Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models

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dc.contributor.authorHutsalyuk, A.
dc.contributor.authorLiashyk, A.
dc.contributor.authorPakuliak, S.Z.
dc.contributor.authorRagoucy, E.
dc.contributor.authorSlavnov, N.A.
dc.date.accessioned2019-02-16T09:33:04Z
dc.date.available2019-02-16T09:33:04Z
dc.date.issued2016
dc.description.abstractWe study gl(2|1) symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the monodromy matrix entries onto these vectors. We show that the result of these actions is a finite linear combination of Bethe vectors. The obtained formulas open a way for studying scalar products of Bethe vectors.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Recent Advances in Quantum Integrable Systems. The full collection is available at http://www.emis.de/journals/SIGMA/RAQIS2016.html. The work of A.L. has been funded by the Russian Academic Excellence Project 5-100 and by joint NASU-CNRS project F14-2016. The work of S.P. was supported in part by the RFBR grant 16-01-00562-a. N.A.S. was supported by the grants RFBR-15-31-20484-mol-a-ved and RFBR-14-01-00860-a.uk_UA
dc.identifier.citationMultiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models / A. Hutsalyuk. A. Liashyk, S.Z. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 54 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 82B23; 81R12; 81R50; 17B80
dc.identifier.otherDOI:10.3842/SIGMA.2016.099
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147864
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleMultiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Modelsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік