Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix

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dc.contributor.authorBelliard, S.
dc.contributor.authorPakuliak, S.
dc.contributor.authorRagoucy, E.
dc.contributor.authorSlavnov, N.A.
dc.date.accessioned2019-02-21T07:05:43Z
dc.date.available2019-02-21T07:05:43Z
dc.date.issued2013
dc.description.abstractWe study quantum integrable models with GL(3) trigonometric R-matrix and solvable by the nested algebraic Bethe ansatz. Using the presentation of the universal Bethe vectors in terms of projections of products of the currents of the quantum affine algebra Uq(glˆ₃) onto intersections of different types of Borel subalgebras, we prove that the set of the nested Bethe vectors is closed under the action of the elements of the monodromy matrix.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html. Work of S.P. was supported in part by RFBR grant 11-01-00980-a and grant of Scientific Foundation of NRU HSE 12-09-0064. E.R. was supported by ANR Project DIADEMS (Programme Blanc ANR SIMI1 2010-BLAN-0120-02). N.A.S. was supported by the Program of RAS Basic Problems of the Nonlinear Dynamics, RFBR-11-01-00440, SS-4612.2012.1.uk_UA
dc.identifier.citationBethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matri / S. Belliard, S. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 26 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 81R50; 17B80
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2013.058
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149345
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleBethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrixuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік