Slavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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dc.contributor.author	Belliard, S.
dc.contributor.author	Pimenta, R.A.
dc.date.accessioned	2019-02-13T17:59:00Z
dc.date.available	2019-02-13T17:59:00Z
dc.date.issued	2015
dc.identifier.citation	Slavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain / S. Belliard, R.A. Pimenta // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 37 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 82B23; 81R12
dc.identifier.other	DOI:10.3842/SIGMA.2015.099
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147162
dc.description.abstract	We consider the XXX spin-1/2 Heisenberg chain on the circle with an arbitrary twist. We characterize its spectral problem using the modified algebraic Bethe anstaz and study the scalar product between the Bethe vector and its dual. We obtain modified Slavnov and Gaudin-Korepin formulas for the model. Thus we provide a first example of such formulas for quantum integrable models without U(1) symmetry characterized by an inhomogenous Baxter T-Q equation.	uk_UA
dc.description.sponsorship	We thank J. Avan, N. Grosjean and R Nepomechie for discussions. R.A.P. would like to thanks the hospitality of the Laboratoire de Physique Th´eorique et Mod´elisation at the Universit´e de Cergy-Pontoise where a part of this work was done. S.B. is supported by the Universit´e de Cergy-Pontoise post doctoral fellowship. R.A.P. is supported by Sao Paulo Research Foundation (FAPESP), grants # 2014/00453-8 and # 2014/20364-0. We also thank the referees for their constructive remarks.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Slavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA