easat-9474	422	10	projection	projection	NOUN
easat-9474	422	11	,	,	PUNCT
easat-9474	422	12	one	one	PRON
easat-9474	422	13	can	can	AUX
easat-9474	422	14	use	use	VERB
easat-9474	422	15	the	the	DET
easat-9474	422	16	usual	usual	ADJ
easat-9474	422	17	way	way	NOUN
easat-9474	422	18	to	to	PART
easat-9474	422	19	get	get	VERB
easat-9474	422	20	the	the	DET
easat-9474	422	21	following	follow	VERB
easat-9474	422	22	steps	step	NOUN
easat-9474	422	23	in	in	ADP
easat-9474	422	24	the	the	DET
easat-9474	422	25	table	table	NOUN
easat-9474	422	26	below	below	ADV
easat-9474	422	27	(	(	PUNCT
easat-9474	422	28	table	table	NOUN
easat-9474	422	29	1	1	NUM
easat-9474	422	30	)	)	PUNCT
easat-9474	422	31	and	and	CCONJ
easat-9474	422	32	(	(	PUNCT
easat-9474	422	33	table	table	NOUN
easat-9474	422	34	2	2	NUM
easat-9474	422	35	)	)	PUNCT
easat-9474	422	36	.	.	PUNCT
easat-9474	423	1	1	1	NUM
easat-9474	423	2	1	1	NUM
easat-9474	423	3	2	2	NUM
easat-9474	423	4	12	12	NUM
easat-9474	423	5	1	1	NUM
easat-9474	423	6	2	2	NUM
easat-9474	423	7	2	2	NUM
easat-9474	423	8	1	1	NUM
easat-9474	423	9	2	2	NUM
easat-9474	423	10	,	,	PUNCT
easat-9474	423	11	,	,	PUNCT
easat-9474	424	1	2	2	NUM
easat-9474	424	2	16	16	NUM
easat-9474	425	1	d	d	NOUN
easat-9474	426	1	d	d	NOUN
easat-9474	427	1	i	i	PRON
easat-9474	428	1	i	i	PRON
easat-9474	429	1	i	i	PRON
easat-9474	430	1	i	i	PRON
easat-9474	430	2	ns	ns	VERB
easat-9474	430	3	n	n	CCONJ
easat-9474	430	4	n	n	NOUN
easat-9474	430	5	r	r	NOUN
easat-9474	430	6	r	r	NOUN
easat-9474	431	1	i	i	PRON
easat-9474	432	1	n	n	NOUN
easat-9474	433	1	i	i	NOUN
easat-9474	433	2	r	r	NOUN
easat-9474	434	1	d	d	NOUN
easat-9474	434	2	m	m	NOUN
easat-9474	434	3	r	r	NOUN
easat-9474	434	4	b	b	PROPN
easat-9474	434	5	b	b	X
easat-9474	434	6	q	q	NOUN
easat-9474	434	7			X
easat-9474	434	8			NOUN
easat-9474	434	9	−	−	NOUN
easat-9474	434	10			VERB
easat-9474	434	11	−	−	ADP
easat-9474	434	12			NOUN
easat-9474	434	13	−	−	PROPN
easat-9474	434	14	−+	−+	NOUN
easat-9474	434	15	−	−	NOUN
easat-9474	434	16	=	=	PUNCT
easat-9474	435	1	=	=	PUNCT
easat-9474	435	2	=	=	SYM
easat-9474	435	3	=	=	PUNCT
easat-9474	435	4			NOUN
easat-9474	435	5			PROPN
easat-9474	435	6	−	−	PROPN
easat-9474	435	7			PROPN
easat-9474	435	8			PROPN
easat-9474	435	9			X
easat-9474	435	10			PROPN
easat-9474	435	11	=	=	NOUN
easat-9474	435	12	+	+	CCONJ
easat-9474	435	13	−	−	PROPN
easat-9474	436	1			PROPN
easat-9474	436	2			NOUN
easat-9474	436	3			PROPN
easat-9474	436	4			VERB
easat-9474	436	5			PROPN
easat-9474	436	6			PROPN
easat-9474	436	7			PROPN
easat-9474	436	8			PROPN
easat-9474	436	9			PROPN
easat-9474	437	1			PROPN
easat-9474	437	2			PROPN
easat-9474	437	3			X
easat-9474	437	4			X
easat-9474	437	5	8	8	NUM
easat-9474	437	6	2d	2d	NOUN
easat-9474	437	7	q	q	NOUN
easat-9474	438	1	−	−	PROPN
easat-9474	439	1	=	=	SYM
easat-9474	440	1	(	(	PUNCT
easat-9474	440	2	52	52	NUM
easat-9474	440	3	)	)	PUNCT
easat-9474	440	4	923	923	NUM
easat-9474	440	5	edelweiss	edelweiss	PROPN
easat-9474	440	6	applied	apply	VERB
easat-9474	440	7	science	science	NOUN
easat-9474	440	8	and	and	CCONJ
easat-9474	440	9	technology	technology	NOUN
easat-9474	440	10	issn	issn	PROPN
easat-9474	440	11	:	:	PUNCT
easat-9474	440	12	2576	2576	NUM
easat-9474	440	13	-	-	SYM
easat-9474	440	14	8484	8484	NUM
easat-9474	440	15	vol	vol	NOUN
easat-9474	440	16	.	.	PROPN
easat-9474	441	1	9	9	NUM
easat-9474	441	2	,	,	PUNCT
easat-9474	441	3	no	no	INTJ
easat-9474	441	4	.	.	NOUN
easat-9474	441	5	8	8	NUM
easat-9474	441	6	:	:	PUNCT
easat-9474	441	7	913	913	NUM
easat-9474	441	8	-	-	SYM
easat-9474	441	9	930	930	NUM
easat-9474	441	10	,	,	PUNCT
easat-9474	441	11	2025	2025	NUM
easat-9474	441	12	doi	doi	NOUN
easat-9474	441	13	:	:	PUNCT
easat-9474	441	14	10.55214/2576	10.55214/2576	NUM
easat-9474	441	15	-	-	PUNCT
easat-9474	441	16	8484.v9i8.9474	8484.v9i8.9474	NOUN
easat-9474	442	1	©	©	PROPN
easat-9474	442	2	2025	2025	NUM
easat-9474	442	3	by	by	ADP
easat-9474	442	4	the	the	DET
easat-9474	442	5	authors	author	NOUN
easat-9474	442	6	;	;	PUNCT
easat-9474	442	7	licensee	licensee	PROPN
easat-9474	442	8	learning	learning	NOUN
easat-9474	442	9	gate	gate	VERB
easat-9474	442	10	the	the	DET
easat-9474	442	11	results	result	NOUN
easat-9474	442	12	of	of	ADP
easat-9474	442	13	gso	gso	PROPN
easat-9474	442	14	projection	projection	NOUN
easat-9474	442	15	for	for	ADP
easat-9474	442	16	the	the	DET
easat-9474	442	17	two	two	NUM
easat-9474	442	18	sectors	sector	NOUN
easat-9474	442	19	are	be	AUX
easat-9474	442	20	grouped	group	VERB
easat-9474	442	21	in	in	ADP
easat-9474	442	22	(	(	PUNCT
easat-9474	442	23	table	table	NOUN
easat-9474	442	24	3	3	NUM
easat-9474	442	25	)	)	PUNCT
easat-9474	442	26	.	.	PUNCT
easat-9474	443	1	(	(	PUNCT
easat-9474	443	2	see	see	VERB
easat-9474	443	3	(	(	PUNCT
easat-9474	443	4	appendix	appendix	VERB
easat-9474	443	5	a	a	PRON
easat-9474	443	6	)	)	PUNCT
easat-9474	443	7	as	as	ADP
easat-9474	443	8	an	an	DET
easat-9474	443	9	example	example	NOUN
easat-9474	443	10	of	of	ADP
easat-9474	443	11	calculations	calculation	NOUN
easat-9474	443	12	of	of	ADP
easat-9474	443	13	mass	mass	ADJ
easat-9474	443	14	spectrum	spectrum	NOUN
easat-9474	443	15	)	)	PUNCT
easat-9474	443	16	.	.	PUNCT
easat-9474	444	1	table	table	NOUN
easat-9474	444	2	1	1	NUM
easat-9474	444	3	.	.	PUNCT
easat-9474	445	1	this	this	DET
easat-9474	445	2	table	table	NOUN
easat-9474	445	3	represents	represent	VERB
easat-9474	445	4	the	the	DET
easat-9474	445	5	mass	mass	NOUN
easat-9474	445	6	spectrum	spectrum	NOUN
easat-9474	445	7	in	in	ADP
easat-9474	445	8	terms	term	NOUN
easat-9474	445	9	of	of	ADP
easat-9474	445	10	redefined	redefined	ADJ
easat-9474	445	11	modes	mode	NOUN
easat-9474	445	12	.	.	PUNCT
easat-9474	446	1	level	level	NOUN
easat-9474	446	2	n	n	CCONJ
easat-9474	446	3	-	-	PUNCT
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easat-9474	494	10			PROPN
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easat-9474	504	1	+	+	CCONJ
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easat-9474	505	1	+	+	CCONJ
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easat-9474	505	9			NOUN
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easat-9474	506	15	-	-	PUNCT
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easat-9474	509	18	−	−	ADP
easat-9474	509	19			PROPN
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easat-9474	514	1			PROPN
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easat-9474	514	6	|	|	ADV
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easat-9474	514	8	−	−	NOUN
easat-9474	514	9			PROPN
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easat-9474	515	1	i	i	PRON
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easat-9474	515	4	−	−	PROPN
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easat-9474	517	1	+	+	CCONJ
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easat-9474	517	5			PROPN
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easat-9474	517	12	|	|	ADV
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easat-9474	519	8	−	−	NUM
easat-9474	519	9			X
easat-9474	519	10			PROPN
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easat-9474	529	30			X
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easat-9474	531	1	+	+	CCONJ
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easat-9474	533	3	−	−	NUM
easat-9474	534	1	−	−	PROPN
easat-9474	535	1	+	+	CCONJ
easat-9474	535	2	−	−	PROPN
easat-9474	535	3	−	−	NUM
easat-9474	535	4	−	−	PROPN
easat-9474	535	5	−	−	PROPN
easat-9474	535	6	−	−	PROPN
easat-9474	536	1	−	−	PROPN
easat-9474	537	1	+	+	CCONJ
easat-9474	537	2			PROPN
easat-9474	537	3			VERB
easat-9474	537	4			PROPN
easat-9474	537	5			PROPN
easat-9474	537	6			PROPN
easat-9474	537	7			VERB
easat-9474	537	8			PROPN
easat-9474	537	9			NOUN
easat-9474	537	10			NOUN
easat-9474	537	11			PROPN
easat-9474	537	12			PROPN
easat-9474	537	13			PROPN
easat-9474	537	14			PROPN
easat-9474	537	15			VERB
easat-9474	537	16			PROPN
easat-9474	537	17			PROPN
easat-9474	537	18			VERB
easat-9474	537	19			PROPN
easat-9474	537	20			PROPN
easat-9474	537	21			NOUN
easat-9474	537	22			NOUN
easat-9474	537	23			PROPN
easat-9474	537	24			PROPN
easat-9474	537	25			PROPN
easat-9474	537	26	2	2	NUM
easat-9474	537	27	1	1	NUM
easat-9474	537	28	1	1	NUM
easat-9474	537	29	1	1	NUM
easat-9474	537	30	2	2	NUM
easat-9474	537	31	2	2	NUM
easat-9474	537	32	1	1	NUM
easat-9474	537	33	1	1	NUM
easat-9474	537	34	1	1	NUM
easat-9474	537	35	1	1	NUM
easat-9474	537	36	1	1	NUM
easat-9474	537	37	1	1	NUM
easat-9474	537	38	1	1	NUM
easat-9474	537	39	1	1	NUM
easat-9474	537	40	1	1	NUM
easat-9474	537	41	1	1	NUM
easat-9474	538	1	|	|	ADV
easat-9474	538	2	0	0	NUM
easat-9474	538	3	1	1	NUM
easat-9474	538	4	,	,	PUNCT
easat-9474	538	5	|	|	ADV
easat-9474	538	6	0	0	NUM
easat-9474	538	7	2	2	X
easat-9474	538	8	!	!	PUNCT
easat-9474	539	1	|	|	ADV
easat-9474	539	2	0	0	NUM
easat-9474	539	3	1	1	NUM
easat-9474	539	4	,	,	PUNCT
easat-9474	539	5	|	|	ADV
easat-9474	539	6	0	0	NUM
easat-9474	539	7	2	2	NUM
easat-9474	539	8	!	!	SYM
easat-9474	539	9	1	1	NUM
easat-9474	539	10	,	,	PUNCT
easat-9474	539	11	|	|	ADV
easat-9474	539	12	0	0	NUM
easat-9474	539	13	2	2	NUM
easat-9474	539	14	!	!	PUNCT
easat-9474	540	1	j	j	PROPN
easat-9474	541	1	j	j	PROPN
easat-9474	541	2	k	k	PROPN
easat-9474	541	3	j	j	PROPN
easat-9474	542	1	j	j	PROPN
easat-9474	543	1	k	k	PROPN
easat-9474	543	2	j	j	PROPN
easat-9474	544	1	k	k	PROPN
easat-9474	545	1	d	d	PROPN
easat-9474	545	2	d	d	PROPN
easat-9474	545	3	d	d	X
easat-9474	545	4	u	u	X
easat-9474	545	5	u	u	X
easat-9474	545	6	u	u	NOUN
easat-9474	545	7	u	u	X
easat-9474	545	8	d	d	NOUN
easat-9474	545	9			X
easat-9474	545	10			X
easat-9474	545	11			X
easat-9474	545	12			X
easat-9474	545	13	−	−	PROPN
easat-9474	545	14	−	−	PROPN
easat-9474	545	15	−	−	PROPN
easat-9474	546	1	−	−	PROPN
easat-9474	546	2	−	−	PROPN
easat-9474	546	3	−	−	PROPN
easat-9474	546	4	−	−	PROPN
easat-9474	546	5	−	−	PROPN
easat-9474	546	6	−	−	PROPN
easat-9474	547	1	−	−	PROPN
easat-9474	548	1	+	+	CCONJ
easat-9474	548	2	−	−	PROPN
easat-9474	548	3	−	−	NUM
easat-9474	548	4	−	−	PROPN
easat-9474	549	1	+	+	CCONJ
easat-9474	549	2			PROPN
easat-9474	549	3			NUM
easat-9474	549	4			NOUN
easat-9474	549	5			PROPN
easat-9474	549	6			PROPN
easat-9474	549	7			PROPN
easat-9474	549	8			PROPN
easat-9474	549	9			NOUN
easat-9474	549	10			PROPN
easat-9474	549	11			PROPN
easat-9474	549	12			PROPN
easat-9474	549	13			NOUN
easat-9474	549	14			PROPN
easat-9474	549	15			PROPN
easat-9474	549	16	926	926	NUM
easat-9474	549	17	edelweiss	edelweiss	PROPN
easat-9474	549	18	applied	apply	VERB
easat-9474	549	19	science	science	NOUN
easat-9474	549	20	and	and	CCONJ
easat-9474	549	21	technology	technology	NOUN
easat-9474	549	22	issn	issn	PROPN
easat-9474	549	23	:	:	PUNCT
easat-9474	549	24	2576	2576	NUM
easat-9474	549	25	-	-	SYM
easat-9474	549	26	8484	8484	NUM
easat-9474	549	27	vol	vol	NOUN
easat-9474	549	28	.	.	PROPN
easat-9474	550	1	9	9	NUM
easat-9474	550	2	,	,	PUNCT
easat-9474	550	3	no	no	INTJ
easat-9474	550	4	.	.	NOUN
easat-9474	550	5	8	8	NUM
easat-9474	550	6	:	:	PUNCT
easat-9474	550	7	913	913	NUM
easat-9474	550	8	-	-	SYM
easat-9474	550	9	930	930	NUM
easat-9474	550	10	,	,	PUNCT
easat-9474	550	11	2025	2025	NUM
easat-9474	550	12	doi	doi	NOUN
easat-9474	550	13	:	:	PUNCT
easat-9474	550	14	10.55214/2576	10.55214/2576	NUM
easat-9474	550	15	-	-	PUNCT
easat-9474	550	16	8484.v9i8.9474	8484.v9i8.9474	NOUN
easat-9474	551	1	©	©	PROPN
easat-9474	551	2	2025	2025	NUM
easat-9474	551	3	by	by	ADP
easat-9474	551	4	the	the	DET
easat-9474	551	5	authors	author	NOUN
easat-9474	551	6	;	;	PUNCT
easat-9474	551	7	licensee	licensee	PROPN
easat-9474	551	8	learning	learning	NOUN
easat-9474	551	9	gate	gate	NOUN
easat-9474	551	10	one	one	PRON
easat-9474	551	11	can	can	AUX
easat-9474	551	12	then	then	ADV
easat-9474	551	13	impose	impose	VERB
easat-9474	551	14	:	:	PUNCT
easat-9474	551	15	(	(	PUNCT
easat-9474	551	16	)	)	PUNCT
easat-9474	551	17	(	(	PUNCT
easat-9474	551	18	)	)	PUNCT
easat-9474	551	19	(	(	PUNCT
easat-9474	551	20	)	)	SYM
easat-9474	551	21	1	1	NUM
easat-9474	551	22	1	1	NUM
easat-9474	551	23	2	2	NUM
easat-9474	551	24	1	1	NUM
easat-9474	551	25	2	2	NUM
easat-9474	551	26	i	i	PRON
easat-9474	551	27	i	i	VERB
easat-9474	551	28			NOUN
easat-9474	552	1			NOUN
easat-9474	552	2	−	−	PROPN
easat-9474	553	1	=	=	PUNCT
easat-9474	553	2			ADJ
easat-9474	553	3	(	(	PUNCT
easat-9474	553	4	53	53	NUM
easat-9474	553	5	)	)	PUNCT
easat-9474	553	6	to	to	PART
easat-9474	553	7	restore	restore	VERB
easat-9474	553	8	the	the	DET
easat-9474	553	9	value	value	NOUN
easat-9474	553	10	of	of	ADP
easat-9474	553	11	the	the	DET
easat-9474	553	12	mass	mass	NOUN
easat-9474	553	13	for	for	ADP
easat-9474	553	14	the	the	DET
easat-9474	553	15	first	first	ADJ
easat-9474	553	16	excited	excited	ADJ
easat-9474	553	17	state	state	NOUN
easat-9474	553	18	(	(	PUNCT
easat-9474	553	19	for	for	ADP
easat-9474	553	20	example	example	NOUN
easat-9474	553	21	)	)	PUNCT
easat-9474	553	22	,	,	PUNCT
easat-9474	553	23	and	and	CCONJ
easat-9474	553	24	in	in	ADP
easat-9474	553	25	general	general	ADJ
easat-9474	553	26	:	:	PUNCT
easat-9474	553	27	(	(	PUNCT
easat-9474	553	28	)	)	PUNCT
easat-9474	553	29	(	(	PUNCT
easat-9474	553	30	)	)	PUNCT
easat-9474	553	31	(	(	PUNCT
easat-9474	553	32	)	)	PUNCT
easat-9474	553	33	2	2	NUM
easat-9474	553	34	2	2	NUM
easat-9474	553	35	2	2	NUM
easat-9474	553	36	m	m	NOUN
easat-9474	553	37	m	m	VERB
easat-9474	553	38	i	i	PRON
easat-9474	554	1	i	i	PRON
easat-9474	554	2	m	m	VERB
easat-9474	554	3			ADJ
easat-9474	554	4			NOUN
easat-9474	555	1			NOUN
easat-9474	555	2	−	−	PROPN
easat-9474	556	1	=	=	PUNCT
easat-9474	556	2			ADJ
easat-9474	556	3	(	(	PUNCT
easat-9474	556	4	54	54	NUM
easat-9474	556	5	)	)	PUNCT
easat-9474	556	6	equivalent	equivalent	ADJ
easat-9474	556	7	to	to	ADP
easat-9474	556	8	:	:	PUNCT
easat-9474	556	9	to	to	PART
easat-9474	556	10	restore	restore	VERB
easat-9474	556	11	those	those	PRON
easat-9474	556	12	of	of	ADP
easat-9474	556	13	the	the	DET
easat-9474	556	14	other	other	ADJ
easat-9474	556	15	levels	level	NOUN
easat-9474	556	16	,	,	PUNCT
easat-9474	556	17	where	where	SCONJ
easat-9474	556	18	m	m	VERB
easat-9474	556	19	>	>	X
easat-9474	556	20	0	0	PUNCT
easat-9474	556	21	represents	represent	VERB
easat-9474	556	22	the	the	DET
easat-9474	556	23	number	number	NOUN
easat-9474	556	24	of	of	ADP
easat-9474	556	25	state	state	NOUN
easat-9474	556	26	level	level	NOUN
easat-9474	556	27	.	.	PUNCT
easat-9474	557	1	finally	finally	ADV
easat-9474	557	2	,	,	PUNCT
easat-9474	557	3	we	we	PRON
easat-9474	557	4	obtain	obtain	VERB
easat-9474	557	5	(	(	PUNCT
easat-9474	557	6	table	table	NOUN
easat-9474	557	7	4	4	NUM
easat-9474	557	8	)	)	PUNCT
easat-9474	557	9	.	.	PUNCT
easat-9474	558	1	table	table	NOUN
easat-9474	558	2	4	4	NUM
easat-9474	558	3	.	.	PUNCT
easat-9474	559	1	this	this	DET
easat-9474	559	2	table	table	NOUN
easat-9474	559	3	represents	represent	VERB
easat-9474	559	4	the	the	DET
easat-9474	559	5	first	first	ADJ
easat-9474	559	6	levels	level	NOUN
easat-9474	559	7	of	of	ADP
easat-9474	559	8	the	the	DET
easat-9474	559	9	mass	mass	NOUN
easat-9474	559	10	spectrum	spectrum	NOUN
easat-9474	559	11	after	after	ADP
easat-9474	559	12	gso	gso	PROPN
easat-9474	559	13	projection	projection	NOUN
easat-9474	559	14	and	and	CCONJ
easat-9474	559	15	the	the	DET
easat-9474	559	16	application	application	NOUN
easat-9474	559	17	of	of	ADP
easat-9474	559	18	the	the	DET
easat-9474	559	19	equation	equation	NOUN
easat-9474	559	20	(	(	PUNCT
easat-9474	559	21	54	54	NUM
easat-9474	559	22	)	)	PUNCT
easat-9474	559	23	.	.	PUNCT
easat-9474	560	1	level	level	NOUN
easat-9474	560	2	n	n	CCONJ
easat-9474	560	3	-	-	PUNCT
easat-9474	560	4	s	s	NOUN
easat-9474	560	5	sector	sector	NOUN
easat-9474	560	6	r	r	NOUN
easat-9474	560	7	-	-	PUNCT
easat-9474	560	8	sector	sector	NOUN
easat-9474	560	9	state	state	NOUN
easat-9474	560	10	mass	mass	PROPN
easat-9474	560	11	state	state	NOUN
easat-9474	560	12	mass	mass	NOUN
easat-9474	560	13	1	1	NUM
easat-9474	560	14	1	1	NUM
easat-9474	560	15	2	2	NUM
easat-9474	560	16	|	|	ADV
easat-9474	560	17	0ib	0ib	ADJ
easat-9474	560	18	−	−	ADP
easat-9474	560	19			PROPN
easat-9474	560	20	0	0	NUM
easat-9474	560	21	|0⟩	|0⟩	NOUN
easat-9474	560	22	0	0	NUM
easat-9474	560	23	3	3	NUM
easat-9474	560	24	d	d	SYM
easat-9474	560	25	u	u	NOUN
easat-9474	560	26	5	5	NUM
easat-9474	560	27	d	d	SYM
easat-9474	560	28	5	5	NUM
easat-9474	560	29	2	2	NUM
easat-9474	560	30	1	1	NUM
easat-9474	560	31	1	1	NUM
easat-9474	560	32	1	1	NUM
easat-9474	560	33	2	2	NUM
easat-9474	560	34	2	2	NUM
easat-9474	560	35	2	2	NUM
easat-9474	560	36	1	1	NUM
easat-9474	560	37	2	2	NUM
easat-9474	560	38	2	2	NUM
easat-9474	560	39	1	1	NUM
easat-9474	560	40	2	2	NUM
easat-9474	560	41	|	|	CCONJ
easat-9474	560	42	0	0	NUM
easat-9474	560	43	1	1	NUM
easat-9474	560	44	,	,	PUNCT
easat-9474	560	45	,	,	PUNCT
easat-9474	560	46	3	3	X
easat-9474	560	47	!	!	SYM
easat-9474	560	48	1	1	NUM
easat-9474	560	49	,	,	PUNCT
easat-9474	560	50	|	|	ADV
easat-9474	560	51	0	0	NUM
easat-9474	560	52	2	2	NUM
easat-9474	560	53	!	!	PUNCT
easat-9474	561	1	i	i	PRON
easat-9474	562	1	i	i	PRON
easat-9474	562	2	j	j	PROPN
easat-9474	563	1	k	k	PROPN
easat-9474	563	2	j	j	PROPN
easat-9474	564	1	k	k	PROPN
easat-9474	564	2	b	b	PROPN
easat-9474	564	3	b	b	PROPN
easat-9474	564	4	b	b	PROPN
easat-9474	564	5	b	b	X
easat-9474	564	6	u	u	NOUN
easat-9474	564	7	b	b	VERB
easat-9474	564	8	−	−	PROPN
easat-9474	564	9	−	−	PROPN
easat-9474	564	10	−	−	PROPN
easat-9474	564	11	−	−	PROPN
easat-9474	564	12	−	−	PROPN
easat-9474	565	1	−	−	PROPN
easat-9474	565	2	−	−	PROPN
easat-9474	566	1	−	−	PROPN
easat-9474	567	1	+	+	CCONJ
easat-9474	567	2			PROPN
easat-9474	567	3			PROPN
easat-9474	567	4			VERB
easat-9474	567	5			PROPN
easat-9474	567	6			NOUN
easat-9474	567	7			NOUN
easat-9474	567	8			PROPN
easat-9474	567	9			VERB
easat-9474	567	10			PROPN
easat-9474	567	11	u	u	NOUN
easat-9474	567	12	by	by	ADP
easat-9474	567	13	applying	apply	VERB
easat-9474	567	14	(	(	PUNCT
easat-9474	567	15	umum	umum	NOUN
easat-9474	567	16	−1	−1	NOUN
easat-9474	567	17	)	)	PUNCT
easat-9474	567	18	on	on	ADP
easat-9474	567	19	the	the	DET
easat-9474	567	20	both	both	DET
easat-9474	567	21	sides	side	NOUN
easat-9474	567	22	of	of	ADP
easat-9474	567	23	(	(	PUNCT
easat-9474	567	24	50	50	NUM
easat-9474	567	25	)	)	PUNCT
easat-9474	567	26	and	and	CCONJ
easat-9474	567	27	(	(	PUNCT
easat-9474	567	28	51	51	NUM
easat-9474	567	29	)	)	PUNCT
easat-9474	567	30	,	,	PUNCT
easat-9474	567	31	one	one	PRON
easat-9474	567	32	can	can	AUX
easat-9474	567	33	show	show	VERB
easat-9474	567	34	that	that	SCONJ
easat-9474	567	35	the	the	DET
easat-9474	567	36	equation	equation	NOUN
easat-9474	567	37	(	(	PUNCT
easat-9474	567	38	55	55	NUM
easat-9474	567	39	)	)	PUNCT
easat-9474	567	40	can	can	AUX
easat-9474	567	41	be	be	AUX
easat-9474	567	42	expressed	express	VERB
easat-9474	567	43	with	with	ADP
easat-9474	567	44	respect	respect	NOUN
easat-9474	567	45	to	to	ADP
easat-9474	567	46	θm	θm	PROPN
easat-9474	567	47	and	and	CCONJ
easat-9474	567	48	γm	γm	ADJ
easat-9474	567	49	.	.	PUNCT
easat-9474	568	1	(	(	PUNCT
easat-9474	568	2	)	)	PUNCT
easat-9474	568	3	2	2	NUM
easat-9474	568	4	(	(	PUNCT
easat-9474	568	5	)	)	PUNCT
easat-9474	568	6	(	(	PUNCT
easat-9474	568	7	)	)	SYM
easat-9474	568	8	2	2	NUM
easat-9474	568	9	2	2	NUM
easat-9474	568	10	ij	ij	NOUN
easat-9474	568	11	ij	ij	INTJ
easat-9474	568	12	m	m	NOUN
easat-9474	568	13	m	m	VERB
easat-9474	568	14	m	m	VERB
easat-9474	568	15			NUM
easat-9474	568	16			X
easat-9474	569	1			PROPN
easat-9474	569	2	−	−	PROPN
easat-9474	570	1	=	=	PUNCT
easat-9474	570	2			ADJ
easat-9474	570	3	(	(	PUNCT
easat-9474	570	4	56	56	NUM
easat-9474	570	5	)	)	PUNCT
easat-9474	570	6	from	from	ADP
easat-9474	570	7	this	this	DET
easat-9474	570	8	result	result	NOUN
easat-9474	570	9	,	,	PUNCT
easat-9474	570	10	we	we	PRON
easat-9474	570	11	can	can	AUX
easat-9474	570	12	fix	fix	VERB
easat-9474	570	13	our	our	PRON
easat-9474	570	14	starting	starting	NOUN
easat-9474	570	15	model	model	NOUN
easat-9474	570	16	(	(	PUNCT
easat-9474	570	17	2	2	NUM
easat-9474	570	18	)	)	PUNCT
easat-9474	570	19	by	by	ADP
easat-9474	570	20	imposing	impose	VERB
easat-9474	570	21	to	to	ADP
easat-9474	570	22	θµν	θµν	NOUN
easat-9474	570	23	and	and	CCONJ
easat-9474	570	24	γµν	γµν	VERB
easat-9474	570	25	the	the	DET
easat-9474	570	26	following	follow	VERB
easat-9474	570	27	relation	relation	NOUN
easat-9474	570	28	:	:	PUNCT
easat-9474	570	29	(	(	PUNCT
easat-9474	570	30	)	)	PUNCT
easat-9474	570	31	2	2	NUM
easat-9474	570	32	(	(	PUNCT
easat-9474	570	33	)	)	PUNCT
easat-9474	570	34	(	(	PUNCT
easat-9474	570	35	)	)	SYM
easat-9474	570	36	2	2	NUM
easat-9474	570	37	2	2	NUM
easat-9474	570	38	ij	ij	NOUN
easat-9474	570	39	ij	ij	INTJ
easat-9474	570	40	m	m	NOUN
easat-9474	570	41	m	m	VERB
easat-9474	570	42	m	m	VERB
easat-9474	570	43	t	t	NOUN
easat-9474	570	44	d	d	PROPN
easat-9474	570	45			PROPN
easat-9474	571	1	−	−	PROPN
easat-9474	572	1	=	=	PUNCT
easat-9474	573	1			ADJ
easat-9474	573	2	(	(	PUNCT
easat-9474	573	3	55	55	NUM
easat-9474	573	4	)	)	PUNCT
easat-9474	573	5	927	927	NUM
easat-9474	573	6	edelweiss	edelweiss	PROPN
easat-9474	573	7	applied	apply	VERB
easat-9474	573	8	science	science	NOUN
easat-9474	573	9	and	and	CCONJ
easat-9474	573	10	technology	technology	NOUN
easat-9474	573	11	issn	issn	PROPN
easat-9474	573	12	:	:	PUNCT
easat-9474	573	13	2576	2576	NUM
easat-9474	573	14	-	-	SYM
easat-9474	573	15	8484	8484	NUM
easat-9474	573	16	vol	vol	NOUN
easat-9474	573	17	.	.	PROPN
easat-9474	574	1	9	9	NUM
easat-9474	574	2	,	,	PUNCT
easat-9474	574	3	no	no	INTJ
easat-9474	574	4	.	.	NOUN
easat-9474	574	5	8	8	NUM
easat-9474	574	6	:	:	PUNCT
easat-9474	574	7	913	913	NUM
easat-9474	574	8	-	-	SYM
easat-9474	574	9	930	930	NUM
easat-9474	574	10	,	,	PUNCT
easat-9474	574	11	2025	2025	NUM
easat-9474	574	12	doi	doi	NOUN
easat-9474	574	13	:	:	PUNCT
easat-9474	574	14	10.55214/2576	10.55214/2576	NUM
easat-9474	574	15	-	-	PUNCT
easat-9474	574	16	8484.v9i8.9474	8484.v9i8.9474	NOUN
easat-9474	575	1	©	©	PROPN
easat-9474	575	2	2025	2025	NUM
easat-9474	575	3	by	by	ADP
easat-9474	575	4	the	the	DET
easat-9474	575	5	authors	author	NOUN
easat-9474	575	6	;	;	PUNCT
easat-9474	575	7	licensee	licensee	PROPN
easat-9474	575	8	learning	learning	NOUN
easat-9474	575	9	gate	gate	NOUN
easat-9474	575	10	(	(	PUNCT
easat-9474	575	11	57	57	NUM
easat-9474	575	12	)	)	PUNCT
easat-9474	575	13	where	where	SCONJ
easat-9474	575	14	m	m	VERB
easat-9474	575	15	̸=	̸=	NOUN
easat-9474	575	16	0	0	NUM
easat-9474	575	17	and	and	CCONJ
easat-9474	575	18	µ,ν	µ,ν	X
easat-9474	575	19	=	=	SYM
easat-9474	575	20	0,1	0,1	NUM
easat-9474	575	21	...	...	PUNCT
easat-9474	575	22	,d−1	,d−1	PUNCT
easat-9474	575	23	.	.	PUNCT
easat-9474	576	1	with	with	ADP
easat-9474	576	2	this	this	DET
easat-9474	576	3	condition	condition	NOUN
easat-9474	576	4	(	(	PUNCT
easat-9474	576	5	57	57	NUM
easat-9474	576	6	)	)	PUNCT
easat-9474	576	7	,	,	PUNCT
easat-9474	576	8	one	one	PRON
easat-9474	576	9	can	can	AUX
easat-9474	576	10	easily	easily	ADV
easat-9474	576	11	verify	verify	VERB
easat-9474	576	12	that	that	SCONJ
easat-9474	576	13	all	all	DET
easat-9474	576	14	the	the	DET
easat-9474	576	15	anomaly	anomaly	NOUN
easat-9474	576	16	terms	term	NOUN
easat-9474	576	17	(	(	PUNCT
easat-9474	576	18	15	15	NUM
easat-9474	576	19	)	)	PUNCT
easat-9474	576	20	,	,	PUNCT
easat-9474	576	21	(	(	PUNCT
easat-9474	576	22	19	19	NUM
easat-9474	576	23	)	)	PUNCT
easat-9474	576	24	,	,	PUNCT
easat-9474	576	25	(	(	PUNCT
easat-9474	576	26	20	20	NUM
easat-9474	576	27	)	)	PUNCT
easat-9474	576	28	,	,	PUNCT
easat-9474	576	29	(	(	PUNCT
easat-9474	576	30	24	24	NUM
easat-9474	576	31	)	)	PUNCT
easat-9474	576	32	and	and	CCONJ
easat-9474	576	33	(	(	PUNCT
easat-9474	576	34	25	25	NUM
easat-9474	576	35	)	)	PUNCT
easat-9474	576	36	of	of	ADP
easat-9474	576	37	the	the	DET
easat-9474	576	38	modified	modify	VERB
easat-9474	576	39	virasoro	virasoro	NOUN
easat-9474	576	40	algebra	algebra	NOUN
easat-9474	576	41	due	due	ADP
easat-9474	576	42	to	to	ADP
easat-9474	576	43	the	the	DET
easat-9474	576	44	noncommutativity	noncommutativity	NOUN
easat-9474	576	45	are	be	AUX
easat-9474	576	46	eliminated	eliminate	VERB
easat-9474	576	47	.	.	PUNCT
easat-9474	577	1	this	this	DET
easat-9474	577	2	result	result	NOUN
easat-9474	577	3	is	be	AUX
easat-9474	577	4	a	a	DET
easat-9474	577	5	direct	direct	ADJ
easat-9474	577	6	consequence	consequence	NOUN
easat-9474	577	7	of	of	ADP
easat-9474	577	8	the	the	DET
easat-9474	577	9	fact	fact	NOUN
easat-9474	577	10	that	that	SCONJ
easat-9474	577	11	we	we	PRON
easat-9474	577	12	considered	consider	VERB
easat-9474	577	13	noncommutativity	noncommutativity	NOUN
easat-9474	577	14	between	between	ADP
easat-9474	577	15	coordinates	coordinate	NOUN
easat-9474	577	16	and	and	CCONJ
easat-9474	577	17	moments	moment	NOUN
easat-9474	577	18	instead	instead	ADV
easat-9474	577	19	of	of	ADP
easat-9474	577	20	only	only	ADV
easat-9474	577	21	between	between	ADP
easat-9474	577	22	coordinates	coordinate	NOUN
easat-9474	577	23	.	.	PUNCT
easat-9474	578	1	in	in	ADP
easat-9474	578	2	the	the	DET
easat-9474	578	3	other	other	ADJ
easat-9474	578	4	hand	hand	NOUN
easat-9474	578	5	,	,	PUNCT
easat-9474	578	6	the	the	DET
easat-9474	578	7	lorentz	lorentz	PROPN
easat-9474	578	8	algebra	algebra	PROPN
easat-9474	578	9	’s	’s	PART
easat-9474	578	10	anomaly	anomaly	NOUN
easat-9474	578	11	term	term	NOUN
easat-9474	578	12	(	(	PUNCT
easat-9474	578	13	30	30	NUM
easat-9474	578	14	)	)	PUNCT
easat-9474	578	15	is	be	AUX
easat-9474	578	16	simplified	simplify	VERB
easat-9474	578	17	to	to	PART
easat-9474	578	18	:	:	PUNCT
easat-9474	578	19	for	for	ADP
easat-9474	578	20	the	the	DET
easat-9474	578	21	zero	zero	NUM
easat-9474	578	22	mode	mode	NOUN
easat-9474	578	23	noncommutativity	noncommutativity	NOUN
easat-9474	578	24	parameters	parameter	NOUN
easat-9474	578	25	,	,	PUNCT
easat-9474	578	26	if	if	SCONJ
easat-9474	578	27	we	we	PRON
easat-9474	578	28	impose	impose	VERB
easat-9474	578	29	that	that	PRON
easat-9474	578	30	0	0	NUM
easat-9474	578	31	0	0	NUM
easat-9474	578	32	0	0	NUM
easat-9474	578	33			VERB
easat-9474	578	34	=	=	NOUN
easat-9474	578	35	=	=	PUNCT
easat-9474	578	36	,	,	PUNCT
easat-9474	578	37	the	the	DET
easat-9474	578	38	lorentz	lorentz	PROPN
easat-9474	578	39	algebra	algebra	PROPN
easat-9474	578	40	is	be	AUX
easat-9474	578	41	restored	restore	VERB
easat-9474	578	42	where	where	SCONJ
easat-9474	578	43	(	(	PUNCT
easat-9474	578	44	27	27	NUM
easat-9474	578	45	)	)	PUNCT
easat-9474	578	46	,	,	PUNCT
easat-9474	578	47	(	(	PUNCT
easat-9474	578	48	28	28	NUM
easat-9474	578	49	)	)	PUNCT
easat-9474	578	50	and	and	CCONJ
easat-9474	578	51	(	(	PUNCT
easat-9474	578	52	29	29	NUM
easat-9474	578	53	)	)	PUNCT
easat-9474	578	54	become	become	VERB
easat-9474	578	55	as	as	ADP
easat-9474	578	56	the	the	DET
easat-9474	578	57	ordinary	ordinary	ADJ
easat-9474	578	58	ones	one	NOUN
easat-9474	578	59	,	,	PUNCT
easat-9474	578	60	despite	despite	SCONJ
easat-9474	578	61	of	of	ADP
easat-9474	578	62	the	the	DET
easat-9474	578	63	fact	fact	NOUN
easat-9474	578	64	that	that	SCONJ
easat-9474	578	65	the	the	DET
easat-9474	578	66	noncommutativity	noncommutativity	NOUN
easat-9474	578	67	is	be	AUX
easat-9474	578	68	still	still	ADV
easat-9474	578	69	present	present	ADJ
easat-9474	578	70	in	in	ADP
easat-9474	578	71	the	the	DET
easat-9474	578	72	relations	relation	NOUN
easat-9474	578	73	(	(	PUNCT
easat-9474	578	74	2	2	NUM
easat-9474	578	75	)	)	PUNCT
easat-9474	578	76	and	and	CCONJ
easat-9474	578	77	(	(	PUNCT
easat-9474	578	78	8)	8)	NUM
easat-9474	578	79	.	.	NOUN
easat-9474	578	80	8	8	NUM
easat-9474	578	81	.	.	X
easat-9474	579	1	summary	summary	NOUN
easat-9474	579	2	and	and	CCONJ
easat-9474	579	3	results	result	NOUN
easat-9474	579	4	to	to	PART
easat-9474	579	5	conclude	conclude	VERB
easat-9474	579	6	,	,	PUNCT
easat-9474	579	7	we	we	PRON
easat-9474	579	8	have	have	AUX
easat-9474	579	9	investigated	investigate	VERB
easat-9474	579	10	the	the	DET
easat-9474	579	11	free	free	ADJ
easat-9474	579	12	open	open	ADJ
easat-9474	579	13	fermionic	fermionic	NOUN
easat-9474	579	14	string	string	NOUN
easat-9474	579	15	theory	theory	NOUN
easat-9474	579	16	in	in	ADP
easat-9474	579	17	a	a	DET
easat-9474	579	18	noncommutative	noncommutative	ADJ
easat-9474	579	19	target	target	NOUN
easat-9474	579	20	phase	phase	NOUN
easat-9474	579	21	-	-	PUNCT
easat-9474	579	22	space	space	NOUN
easat-9474	579	23	.	.	PUNCT
easat-9474	580	1	we	we	PRON
easat-9474	580	2	postulated	postulate	VERB
easat-9474	580	3	the	the	DET
easat-9474	580	4	noncommutation	noncommutation	NOUN
easat-9474	580	5	relations	relation	NOUN
easat-9474	580	6	(	(	PUNCT
easat-9474	580	7	2	2	NUM
easat-9474	580	8	)	)	PUNCT
easat-9474	580	9	and	and	CCONJ
easat-9474	580	10	derived	derive	VERB
easat-9474	580	11	the	the	DET
easat-9474	580	12	ones	one	NOUN
easat-9474	580	13	in	in	ADP
easat-9474	580	14	the	the	DET
easat-9474	580	15	paraquantum	paraquantum	NOUN
easat-9474	580	16	case	case	NOUN
easat-9474	580	17	(	(	PUNCT
easat-9474	580	18	34	34	NUM
easat-9474	580	19	)	)	PUNCT
easat-9474	580	20	.	.	PUNCT
easat-9474	581	1	we	we	PRON
easat-9474	581	2	found	find	VERB
easat-9474	581	3	that	that	SCONJ
easat-9474	581	4	the	the	DET
easat-9474	581	5	modification	modification	NOUN
easat-9474	581	6	in	in	ADP
easat-9474	581	7	the	the	DET
easat-9474	581	8	commutation	commutation	NOUN
easat-9474	581	9	relations	relation	NOUN
easat-9474	581	10	in	in	ADP
easat-9474	581	11	terms	term	NOUN
easat-9474	581	12	of	of	ADP
easat-9474	581	13	oscillating	oscillate	VERB
easat-9474	581	14	modes	mode	NOUN
easat-9474	581	15	introduce	introduce	VERB
easat-9474	581	16	a	a	DET
easat-9474	581	17	new	new	ADJ
easat-9474	581	18	anomaly	anomaly	NOUN
easat-9474	581	19	terms	term	NOUN
easat-9474	581	20	in	in	ADP
easat-9474	581	21	the	the	DET
easat-9474	581	22	neuveu	neuveu	NOUN
easat-9474	581	23	-	-	PUNCT
easat-9474	581	24	schwarz	schwarz	NOUN
easat-9474	581	25	and	and	CCONJ
easat-9474	581	26	ramond	ramond	ADJ
easat-9474	581	27	virasoro	virasoro	NOUN
easat-9474	581	28	super	super	NOUN
easat-9474	581	29	-	-	NOUN
easat-9474	581	30	algebras	algebras	X
easat-9474	581	31	.	.	PUNCT
easat-9474	582	1	the	the	DET
easat-9474	582	2	lorentz	lorentz	PROPN
easat-9474	582	3	covariance	covariance	NOUN
easat-9474	582	4	is	be	AUX
easat-9474	582	5	affected	affect	VERB
easat-9474	582	6	by	by	ADP
easat-9474	582	7	the	the	DET
easat-9474	582	8	noncommutativity	noncommutativity	NOUN
easat-9474	582	9	and	and	CCONJ
easat-9474	582	10	the	the	DET
easat-9474	582	11	mass	mass	NOUN
easat-9474	582	12	operator	operator	NOUN
easat-9474	582	13	becomes	become	VERB
easat-9474	582	14	non	non	ADJ
easat-9474	582	15	-	-	ADJ
easat-9474	582	16	diagonal	diagonal	ADJ
easat-9474	582	17	in	in	ADP
easat-9474	582	18	the	the	DET
easat-9474	582	19	usual	usual	ADJ
easat-9474	582	20	fock	fock	ADJ
easat-9474	582	21	space	space	NOUN
easat-9474	582	22	.	.	PUNCT
easat-9474	583	1	a	a	DET
easat-9474	583	2	redefinition	redefinition	NOUN
easat-9474	583	3	of	of	ADP
easat-9474	583	4	this	this	DET
easat-9474	583	5	latter	latter	NOUN
easat-9474	583	6	is	be	AUX
easat-9474	583	7	possible	possible	ADJ
easat-9474	583	8	and	and	CCONJ
easat-9474	583	9	a	a	DET
easat-9474	583	10	diagonalized	diagonalize	VERB
easat-9474	583	11	mass	mass	NOUN
easat-9474	583	12	operator	operator	NOUN
easat-9474	583	13	is	be	AUX
easat-9474	583	14	obtained	obtain	VERB
easat-9474	583	15	.	.	PUNCT
easat-9474	584	1	we	we	PRON
easat-9474	584	2	then	then	ADV
easat-9474	584	3	imposed	impose	VERB
easat-9474	584	4	specific	specific	ADJ
easat-9474	584	5	constraints	constraint	NOUN
easat-9474	584	6	on	on	ADP
easat-9474	584	7	the	the	DET
easat-9474	584	8	noncommutativity	noncommutativity	NOUN
easat-9474	584	9	parameters	parameter	NOUN
easat-9474	584	10	θµν	θµν	NOUN
easat-9474	584	11	and	and	CCONJ
easat-9474	584	12	γµν	γµν	NOUN
easat-9474	584	13	to	to	PART
easat-9474	584	14	cancel	cancel	VERB
easat-9474	584	15	the	the	DET
easat-9474	584	16	anomaly	anomaly	NOUN
easat-9474	584	17	terms	term	NOUN
easat-9474	584	18	and	and	CCONJ
easat-9474	584	19	recover	recover	VERB
easat-9474	584	20	the	the	DET
easat-9474	584	21	standard	standard	ADJ
easat-9474	584	22	mass	mass	NOUN
easat-9474	584	23	spectrum	spectrum	NOUN
easat-9474	584	24	.	.	PUNCT
easat-9474	585	1	under	under	ADP
easat-9474	585	2	these	these	DET
easat-9474	585	3	conditions	condition	NOUN
easat-9474	585	4	,	,	PUNCT
easat-9474	585	5	the	the	DET
easat-9474	585	6	gso	gso	PROPN
easat-9474	585	7	projection	projection	NOUN
easat-9474	585	8	becomes	become	VERB
easat-9474	585	9	applicable	applicable	ADJ
easat-9474	585	10	,	,	PUNCT
easat-9474	585	11	allowing	allow	VERB
easat-9474	585	12	for	for	ADP
easat-9474	585	13	the	the	DET
easat-9474	585	14	restoration	restoration	NOUN
easat-9474	585	15	of	of	ADP
easat-9474	585	16	spacetime	spacetime	ADJ
easat-9474	585	17	supersymmetry	supersymmetry	NOUN
easat-9474	585	18	.	.	PUNCT
easat-9474	586	1	finally	finally	ADV
easat-9474	586	2	,	,	PUNCT
easat-9474	586	3	to	to	PART
easat-9474	586	4	recover	recover	VERB
easat-9474	586	5	lorentz	lorentz	PROPN
easat-9474	586	6	invariance	invariance	NOUN
easat-9474	586	7	,	,	PUNCT
easat-9474	586	8	we	we	PRON
easat-9474	586	9	required	require	VERB
easat-9474	586	10	the	the	DET
easat-9474	586	11	vanishing	vanishing	NOUN
easat-9474	586	12	of	of	ADP
easat-9474	586	13	the	the	DET
easat-9474	586	14	zero	zero	NUM
easat-9474	586	15	modes	mode	NOUN
easat-9474	586	16	of	of	ADP
easat-9474	586	17	the	the	DET
easat-9474	586	18	noncommutativity	noncommutativity	NOUN
easat-9474	586	19	parameters	parameter	NOUN
easat-9474	586	20	,	,	PUNCT
easat-9474	586	21	namely	namely	ADV
easat-9474	586	22	γ0	γ0	VERB
easat-9474	586	23	µν	µν	ADP
easat-9474	586	24	=	=	SYM
easat-9474	586	25	0	0	NUM
easat-9474	586	26	and	and	CCONJ
easat-9474	586	27	θ0	θ0	PROPN
easat-9474	586	28	µν	µν	PROPN
easat-9474	586	29	=	=	NOUN
easat-9474	586	30	0	0	PROPN
easat-9474	586	31	.	.	PUNCT
easat-9474	587	1	as	as	ADP
easat-9474	587	2	a	a	DET
easat-9474	587	3	result	result	NOUN
easat-9474	587	4	,	,	PUNCT
easat-9474	587	5	equations	equation	NOUN
easat-9474	587	6	(	(	PUNCT
easat-9474	587	7	27	27	NUM
easat-9474	587	8	)	)	PUNCT
easat-9474	587	9	,	,	PUNCT
easat-9474	587	10	(	(	PUNCT
easat-9474	587	11	28	28	NUM
easat-9474	587	12	)	)	PUNCT
easat-9474	587	13	,	,	PUNCT
easat-9474	587	14	and	and	CCONJ
easat-9474	587	15	(	(	PUNCT
easat-9474	587	16	29	29	NUM
easat-9474	587	17	)	)	PUNCT
easat-9474	587	18	reduce	reduce	VERB
easat-9474	587	19	to	to	ADP
easat-9474	587	20	their	their	PRON
easat-9474	587	21	standard	standard	ADJ
easat-9474	587	22	forms	form	NOUN
easat-9474	587	23	,	,	PUNCT
easat-9474	587	24	while	while	SCONJ
easat-9474	587	25	noncommutativity	noncommutativity	NOUN
easat-9474	587	26	still	still	ADV
easat-9474	587	27	remains	remain	VERB
easat-9474	587	28	encoded	encode	VERB
easat-9474	587	29	in	in	ADP
easat-9474	587	30	equations	equation	NOUN
easat-9474	587	31	(	(	PUNCT
easat-9474	587	32	2	2	NUM
easat-9474	587	33	)	)	PUNCT
easat-9474	587	34	and	and	CCONJ
easat-9474	587	35	(	(	PUNCT
easat-9474	587	36	8)	8)	NUM
easat-9474	587	37	.	.	NOUN
easat-9474	588	1	overall	overall	ADJ
easat-9474	588	2	,	,	PUNCT
easat-9474	588	3	our	our	PRON
easat-9474	588	4	analysis	analysis	NOUN
easat-9474	588	5	shows	show	VERB
easat-9474	588	6	complete	complete	ADJ
easat-9474	588	7	consistency	consistency	NOUN
easat-9474	588	8	between	between	ADP
easat-9474	588	9	the	the	DET
easat-9474	588	10	results	result	NOUN
easat-9474	588	11	obtained	obtain	VERB
easat-9474	588	12	from	from	ADP
easat-9474	588	13	standard	standard	ADJ
easat-9474	588	14	quantization	quantization	NOUN
easat-9474	588	15	and	and	CCONJ
easat-9474	588	16	those	those	PRON
easat-9474	588	17	from	from	ADP
easat-9474	588	18	the	the	DET
easat-9474	588	19	paraquantum	paraquantum	NOUN
easat-9474	588	20	approach	approach	NOUN
easat-9474	588	21	.	.	PUNCT
easat-9474	589	1	(	(	PUNCT
easat-9474	589	2	)	)	PUNCT
easat-9474	589	3	2	2	NUM
easat-9474	589	4	(	(	PUNCT
easat-9474	589	5	)	)	PUNCT
easat-9474	589	6	(	(	PUNCT
easat-9474	589	7	)	)	SYM
easat-9474	589	8	2	2	NUM
easat-9474	589	9	2	2	NUM
easat-9474	589	10	m	m	NOUN
easat-9474	589	11	m	m	VERB
easat-9474	589	12	m	m	ADJ
easat-9474	589	13			ADJ
easat-9474	589	14			PROPN
easat-9474	590	1			PROPN
easat-9474	590	2	−	−	PROPN
easat-9474	591	1	=	=	PUNCT
easat-9474	591	2			ADJ
easat-9474	591	3	(	(	PUNCT
easat-9474	591	4	58	58	NUM
easat-9474	591	5	)	)	PUNCT
easat-9474	591	6	(	(	PUNCT
easat-9474	591	7	)	)	PUNCT
easat-9474	591	8	(	(	PUNCT
easat-9474	591	9	)	)	PUNCT
easat-9474	591	10	2	2	NUM
easat-9474	591	11	0	0	NUM
easat-9474	591	12	0	0	NUM
easat-9474	591	13	0	0	NUM
easat-9474	591	14	0	0	NUM
easat-9474	591	15	0	0	NUM
easat-9474	591	16	0	0	NUM
easat-9474	591	17	0	0	NUM
easat-9474	591	18	02	02	NUM
easat-9474	591	19	0	0	NUM
easat-9474	591	20	0	0	NUM
easat-9474	591	21	0	0	NUM
easat-9474	591	22	0	0	NUM
easat-9474	591	23	2	2	NUM
easat-9474	591	24	2	2	NUM
easat-9474	591	25	2	2	NUM
easat-9474	591	26	0	0	NUM
easat-9474	591	27	0	0	NUM
easat-9474	591	28	2	2	NUM
easat-9474	591	29	2	2	NUM
easat-9474	591	30	2	2	NUM
easat-9474	591	31	0	0	NUM
easat-9474	591	32	0	0	NUM
easat-9474	591	33	0	0	NUM
easat-9474	591	34	2	2	NUM
easat-9474	591	35	4	4	NUM
easat-9474	591	36	4	4	NUM
easat-9474	591	37	4	4	NUM
easat-9474	591	38	x	x	NOUN
easat-9474	591	39	x	x	SYM
easat-9474	591	40	x	x	PUNCT
easat-9474	591	41	x	x	X
easat-9474	591	42	t	t	NOUN
easat-9474	592	1	i	i	NOUN
easat-9474	592	2	x	x	X
easat-9474	593	1	x	x	PUNCT
easat-9474	593	2	x	x	PUNCT
easat-9474	593	3	x	x	X
easat-9474	593	4	x	x	X
easat-9474	593	5	p	p	X
easat-9474	593	6	x	x	X
easat-9474	593	7	p	p	X
easat-9474	593	8	x	x	X
easat-9474	593	9	p	p	X
easat-9474	593	10	x	x	X
easat-9474	593	11	p	p	X
easat-9474	594	1	i	i	NOUN
easat-9474	594	2	x	x	PROPN
easat-9474	594	3	p	p	X
easat-9474	594	4	x	x	X
easat-9474	594	5	p	p	X
easat-9474	594	6	x	x	X
easat-9474	594	7	p	p	X
easat-9474	594	8	x	x	X
easat-9474	594	9	p	p	X
easat-9474	595	1	i	i	PRON
easat-9474	595	2	i	i	PRON
easat-9474	596	1	p	p	X
easat-9474	597	1	p	p	X
easat-9474	598	1	i	i	PRON
easat-9474	599	1	i	i	PRON
easat-9474	600	1	p	p	X
easat-9474	601	1	p	p	X
easat-9474	602	1	i	i	PRON
easat-9474	602	2	i	i	PRON
easat-9474	602	3			NOUN
easat-9474	602	4			NOUN
easat-9474	602	5			NOUN
easat-9474	602	6			NUM
easat-9474	602	7			NOUN
easat-9474	602	8			ADJ
easat-9474	602	9			PROPN
easat-9474	602	10			PROPN
easat-9474	602	11			NOUN
easat-9474	602	12			ADP
easat-9474	602	13			PROPN
easat-9474	602	14			X
easat-9474	602	15			ADJ
easat-9474	602	16			NOUN
easat-9474	602	17			NOUN
easat-9474	602	18			ADJ
easat-9474	602	19			NOUN
easat-9474	602	20			ADP
easat-9474	602	21			ADJ
easat-9474	602	22			NOUN
easat-9474	602	23			NOUN
easat-9474	602	24			ADP
easat-9474	602	25			PROPN
easat-9474	602	26			X
easat-9474	602	27			PROPN
easat-9474	602	28			PROPN
easat-9474	602	29			X
easat-9474	602	30			ADJ
easat-9474	602	31			NOUN
easat-9474	602	32			ADP
easat-9474	602	33			NOUN
easat-9474	602	34			PROPN
easat-9474	602	35			NOUN
easat-9474	602	36			ADP
easat-9474	602	37			ADJ
easat-9474	602	38			X
easat-9474	602	39			NOUN
easat-9474	603	1			PROPN
easat-9474	603	2			PROPN
easat-9474	603	3			X
easat-9474	603	4			PROPN
easat-9474	603	5			PROPN
easat-9474	603	6			PROPN
easat-9474	603	7			NOUN
easat-9474	603	8			NOUN
easat-9474	603	9			NOUN
easat-9474	603	10			NUM
easat-9474	603	11			NUM
easat-9474	603	12			PROPN
easat-9474	603	13			NUM
easat-9474	603	14			NUM
easat-9474	603	15			NUM
easat-9474	603	16			NUM
easat-9474	603	17			NUM
easat-9474	603	18			NUM
easat-9474	603	19			NUM
easat-9474	603	20			NOUN
easat-9474	603	21			PROPN
easat-9474	603	22			NUM
easat-9474	603	23			NUM
easat-9474	603	24			NUM
easat-9474	603	25			NUM
easat-9474	603	26			X
easat-9474	604	1			NOUN
easat-9474	604	2			X
easat-9474	604	3			PROPN
easat-9474	604	4			NUM
easat-9474	604	5			X
easat-9474	605	1			ADJ
easat-9474	605	2			X
easat-9474	605	3			PROPN
easat-9474	605	4			NUM
easat-9474	605	5			PROPN
easat-9474	605	6			NOUN
easat-9474	605	7	+	+	PROPN
easat-9474	605	8	=	=	SYM
easat-9474	605	9			PROPN
easat-9474	605	10			PROPN
easat-9474	606	1	+	+	CCONJ
easat-9474	606	2	+	+	ADJ
easat-9474	606	3			ADJ
easat-9474	606	4			NOUN
easat-9474	606	5			NOUN
easat-9474	606	6	−	−	NOUN
easat-9474	606	7			PROPN
easat-9474	606	8			PROPN
easat-9474	607	1	+	+	CCONJ
easat-9474	608	1	−	−	PROPN
easat-9474	608	2	+	+	PROPN
easat-9474	608	3	+	+	CCONJ
easat-9474	608	4			PROPN
easat-9474	608	5	+	+	PROPN
easat-9474	608	6	−	−	PROPN
easat-9474	608	7			PROPN
easat-9474	608	8			PROPN
easat-9474	609	1			PROPN
easat-9474	609	2	+	+	NOUN
easat-9474	609	3	−	−	PROPN
easat-9474	609	4			NOUN
easat-9474	609	5	−	−	PUNCT
easat-9474	609	6	+	+	NOUN
easat-9474	609	7	−	−	PROPN
easat-9474	610	1	+	+	CCONJ
easat-9474	610	2	−	−	PROPN
easat-9474	610	3	(	(	PUNCT
easat-9474	610	4	)	)	PUNCT
easat-9474	610	5	(	(	PUNCT
easat-9474	610	6	)	)	PUNCT
easat-9474	610	7	2	2	NUM
easat-9474	610	8	2	2	NUM
easat-9474	610	9	2	2	NUM
easat-9474	610	10	0	0	NUM
easat-9474	610	11	2	2	NUM
easat-9474	610	12	2	2	NUM
easat-9474	610	13	2	2	NUM
easat-9474	610	14	0	0	NUM
easat-9474	610	15	04	04	NUM
easat-9474	611	1	p	p	NOUN
easat-9474	611	2	p	p	X
easat-9474	612	1	i	i	PRON
easat-9474	612	2	i	i	PRON
easat-9474	613	1	p	p	X
easat-9474	613	2	p	p	X
easat-9474	613	3			NOUN
easat-9474	613	4			ADJ
easat-9474	613	5			NOUN
easat-9474	613	6			NOUN
easat-9474	613	7			NOUN
easat-9474	613	8			ADP
easat-9474	613	9			NOUN
easat-9474	613	10			NOUN
easat-9474	613	11			NOUN
easat-9474	613	12			X
easat-9474	613	13			NUM
easat-9474	613	14			X
easat-9474	614	1			ADJ
easat-9474	614	2			X
easat-9474	614	3			PROPN
easat-9474	614	4			NUM
easat-9474	614	5			ADJ
easat-9474	614	6	+	+	NOUN
easat-9474	614	7	−	−	PROPN
easat-9474	614	8	928	928	NUM
easat-9474	614	9	edelweiss	edelweiss	PROPN
easat-9474	614	10	applied	apply	VERB
easat-9474	614	11	science	science	NOUN
easat-9474	614	12	and	and	CCONJ
easat-9474	614	13	technology	technology	NOUN
easat-9474	614	14	issn	issn	PROPN
easat-9474	614	15	:	:	PUNCT
easat-9474	614	16	2576	2576	NUM
easat-9474	614	17	-	-	SYM
easat-9474	614	18	8484	8484	NUM
easat-9474	614	19	vol	vol	NOUN
easat-9474	614	20	.	.	PROPN
easat-9474	615	1	9	9	NUM
easat-9474	615	2	,	,	PUNCT
easat-9474	615	3	no	no	INTJ
easat-9474	615	4	.	.	NOUN
easat-9474	615	5	8	8	NUM
easat-9474	615	6	:	:	PUNCT
easat-9474	615	7	913	913	NUM
easat-9474	615	8	-	-	SYM
easat-9474	615	9	930	930	NUM
easat-9474	615	10	,	,	PUNCT
easat-9474	615	11	2025	2025	NUM
easat-9474	615	12	doi	doi	NOUN
easat-9474	615	13	:	:	PUNCT
easat-9474	615	14	10.55214/2576	10.55214/2576	NUM
easat-9474	615	15	-	-	PUNCT
easat-9474	615	16	8484.v9i8.9474	8484.v9i8.9474	NOUN
easat-9474	616	1	©	©	PROPN
easat-9474	616	2	2025	2025	NUM
easat-9474	616	3	by	by	ADP
easat-9474	616	4	the	the	DET
easat-9474	616	5	authors	author	NOUN
easat-9474	616	6	;	;	PUNCT
easat-9474	616	7	licensee	licensee	PROPN
easat-9474	616	8	learning	learning	PROPN
easat-9474	616	9	gate	gate	PROPN
easat-9474	616	10	funding	funding	PROPN
easat-9474	616	11	:	:	PUNCT
easat-9474	616	12	this	this	DET
easat-9474	616	13	work	work	NOUN
easat-9474	616	14	is	be	AUX
easat-9474	616	15	supported	support	VERB
easat-9474	616	16	by	by	ADP
easat-9474	616	17	the	the	DET
easat-9474	616	18	algerian	algerian	PROPN
easat-9474	616	19	ministry	ministry	PROPN
easat-9474	616	20	of	of	ADP
easat-9474	616	21	high	high	ADJ
easat-9474	616	22	education	education	NOUN
easat-9474	616	23	and	and	CCONJ
easat-9474	616	24	research	research	NOUN
easat-9474	616	25	under	under	ADP
easat-9474	616	26	the	the	DET
easat-9474	616	27	prfu	prfu	ADJ
easat-9474	616	28	project	project	NOUN
easat-9474	616	29	(	(	PUNCT
easat-9474	616	30	grant	grant	NOUN
easat-9474	616	31	number	number	NOUN
easat-9474	616	32	:	:	PUNCT
easat-9474	616	33	b00l02un250120220011	b00l02un250120220011	X
easat-9474	616	34	)	)	PUNCT
easat-9474	616	35	.	.	PUNCT
easat-9474	617	1	transparency	transparency	NOUN
easat-9474	617	2	:	:	PUNCT
easat-9474	617	3	the	the	DET
easat-9474	617	4	authors	author	NOUN
easat-9474	617	5	confirm	confirm	VERB
easat-9474	617	6	that	that	SCONJ
easat-9474	617	7	the	the	DET
easat-9474	617	8	manuscript	manuscript	NOUN
easat-9474	617	9	is	be	AUX
easat-9474	617	10	an	an	DET
easat-9474	617	11	honest	honest	ADJ
easat-9474	617	12	,	,	PUNCT
easat-9474	617	13	accurate	accurate	ADJ
easat-9474	617	14	,	,	PUNCT
easat-9474	617	15	and	and	CCONJ
easat-9474	617	16	transparent	transparent	ADJ
easat-9474	617	17	account	account	NOUN
easat-9474	617	18	of	of	ADP
easat-9474	617	19	the	the	DET
easat-9474	617	20	study	study	NOUN
easat-9474	617	21	;	;	PUNCT
easat-9474	617	22	that	that	SCONJ
easat-9474	617	23	no	no	DET
easat-9474	617	24	vital	vital	ADJ
easat-9474	617	25	features	feature	NOUN
easat-9474	617	26	of	of	ADP
easat-9474	617	27	the	the	DET
easat-9474	617	28	study	study	NOUN
easat-9474	617	29	have	have	AUX
easat-9474	617	30	been	be	AUX
easat-9474	617	31	omitted	omit	VERB
easat-9474	617	32	;	;	PUNCT
easat-9474	617	33	and	and	CCONJ
easat-9474	617	34	that	that	SCONJ
easat-9474	617	35	any	any	DET
easat-9474	617	36	discrepancies	discrepancy	NOUN
easat-9474	617	37	from	from	ADP
easat-9474	617	38	the	the	DET
easat-9474	617	39	study	study	NOUN
easat-9474	617	40	as	as	SCONJ
easat-9474	617	41	planned	plan	VERB
easat-9474	617	42	have	have	AUX
easat-9474	617	43	been	be	AUX
easat-9474	617	44	explained	explain	VERB
easat-9474	617	45	.	.	PUNCT
easat-9474	618	1	this	this	DET
easat-9474	618	2	study	study	NOUN
easat-9474	618	3	followed	follow	VERB
easat-9474	618	4	all	all	DET
easat-9474	618	5	ethical	ethical	ADJ
easat-9474	618	6	practices	practice	NOUN
easat-9474	618	7	during	during	ADP
easat-9474	618	8	writing	writing	NOUN
easat-9474	618	9	.	.	PUNCT
easat-9474	619	1	copyright	copyright	NOUN
easat-9474	619	2	:	:	PUNCT
easat-9474	619	3	©	©	PROPN
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easat-9474	619	5	by	by	ADP
easat-9474	619	6	the	the	DET
easat-9474	619	7	authors	author	NOUN
easat-9474	619	8	.	.	PUNCT
easat-9474	620	1	this	this	DET
easat-9474	620	2	open	open	ADJ
easat-9474	620	3	-	-	PUNCT
easat-9474	620	4	access	access	NOUN
easat-9474	620	5	article	article	NOUN
easat-9474	620	6	is	be	AUX
easat-9474	620	7	distributed	distribute	VERB
easat-9474	620	8	under	under	ADP
easat-9474	620	9	the	the	DET
easat-9474	620	10	terms	term	NOUN
easat-9474	620	11	and	and	CCONJ
easat-9474	620	12	conditions	condition	NOUN
easat-9474	620	13	of	of	ADP
easat-9474	620	14	the	the	DET
easat-9474	620	15	creative	creative	ADJ
easat-9474	620	16	commons	common	NOUN
easat-9474	620	17	attribution	attribution	NOUN
easat-9474	620	18	(	(	PUNCT
easat-9474	620	19	cc	cc	NOUN
easat-9474	620	20	by	by	ADP
easat-9474	620	21	)	)	PUNCT
easat-9474	620	22	license	license	NOUN
easat-9474	620	23	(	(	PUNCT
easat-9474	620	24	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
easat-9474	620	25	)	)	PUNCT
easat-9474	620	26	.	.	PUNCT
easat-9474	621	1	references	reference	NOUN
easat-9474	621	2	[	[	X
easat-9474	621	3	1	1	X
easat-9474	621	4	]	]	PUNCT
easat-9474	621	5	e.	e.	PROPN
easat-9474	621	6	p.	p.	PROPN
easat-9474	621	7	wigner	wigner	NOUN
easat-9474	621	8	,	,	PUNCT
easat-9474	621	9	"	"	PUNCT
easat-9474	621	10	do	do	AUX
easat-9474	621	11	the	the	DET
easat-9474	621	12	equations	equation	NOUN
easat-9474	621	13	of	of	ADP
easat-9474	621	14	motion	motion	NOUN
easat-9474	621	15	determine	determine	VERB
easat-9474	621	16	the	the	DET
easat-9474	621	17	quantum	quantum	ADJ
easat-9474	621	18	mechanical	mechanical	ADJ
easat-9474	621	19	commutation	commutation	NOUN
easat-9474	621	20	relations	relation	NOUN
easat-9474	621	21	?	?	PUNCT
easat-9474	621	22	,	,	PUNCT
easat-9474	621	23	"	"	PUNCT
easat-9474	621	24	physical	physical	ADJ
easat-9474	621	25	review	review	NOUN
easat-9474	621	26	,	,	PUNCT
easat-9474	621	27	vol	vol	NOUN
easat-9474	621	28	.	.	PROPN
easat-9474	622	1	77	77	NUM
easat-9474	622	2	,	,	PUNCT
easat-9474	622	3	no	no	INTJ
easat-9474	622	4	.	.	NOUN
easat-9474	622	5	5	5	NUM
easat-9474	622	6	,	,	PUNCT
easat-9474	622	7	pp	pp	ADJ
easat-9474	622	8	.	.	PUNCT
easat-9474	623	1	711	711	NUM
easat-9474	623	2	-	-	SYM
easat-9474	623	3	712	712	NUM
easat-9474	623	4	,	,	PUNCT
easat-9474	623	5	1950	1950	NUM
easat-9474	623	6	.	.	PUNCT
easat-9474	624	1	https://doi.org/10.1103/physrev.77.711	https://doi.org/10.1103/physrev.77.711	VERB
easat-9474	624	2	[	[	X
easat-9474	624	3	2	2	NUM
easat-9474	624	4	]	]	PUNCT
easat-9474	624	5	h.	h.	PROPN
easat-9474	624	6	s.	s.	PROPN
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easat-9474	624	8	,	,	PUNCT
easat-9474	624	9	"	"	PUNCT
easat-9474	624	10	a	a	DET
easat-9474	624	11	generalized	generalized	ADJ
easat-9474	624	12	method	method	NOUN
easat-9474	624	13	of	of	ADP
easat-9474	624	14	field	field	NOUN
easat-9474	624	15	quantization	quantization	NOUN
easat-9474	624	16	,	,	PUNCT
easat-9474	624	17	"	"	PUNCT
easat-9474	624	18	physical	physical	ADJ
easat-9474	624	19	review	review	NOUN
easat-9474	624	20	,	,	PUNCT
easat-9474	624	21	vol	vol	NOUN
easat-9474	624	22	.	.	PROPN
easat-9474	625	1	90	90	NUM
easat-9474	625	2	,	,	PUNCT
easat-9474	625	3	no	no	INTJ
easat-9474	625	4	.	.	NOUN
easat-9474	625	5	2	2	NUM
easat-9474	625	6	,	,	PUNCT
easat-9474	625	7	pp	pp	ADJ
easat-9474	625	8	.	.	PUNCT
easat-9474	626	1	270	270	NUM
easat-9474	626	2	-	-	SYM
easat-9474	626	3	273	273	NUM
easat-9474	626	4	,	,	PUNCT
easat-9474	626	5	1953	1953	NUM
easat-9474	626	6	.	.	PUNCT
easat-9474	627	1	https://doi.org/10.1103/physrev.90.270	https://doi.org/10.1103/physrev.90.270	NOUN
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easat-9474	628	2	3	3	X
easat-9474	628	3	]	]	X
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easat-9474	628	5	ardalan	ardalan	PROPN
easat-9474	628	6	and	and	CCONJ
easat-9474	628	7	f.	f.	PROPN
easat-9474	628	8	mansouri	mansouri	PROPN
easat-9474	628	9	,	,	PUNCT
easat-9474	628	10	"	"	PUNCT
easat-9474	628	11	critical	critical	ADJ
easat-9474	628	12	dimensions	dimension	NOUN
easat-9474	628	13	of	of	ADP
easat-9474	628	14	parastrings	parastring	NOUN
easat-9474	628	15	,	,	PUNCT
easat-9474	628	16	"	"	PUNCT
easat-9474	628	17	physics	physics	NOUN
easat-9474	628	18	letters	letters	PROPN
easat-9474	628	19	b	b	PROPN
easat-9474	628	20	,	,	PUNCT
easat-9474	628	21	vol	vol	NOUN
easat-9474	628	22	.	.	NOUN
easat-9474	628	23	176	176	NUM
easat-9474	628	24	,	,	PUNCT
easat-9474	628	25	no	no	INTJ
easat-9474	628	26	.	.	NOUN
easat-9474	628	27	1	1	NUM
easat-9474	628	28	,	,	PUNCT
easat-9474	628	29	pp	pp	ADJ
easat-9474	628	30	.	.	PUNCT
easat-9474	629	1	99	99	NUM
easat-9474	629	2	-	-	SYM
easat-9474	629	3	102	102	NUM
easat-9474	629	4	,	,	PUNCT
easat-9474	629	5	1986	1986	NUM
easat-9474	629	6	.	.	PUNCT
easat-9474	630	1	https://doi.org/10.1016/0370-2693(86)90931-7	https://doi.org/10.1016/0370-2693(86)90931-7	PUNCT
easat-9474	630	2	[	[	X
easat-9474	630	3	4	4	X
easat-9474	630	4	]	]	X
easat-9474	630	5	n.	n.	NOUN
easat-9474	630	6	belaloui	belaloui	PROPN
easat-9474	630	7	and	and	CCONJ
easat-9474	630	8	h.	h.	PROPN
easat-9474	630	9	bennacer	bennacer	PROPN
easat-9474	630	10	,	,	PUNCT
easat-9474	630	11	"	"	PUNCT
easat-9474	630	12	poincaré	poincaré	PROPN
easat-9474	630	13	algebra	algebra	PROPN
easat-9474	630	14	and	and	CCONJ
easat-9474	630	15	space	space	NOUN
easat-9474	630	16	-	-	PUNCT
easat-9474	630	17	time	time	NOUN
easat-9474	630	18	critical	critical	ADJ
easat-9474	630	19	dimensions	dimension	NOUN
easat-9474	630	20	for	for	ADP
easat-9474	630	21	parabosonic	parabosonic	ADJ
easat-9474	630	22	strings	string	NOUN
easat-9474	630	23	,	,	PUNCT
easat-9474	630	24	"	"	PUNCT
easat-9474	630	25	czechoslovak	czechoslovak	ADJ
easat-9474	630	26	journal	journal	NOUN
easat-9474	630	27	of	of	ADP
easat-9474	630	28	physics	physics	PROPN
easat-9474	630	29	,	,	PUNCT
easat-9474	630	30	vol	vol	NOUN
easat-9474	630	31	.	.	PROPN
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easat-9474	631	2	,	,	PUNCT
easat-9474	631	3	no	no	INTJ
easat-9474	631	4	.	.	NOUN
easat-9474	631	5	9	9	NUM
easat-9474	631	6	,	,	PUNCT
easat-9474	631	7	pp	pp	ADJ
easat-9474	631	8	.	.	PUNCT
easat-9474	632	1	769	769	NUM
easat-9474	632	2	-	-	SYM
easat-9474	632	3	783	783	NUM
easat-9474	632	4	,	,	PUNCT
easat-9474	632	5	2003	2003	NUM
easat-9474	632	6	.	.	PUNCT
easat-9474	633	1	https://doi.org/10.1023/a:1025970432658	https://doi.org/10.1023/a:1025970432658	NOUN
easat-9474	633	2	[	[	X
easat-9474	633	3	5	5	NUM
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easat-9474	633	5	n.	n.	NOUN
easat-9474	633	6	belaloui	belaloui	PROPN
easat-9474	633	7	and	and	CCONJ
easat-9474	633	8	h.	h.	PROPN
easat-9474	633	9	bennacer	bennacer	PROPN
easat-9474	633	10	,	,	PUNCT
easat-9474	633	11	"	"	PUNCT
easat-9474	633	12	poincaré	poincaré	PROPN
easat-9474	633	13	algebra	algebra	PROPN
easat-9474	633	14	and	and	CCONJ
easat-9474	633	15	space	space	NOUN
easat-9474	633	16	-	-	PUNCT
easat-9474	633	17	time	time	NOUN
easat-9474	633	18	critical	critical	ADJ
easat-9474	633	19	dimensions	dimension	NOUN
easat-9474	633	20	for	for	ADP
easat-9474	633	21	paraspinnings	paraspinning	NOUN
easat-9474	633	22	strings	string	NOUN
easat-9474	633	23	,	,	PUNCT
easat-9474	633	24	"	"	PUNCT
easat-9474	633	25	czechoslovak	czechoslovak	ADJ
easat-9474	633	26	journal	journal	NOUN
easat-9474	633	27	of	of	ADP
easat-9474	633	28	physics	physics	PROPN
easat-9474	633	29	,	,	PUNCT
easat-9474	633	30	vol	vol	NOUN
easat-9474	633	31	.	.	PROPN
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easat-9474	633	35	.	.	NOUN
easat-9474	633	36	6	6	NUM
easat-9474	633	37	,	,	PUNCT
easat-9474	633	38	pp	pp	ADJ
easat-9474	633	39	.	.	PUNCT
easat-9474	634	1	621	621	NUM
easat-9474	634	2	-	-	SYM
easat-9474	634	3	632	632	NUM
easat-9474	634	4	,	,	PUNCT
easat-9474	634	5	2004	2004	NUM
easat-9474	634	6	.	.	PUNCT
easat-9474	635	1	https://doi.org/10.1023/b:cjop.0000029691.20924.71	https://doi.org/10.1023/b:cjop.0000029691.20924.71	PUNCT
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easat-9474	636	4	l.	l.	PROPN
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easat-9474	636	6	and	and	CCONJ
easat-9474	636	7	n.	n.	PROPN
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easat-9474	636	10	"	"	PUNCT
easat-9474	636	11	low	low	ADJ
easat-9474	636	12	-	-	PUNCT
easat-9474	636	13	energy	energy	NOUN
easat-9474	636	14	parabosonic	parabosonic	ADJ
easat-9474	636	15	membrane	membrane	NOUN
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easat-9474	636	24	"	"	PUNCT
easat-9474	636	25	brazilian	brazilian	ADJ
easat-9474	636	26	journal	journal	NOUN
easat-9474	636	27	of	of	ADP
easat-9474	636	28	physics	physics	PROPN
easat-9474	636	29	,	,	PUNCT
easat-9474	636	30	vol	vol	NOUN
easat-9474	636	31	.	.	PROPN
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easat-9474	636	36	4	4	NUM
easat-9474	636	37	,	,	PUNCT
easat-9474	636	38	pp	pp	ADJ
easat-9474	636	39	.	.	PUNCT
easat-9474	637	1	652	652	NUM
easat-9474	637	2	-	-	SYM
easat-9474	637	3	662	662	NUM
easat-9474	637	4	,	,	PUNCT
easat-9474	637	5	2009	2009	NUM
easat-9474	637	6	.	.	PUNCT
easat-9474	638	1	https://doi.org/10.1590/s010397332009000600007	https://doi.org/10.1590/s010397332009000600007	PRON
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easat-9474	639	3	]	]	PUNCT
easat-9474	639	4	s.	s.	PROPN
easat-9474	639	5	s.	s.	PROPN
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easat-9474	639	7	-	-	PUNCT
easat-9474	639	8	zadeh	zadeh	PROPN
easat-9474	639	9	mousavi	mousavi	PROPN
easat-9474	639	10	,	,	PUNCT
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easat-9474	639	12	generalization	generalization	NOUN
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easat-9474	639	18	bosonic	bosonic	PROPN
easat-9474	639	19	string	string	PROPN
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easat-9474	639	21	,	,	PUNCT
easat-9474	639	22	"	"	PUNCT
easat-9474	639	23	international	international	ADJ
easat-9474	639	24	journal	journal	NOUN
easat-9474	639	25	of	of	ADP
easat-9474	639	26	theoretical	theoretical	ADJ
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easat-9474	639	28	,	,	PUNCT
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easat-9474	639	36	,	,	PUNCT
easat-9474	639	37	pp	pp	ADJ
easat-9474	639	38	.	.	PUNCT
easat-9474	640	1	2068	2068	NUM
easat-9474	640	2	-	-	SYM
easat-9474	640	3	2071	2071	NUM
easat-9474	640	4	,	,	PUNCT
easat-9474	640	5	2009	2009	NUM
easat-9474	640	6	.	.	PUNCT
easat-9474	641	1	https://doi.org/10.1007/s10773-009-9983-3	https://doi.org/10.1007/s10773-009-9983-3	X
easat-9474	642	1	[	[	X
easat-9474	642	2	8	8	NUM
easat-9474	642	3	]	]	PUNCT
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easat-9474	642	8	n.	n.	PROPN
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easat-9474	642	18	time	time	NOUN
easat-9474	642	19	,	,	PUNCT
easat-9474	642	20	"	"	PUNCT
easat-9474	642	21	international	international	ADJ
easat-9474	642	22	journal	journal	NOUN
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easat-9474	642	27	,	,	PUNCT
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easat-9474	642	31	,	,	PUNCT
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easat-9474	642	33	.	.	NOUN
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easat-9474	642	35	,	,	PUNCT
easat-9474	642	36	p.	p.	NOUN
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easat-9474	642	38	,	,	PUNCT
easat-9474	642	39	2015	2015	NUM
easat-9474	642	40	.	.	PUNCT
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easat-9474	643	2	9	9	NUM
easat-9474	643	3	]	]	X
easat-9474	643	4	d.	d.	PROPN
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easat-9474	643	6	and	and	CCONJ
easat-9474	643	7	n.	n.	PROPN
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easat-9474	643	12	and	and	CCONJ
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easat-9474	643	17	strings	string	NOUN
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easat-9474	643	22	-	-	PUNCT
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easat-9474	643	24	,	,	PUNCT
easat-9474	643	25	"	"	PUNCT
easat-9474	643	26	international	international	ADJ
easat-9474	643	27	journal	journal	NOUN
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easat-9474	643	30	physics	physics	PROPN
easat-9474	643	31	a	a	PRON
easat-9474	643	32	,	,	PUNCT
easat-9474	643	33	vol	vol	NOUN
easat-9474	643	34	.	.	PROPN
easat-9474	644	1	33	33	NUM
easat-9474	644	2	,	,	PUNCT
easat-9474	644	3	no	no	INTJ
easat-9474	644	4	.	.	NOUN
easat-9474	644	5	08	08	NUM
easat-9474	644	6	,	,	PUNCT
easat-9474	644	7	p.	p.	NOUN
easat-9474	644	8	1850048	1850048	NUM
easat-9474	644	9	,	,	PUNCT
easat-9474	644	10	2018	2018	NUM
easat-9474	644	11	.	.	PUNCT
easat-9474	645	1	https://doi.org/10.1142/s0217751x18500483	https://doi.org/10.1142/s0217751x18500483	NOUN
easat-9474	646	1	[	[	X
easat-9474	646	2	10	10	NUM
easat-9474	646	3	]	]	X
easat-9474	646	4	d.	d.	PROPN
easat-9474	646	5	hammam	hammam	PROPN
easat-9474	646	6	and	and	CCONJ
easat-9474	646	7	n.	n.	PROPN
easat-9474	646	8	belaloui	belaloui	PROPN
easat-9474	646	9	,	,	PUNCT
easat-9474	646	10	"	"	PUNCT
easat-9474	646	11	open	open	ADJ
easat-9474	646	12	fermionic	fermionic	NOUN
easat-9474	646	13	strings	string	NOUN
easat-9474	646	14	in	in	ADP
easat-9474	646	15	the	the	DET
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easat-9474	646	17	of	of	ADP
easat-9474	646	18	d	d	NOUN
easat-9474	646	19	-	-	PUNCT
easat-9474	646	20	branes	brane	NOUN
easat-9474	646	21	in	in	ADP
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easat-9474	646	24	formalism	formalism	NOUN
easat-9474	646	25	,	,	PUNCT
easat-9474	646	26	"	"	PUNCT
easat-9474	646	27	ph.d	ph.d	PROPN
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easat-9474	647	2	,	,	PUNCT
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easat-9474	647	4	,	,	PUNCT
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easat-9474	647	6	.	.	PUNCT
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easat-9474	648	2	11	11	NUM
easat-9474	648	3	]	]	PUNCT
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easat-9474	648	5	a.	a.	PROPN
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easat-9474	648	7	and	and	CCONJ
easat-9474	648	8	n.	n.	PROPN
easat-9474	648	9	belaloui	belaloui	PROPN
easat-9474	648	10	,	,	PUNCT
easat-9474	648	11	"	"	PUNCT
easat-9474	648	12	non	non	ADJ
easat-9474	648	13	-	-	ADJ
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easat-9474	648	19	in	in	ADP
easat-9474	648	20	fermionic	fermionic	PROPN
easat-9474	648	21	string	string	NOUN
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easat-9474	648	23	,	,	PUNCT
easat-9474	648	24	"	"	PUNCT
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easat-9474	648	28	,	,	PUNCT
easat-9474	648	29	2023	2023	NUM
easat-9474	648	30	.	.	PUNCT
easat-9474	649	1	https://arxiv.org/abs/2307.07060	https://arxiv.org/abs/2307.07060	NOUN
easat-9474	650	1	[	[	X
easat-9474	650	2	12	12	NUM
easat-9474	650	3	]	]	PUNCT
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easat-9474	650	5	aschieri	aschieri	PROPN
easat-9474	650	6	,	,	PUNCT
easat-9474	650	7	f.	f.	PROPN
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easat-9474	650	9	,	,	PUNCT
easat-9474	650	10	e.	e.	PROPN
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easat-9474	650	12	,	,	PUNCT
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easat-9474	650	14	a.	a.	NOUN
easat-9474	650	15	sitarz	sitarz	PROPN
easat-9474	650	16	,	,	PUNCT
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easat-9474	650	19	geometry	geometry	NOUN
easat-9474	650	20	in	in	ADP
easat-9474	650	21	physics	physics	NOUN
easat-9474	650	22	,	,	PUNCT
easat-9474	650	23	"	"	PUNCT
easat-9474	650	24	journal	journal	NOUN
easat-9474	650	25	of	of	ADP
easat-9474	650	26	physics	physics	PROPN
easat-9474	651	1	a	a	PRON
easat-9474	651	2	:	:	PUNCT
easat-9474	651	3	mathematical	mathematical	ADJ
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easat-9474	651	5	theoretical	theoretical	ADJ
easat-9474	651	6	,	,	PUNCT
easat-9474	651	7	vol	vol	NOUN
easat-9474	651	8	.	.	PROPN
easat-9474	652	1	56	56	NUM
easat-9474	652	2	,	,	PUNCT
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easat-9474	652	4	.	.	NOUN
easat-9474	652	5	5	5	NUM
easat-9474	652	6	,	,	PUNCT
easat-9474	652	7	p.	p.	NOUN
easat-9474	652	8	350201	350201	NUM
easat-9474	652	9	,	,	PUNCT
easat-9474	652	10	2023	2023	NUM
easat-9474	652	11	.	.	PUNCT
easat-9474	653	1	[	[	X
easat-9474	653	2	13	13	NUM
easat-9474	653	3	]	]	X
easat-9474	653	4	d.	d.	PROPN
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easat-9474	653	6	,	,	PUNCT
easat-9474	653	7	"	"	PUNCT
easat-9474	653	8	non	non	ADJ
easat-9474	653	9	-	-	ADJ
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easat-9474	653	12	worldsheet	worldsheet	NOUN
easat-9474	653	13	,	,	PUNCT
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easat-9474	653	15	the	the	DET
easat-9474	653	16	european	european	PROPN
easat-9474	653	17	physical	physical	PROPN
easat-9474	653	18	journal	journal	PROPN
easat-9474	653	19	c	c	PROPN
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easat-9474	653	21	and	and	CCONJ
easat-9474	653	22	fields	field	NOUN
easat-9474	653	23	,	,	PUNCT
easat-9474	653	24	vol	vol	NOUN
easat-9474	653	25	.	.	PROPN
easat-9474	653	26	26	26	NUM
easat-9474	653	27	,	,	PUNCT
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easat-9474	653	29	.	.	NOUN
easat-9474	653	30	2	2	NUM
easat-9474	653	31	,	,	PUNCT
easat-9474	653	32	pp	pp	ADJ
easat-9474	653	33	.	.	PUNCT
easat-9474	653	34	285	285	NUM
easat-9474	653	35	-	-	SYM
easat-9474	653	36	291	291	NUM
easat-9474	653	37	,	,	PUNCT
easat-9474	653	38	2002	2002	NUM
easat-9474	653	39	.	.	PUNCT
easat-9474	654	1	https://doi.org/10.1140/epjc/s2002-01044-y	https://doi.org/10.1140/epjc/s2002-01044-y	PUNCT
easat-9474	655	1	[	[	X
easat-9474	655	2	14	14	NUM
easat-9474	655	3	]	]	X
easat-9474	655	4	d.	d.	PROPN
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easat-9474	655	7	"	"	PUNCT
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easat-9474	655	10	as	as	ADP
easat-9474	655	11	a	a	DET
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easat-9474	655	13	on	on	ADP
easat-9474	655	14	the	the	DET
easat-9474	655	15	string	string	NOUN
easat-9474	655	16	worldsheet	worldsheet	NOUN
easat-9474	655	17	,	,	PUNCT
easat-9474	655	18	"	"	PUNCT
easat-9474	655	19	physics	physics	NOUN
easat-9474	655	20	letters	letters	PROPN
easat-9474	655	21	b	b	PROPN
easat-9474	655	22	,	,	PUNCT
easat-9474	655	23	vol	vol	NOUN
easat-9474	655	24	.	.	PROPN
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easat-9474	655	26	,	,	PUNCT
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easat-9474	655	28	.	.	NOUN
easat-9474	655	29	3	3	NUM
easat-9474	655	30	,	,	PUNCT
easat-9474	655	31	pp	pp	ADJ
easat-9474	655	32	.	.	PUNCT
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easat-9474	655	34	-	-	SYM
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easat-9474	655	36	,	,	PUNCT
easat-9474	655	37	2002	2002	NUM
easat-9474	655	38	.	.	PUNCT
easat-9474	656	1	https://doi.org/10.1016/s0370-2693(02)02847-2	https://doi.org/10.1016/s0370-2693(02)02847-2	NOUN
easat-9474	657	1	[	[	X
easat-9474	657	2	15	15	NUM
easat-9474	657	3	]	]	X
easat-9474	657	4	d.	d.	PROPN
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easat-9474	657	12	worldsheet	worldsheet	NOUN
easat-9474	657	13	of	of	ADP
easat-9474	657	14	superstring	superstre	VERB
easat-9474	657	15	,	,	PUNCT
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easat-9474	657	19	letters	letter	NOUN
easat-9474	657	20	a	a	PRON
easat-9474	657	21	,	,	PUNCT
easat-9474	657	22	vol	vol	NOUN
easat-9474	657	23	.	.	PROPN
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easat-9474	657	25	,	,	PUNCT
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easat-9474	657	27	.	.	NOUN
easat-9474	657	28	05	05	NUM
easat-9474	657	29	,	,	PUNCT
easat-9474	657	30	pp	pp	ADJ
easat-9474	657	31	.	.	PUNCT
easat-9474	658	1	375	375	NUM
easat-9474	658	2	-	-	SYM
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easat-9474	658	4	,	,	PUNCT
easat-9474	658	5	2004	2004	NUM
easat-9474	658	6	.	.	PUNCT
easat-9474	659	1	https://doi.org/10.1142/s0217732304013015	https://doi.org/10.1142/s0217732304013015	NUM
easat-9474	660	1	[	[	X
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easat-9474	660	3	]	]	X
easat-9474	660	4	j.	j.	PROPN
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easat-9474	660	6	,	,	PUNCT
easat-9474	660	7	string	string	NOUN
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easat-9474	660	9	.	.	PUNCT
easat-9474	661	1	volume	volume	NOUN
easat-9474	661	2	1	1	NUM
easat-9474	661	3	:	:	PUNCT
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easat-9474	661	9	string	string	PROPN
easat-9474	661	10	.	.	PUNCT
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easat-9474	662	2	:	:	PUNCT
easat-9474	662	3	cambridge	cambridge	PROPN
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easat-9474	662	6	,	,	PUNCT
easat-9474	662	7	1998	1998	NUM
easat-9474	662	8	.	.	PUNCT
easat-9474	663	1	[	[	X
easat-9474	663	2	17	17	NUM
easat-9474	663	3	]	]	PUNCT
easat-9474	663	4	b.	b.	PROPN
easat-9474	663	5	zwiebach	zwiebach	PROPN
easat-9474	663	6	,	,	PUNCT
easat-9474	663	7	a	a	DET
easat-9474	663	8	first	first	ADJ
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easat-9474	663	10	in	in	ADP
easat-9474	663	11	string	string	NOUN
easat-9474	663	12	theory	theory	NOUN
easat-9474	663	13	,	,	PUNCT
easat-9474	663	14	2nd	2nd	ADJ
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easat-9474	663	16	.	.	PUNCT
easat-9474	664	1	cambridge	cambridge	PROPN
easat-9474	664	2	:	:	PUNCT
easat-9474	664	3	cambridge	cambridge	PROPN
easat-9474	664	4	university	university	PROPN
easat-9474	664	5	press	press	NOUN
easat-9474	664	6	,	,	PUNCT
easat-9474	664	7	2009	2009	NUM
easat-9474	664	8	.	.	PUNCT
easat-9474	665	1	[	[	X
easat-9474	665	2	18	18	NUM
easat-9474	665	3	]	]	PUNCT
easat-9474	665	4	j.	j.	PROPN
easat-9474	665	5	k.	k.	PROPN
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easat-9474	665	9	beker	beker	NOUN
easat-9474	665	10	,	,	PUNCT
easat-9474	665	11	string	string	NOUN
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easat-9474	665	13	and	and	CCONJ
easat-9474	665	14	m	m	NOUN
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easat-9474	665	17	.	.	PUNCT
easat-9474	666	1	cambridge	cambridge	PROPN
easat-9474	666	2	:	:	PUNCT
easat-9474	666	3	cambridge	cambridge	PROPN
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easat-9474	666	5	press	press	NOUN
easat-9474	666	6	,	,	PUNCT
easat-9474	666	7	2006	2006	NUM
easat-9474	666	8	.	.	PUNCT
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easat-9474	667	3	]	]	PUNCT
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easat-9474	667	7	b.	b.	PROPN
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easat-9474	669	2	(	(	PUNCT
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easat-9474	669	7	,	,	PUNCT
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easat-9474	669	9	.	.	PUNCT
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easat-9474	670	14	.	.	PUNCT
easat-9474	671	1	cham	cham	PROPN
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easat-9474	671	4	:	:	PUNCT
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easat-9474	671	8	,	,	PUNCT
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easat-9474	671	10	.	.	PUNCT
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easat-9474	673	2	:	:	PUNCT
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easat-9474	673	6	,	,	PUNCT
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easat-9474	673	8	.	.	PUNCT
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easat-9474	674	4	x.-j	x.-j	PROPN
easat-9474	674	5	.	.	PUNCT
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easat-9474	675	8	,	,	PUNCT
easat-9474	675	9	"	"	PUNCT
easat-9474	675	10	arxiv	arxiv	PROPN
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easat-9474	675	12	hep	hep	NOUN
easat-9474	675	13	-	-	PUNCT
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easat-9474	675	15	,	,	PUNCT
easat-9474	675	16	2005	2005	NUM
easat-9474	675	17	.	.	PUNCT
easat-9474	676	1	https://arxiv.org/abs/hep-th/0503111	https://arxiv.org/abs/hep-th/0503111	PROPN
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easat-9474	681	4	the	the	DET
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easat-9474	682	20	(	(	PUNCT
easat-9474	682	21	)	)	PUNCT
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easat-9474	682	23	)	)	PUNCT
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easat-9474	682	25	2	2	NUM
easat-9474	682	26	2	2	NUM
easat-9474	682	27	2	2	NUM
easat-9474	682	28	2	2	NUM
easat-9474	682	29	2	2	NUM
easat-9474	682	30	2	2	NUM
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easat-9474	682	35	2	2	NUM
easat-9474	682	36	2	2	NUM
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easat-9474	685	1	k	k	PROPN
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easat-9474	686	1	n	n	INTJ
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easat-9474	688	1	k	k	PROPN
easat-9474	688	2	m	m	VERB
easat-9474	688	3	n	n	VERB
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easat-9474	688	6	ik	ik	PROPN
easat-9474	688	7	l	l	PROPN
easat-9474	688	8	j	j	PROPN
easat-9474	688	9	m	m	PROPN
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easat-9474	688	11	n	n	X
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easat-9474	688	20	i	i	PRON
easat-9474	688	21			NUM
easat-9474	688	22			X
easat-9474	688	23			X
easat-9474	688	24			NUM
easat-9474	688	25			NOUN
easat-9474	688	26			PROPN
easat-9474	688	27			NUM
easat-9474	688	28			NOUN
easat-9474	688	29			X
easat-9474	688	30			X
easat-9474	688	31			X
easat-9474	688	32			NUM
easat-9474	688	33			X
easat-9474	688	34			X
easat-9474	688	35			NUM
easat-9474	688	36			NOUN
easat-9474	688	37			PROPN
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easat-9474	688	39			NOUN
easat-9474	688	40	+	+	PUNCT
