Modified Algebraic Bethe Ansatz: Twisted XXX Case

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dc.contributor.authorBelliard, S.
dc.contributor.authorSlavnov, N.A.
dc.contributor.authorVallet, B.
dc.date.accessioned2025-11-24T10:25:12Z
dc.date.issued2018
dc.description.abstractWe prove the modified algebraic Bethe Ansatz characterization of the spectral problem for the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half)-integer spin at each site of the chain. We provide two bases to characterize the spectral problem and two families of inhomogeneous Baxter T-Q equations. The two families satisfy an inhomogeneous quantum Wronskian equation.
dc.description.sponsorshipS.B. thanks R. Pimenta, N. Crampé, P. Baseilhac, V. Pasquier, D. Serban, and A. Faribault for discussions. N.S. would like to thank the hospitality of the Institute de Physique Théorique at the CEA de Saclay, where a part of this work was done. S.B. and B.V. would like to thank the hospitality of the LMPT of Tours, where a part of this work was done. S.B. was supported by a public grant as part of the Investissement d’avenir project, reference ANR-11-LABX-0056-LMH, LabEx LMH. N.S. was supported by the Russian Foundation RFBR-18-01-00273a.
dc.identifier.citationModified Algebraic Bethe Ansatz: Twisted XXX Case / S. Belliard, N.A. Slavnov, B. Vallet // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 31 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2018.054
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 82R53; 81R12
dc.identifier.otherarXiv: 1804.00597
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/209518
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleModified Algebraic Bethe Ansatz: Twisted XXX Case
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2018, том 14, випуск за цей рік