easat-9474	688	41	+	+	CCONJ
easat-9474	688	42	+	+	X
easat-9474	688	43			ADP
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easat-9474	688	45			NOUN
easat-9474	689	1	+	+	CCONJ
easat-9474	689	2	+	+	ADV
easat-9474	689	3			NUM
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easat-9474	689	5			PROPN
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easat-9474	689	8			PROPN
easat-9474	690	1	+	+	NUM
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easat-9474	690	5			NUM
easat-9474	690	6			NUM
easat-9474	690	7			PROPN
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easat-9474	690	12			NOUN
easat-9474	690	13	=	=	SYM
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easat-9474	694	13	=	=	PUNCT
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easat-9474	702	13			X
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easat-9474	705	27	-	-	PUNCT
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easat-9474	705	43	1	1	NUM
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easat-9474	713	14	u	u	X
easat-9474	713	15	d	d	X
easat-9474	713	16	d	d	X
easat-9474	713	17	u	u	ADJ
easat-9474	713	18			NOUN
easat-9474	713	19			X
easat-9474	713	20			X
easat-9474	713	21			X
easat-9474	713	22			X
easat-9474	713	23			X
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easat-9474	713	41	=	=	SYM
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easat-9474	719	16	=	=	PUNCT
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easat-9474	720	7			INTJ
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easat-9474	720	23	(	(	PUNCT
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easat-9474	720	26	(	(	PUNCT
easat-9474	720	27	63	63	NUM
easat-9474	720	28	)	)	PUNCT
easat-9474	720	29	930	930	NUM
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easat-9474	720	31	applied	apply	VERB
easat-9474	720	32	science	science	NOUN
easat-9474	720	33	and	and	CCONJ
easat-9474	720	34	technology	technology	NOUN
easat-9474	720	35	issn	issn	PROPN
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easat-9474	720	39	8484	8484	NUM
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easat-9474	721	5	8	8	NUM
easat-9474	721	6	:	:	PUNCT
easat-9474	721	7	913	913	NUM
easat-9474	721	8	-	-	SYM
easat-9474	721	9	930	930	NUM
easat-9474	721	10	,	,	PUNCT
easat-9474	721	11	2025	2025	NUM
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easat-9474	721	15	-	-	PUNCT
easat-9474	721	16	8484.v9i8.9474	8484.v9i8.9474	NOUN
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easat-9474	722	2	2025	2025	NUM
easat-9474	722	3	by	by	ADP
easat-9474	722	4	the	the	DET
easat-9474	722	5	authors	author	NOUN
easat-9474	722	6	;	;	PUNCT
easat-9474	722	7	licensee	licensee	PROPN
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easat-9474	722	9	gate	gate	NOUN
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easat-9474	722	12	(	(	PUNCT
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easat-9474	723	6	1	1	NUM
easat-9474	723	7	12	12	NUM
easat-9474	723	8	1	1	NUM
easat-9474	723	9	1	1	NUM
easat-9474	723	10	1	1	NUM
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easat-9474	737	42	1	1	NUM
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easat-9474	737	46	1	1	NUM
easat-9474	737	47	2	2	NUM
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easat-9474	744	22			NUM
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easat-9474	744	25			PROPN
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easat-9474	744	32	=	=	PUNCT
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easat-9474	746	3			PROPN
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easat-9474	746	5			PROPN
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easat-9474	749	2			NOUN
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easat-9474	760	6			VERB
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easat-9474	761	3			NUM
easat-9474	761	4			NUM
easat-9474	761	5			NUM
easat-9474	761	6			NUM
easat-9474	761	7			NUM
easat-9474	761	8			NUM
easat-9474	761	9			NUM
easat-9474	761	10			NUM
easat-9474	761	11			NUM
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easat-9474	761	13			NUM
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easat-9474	761	17			NUM
easat-9474	761	18			NUM
easat-9474	761	19			NUM
easat-9474	761	20			NUM
easat-9474	761	21			NUM
easat-9474	761	22			NUM
easat-9474	761	23			NUM
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easat-9474	761	25			NUM
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easat-9474	761	29			NUM
easat-9474	761	30			NOUN
easat-9474	761	31			ADV
easat-9474	761	32			ADJ
easat-9474	761	33			NUM
easat-9474	761	34			NUM
easat-9474	761	35			NUM
easat-9474	761	36			NUM
easat-9474	761	37			NUM
easat-9474	761	38			NUM
easat-9474	761	39			NUM
easat-9474	761	40			NUM
easat-9474	761	41			NUM
easat-9474	761	42			NUM
easat-9474	761	43			NUM
easat-9474	761	44			NUM
easat-9474	761	45			NOUN
easat-9474	762	1			NUM
easat-9474	762	2			NUM
easat-9474	762	3			NUM
easat-9474	762	4			INTJ
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easat-9474	762	7			NUM
easat-9474	762	8			NUM
easat-9474	762	9			NUM
easat-9474	762	10			NUM
easat-9474	762	11			NUM
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easat-9474	762	13			NUM
easat-9474	762	14			NUM
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easat-9474	762	16			NUM
easat-9474	762	17			NUM
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easat-9474	762	19			NOUN
easat-9474	762	20			PROPN
easat-9474	763	1			NUM
easat-9474	763	2			NUM
easat-9474	763	3			NUM
easat-9474	763	4			PROPN
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easat-9474	763	6			PROPN
easat-9474	763	7			X
easat-9474	763	8	and	and	CCONJ
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easat-9474	763	10	the	the	DET
easat-9474	763	11	second	second	ADJ
easat-9474	763	12	term	term	NOUN
easat-9474	763	13	of	of	ADP
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easat-9474	763	16	-	-	PUNCT
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easat-9474	767	20	+	+	X
easat-9474	768	1	+	+	PUNCT
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easat-9474	768	5			INTJ
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easat-9474	768	7			ADJ
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easat-9474	768	10	=	=	NOUN
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easat-9474	768	12			PROPN
easat-9474	768	13			NOUN
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easat-9474	768	23	)	)	PUNCT
easat-9474	768	24	and	and	CCONJ
easat-9474	768	25	(	(	PUNCT
easat-9474	768	26	65	65	NUM
easat-9474	768	27	)	)	PUNCT
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easat-9474	769	4	get	get	VERB
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easat-9474	769	6	final	final	ADJ
easat-9474	769	7	result	result	NOUN
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easat-9474	769	10	)	)	PUNCT
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easat-9474	773	9			X
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easat-9474	774	1			NUM
easat-9474	774	2			ADJ
easat-9474	774	3			NUM
easat-9474	774	4			NOUN
easat-9474	774	5			X
easat-9474	774	6			X
easat-9474	774	7			X
easat-9474	774	8	−	−	PROPN
easat-9474	774	9	−	−	PROPN
easat-9474	774	10	−	−	PROPN
easat-9474	774	11	−	−	PROPN
easat-9474	774	12	−	−	PROPN
easat-9474	775	1	−	−	PROPN
easat-9474	775	2	−	−	PROPN
easat-9474	775	3	−+	−+	PROPN
easat-9474	775	4	+	+	CCONJ
easat-9474	775	5			NOUN
easat-9474	775	6			NOUN
easat-9474	775	7			PROPN
easat-9474	775	8			ADJ
easat-9474	775	9			PROPN
easat-9474	775	10			NOUN
easat-9474	775	11	=	=	PUNCT
easat-9474	775	12	−	−	PROPN
easat-9474	776	1	−	−	PROPN
easat-9474	777	1	+	+	CCONJ
easat-9474	777	2			PROPN
easat-9474	777	3			NOUN
easat-9474	777	4			PROPN
easat-9474	777	5			VERB
easat-9474	777	6			PROPN
easat-9474	777	7			PROPN
easat-9474	777	8			PROPN
easat-9474	777	9			CCONJ
easat-9474	777	10			PROPN
easat-9474	777	11			NOUN
easat-9474	777	12	(	(	PUNCT
easat-9474	777	13	66	66	NUM
easat-9474	777	14	)	)	PUNCT
easat-9474	777	15	so	so	ADV
easat-9474	777	16	,	,	PUNCT
easat-9474	777	17	(	(	PUNCT
easat-9474	777	18	)	)	PUNCT
easat-9474	777	19	(	(	PUNCT
easat-9474	777	20	)	)	PUNCT
easat-9474	777	21	(	(	PUNCT
easat-9474	777	22	)	)	PUNCT
easat-9474	777	23	(	(	PUNCT
easat-9474	777	24	)	)	PUNCT
easat-9474	777	25	21	21	NUM
easat-9474	777	26	12	12	NUM
easat-9474	777	27	1	1	NUM
easat-9474	777	28	1	1	NUM
easat-9474	777	29	1	1	NUM
easat-9474	777	30	1	1	NUM
easat-9474	777	31	1	1	NUM
easat-9474	777	32	1	1	NUM
easat-9474	777	33	1	1	NUM
easat-9474	777	34	1	1	NUM
easat-9474	777	35	1	1	NUM
easat-9474	777	36	1	1	NUM
easat-9474	777	37	1	1	NUM
easat-9474	777	38	,	,	PUNCT
easat-9474	777	39	|	|	ADV
easat-9474	777	40	0	0	NUM
easat-9474	777	41	2	2	NUM
easat-9474	777	42	2	2	NUM
easat-9474	777	43	,	,	PUNCT
easat-9474	777	44	|	|	ADV
easat-9474	777	45	0	0	NUM
easat-9474	777	46	2	2	NUM
easat-9474	777	47	!	!	SYM
easat-9474	777	48	2	2	NUM
easat-9474	777	49	j	j	PROPN
easat-9474	778	1	k	k	PROPN
easat-9474	778	2	j	j	PROPN
easat-9474	778	3	k	k	PROPN
easat-9474	778	4	r	r	NOUN
easat-9474	778	5	j	j	PROPN
easat-9474	778	6	jm	jm	PROPN
easat-9474	778	7	u	u	PROPN
easat-9474	778	8	d	d	X
easat-9474	778	9	u	u	NOUN
easat-9474	778	10	d	d	NOUN
easat-9474	778	11			NOUN
easat-9474	778	12			NOUN
easat-9474	778	13			NOUN
easat-9474	778	14			NOUN
easat-9474	778	15			X
easat-9474	778	16			X
easat-9474	778	17	−	−	PROPN
easat-9474	778	18	−	−	PROPN
easat-9474	778	19	−	−	PROPN
easat-9474	778	20	−	−	PROPN
easat-9474	778	21	−	−	PROPN
easat-9474	779	1	−	−	PROPN
easat-9474	779	2	−	−	PROPN
easat-9474	779	3	−+	−+	PROPN
easat-9474	779	4	+	+	CCONJ
easat-9474	779	5			NOUN
easat-9474	779	6			NOUN
easat-9474	779	7			PROPN
easat-9474	779	8			X
easat-9474	779	9			PROPN
easat-9474	779	10			NOUN
easat-9474	779	11	=	=	SYM
easat-9474	780	1	−	−	PROPN
easat-9474	780	2	−	−	PROPN
easat-9474	780	3			PROPN
easat-9474	780	4			PROPN
easat-9474	780	5			PROPN
easat-9474	780	6			VERB
easat-9474	780	7			PROPN
easat-9474	780	8			PROPN
easat-9474	780	9			NOUN
easat-9474	780	10	(	(	PUNCT
easat-9474	780	11	67	67	NUM
easat-9474	780	12	)	)	PUNCT
easat-9474	780	13	(	(	PUNCT
easat-9474	780	14	64	64	NUM
easat-9474	780	15	)	)	PUNCT