Universal Bethe Ansatz and Scalar Products of Bethe Vectors

dc.contributor.authorBelliard, S.
dc.contributor.authorPakuliak, S.
dc.contributor.authorRagoucy, E.
dc.date.accessioned2019-02-09T20:02:42Z
dc.date.available2019-02-09T20:02:42Z
dc.date.issued2010
dc.description.abstractAn integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra Uq(gl₃) is given. This result is obtained in the framework of the universal Bethe ansatz, using presentation of the universal Bethe vectors in terms of the total currents of a ''new'' realization of the quantum affine algebra Uq(gl₃).uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the International Workshop “Recent Advances in Quantum Integrable Systems”. The full collection is available at http://www.emis.de/journals/SIGMA/RAQIS2010.html. Authors would like to acknowledge very useful discussions with Sergei Khoroshkin and Nikita Slavnov. This work was partially done when the second author (S.P.) visited Laboratoire d’Annecy-Le-Vieux de Physique Th´eorique in February, 2009. This visit was possible due to the financial support of the CNRS-Russia exchange program on mathematical physics. He thanks LAPTH for the hospitality and stimulating scientific atmosphere. Work of S.P. was supported in part by RFBR grant 08-01-00667, RFBR-CNRS grant 07-02-92166-CNRS and grant of the Federal Agency for Science and Innovations of Russian Federation under contract 14.740.11.0347. Work of S.B. was supported in part by the INFN Iniziativa Specifica FI11.uk_UA
dc.identifier.citationUniversal Bethe Ansatz and Scalar Products of Bethe Vectors / S. Belliard, S. Pakuliak, E. Ragoucy // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 28 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 17B37; 81R50
dc.identifier.otherDOI:10.3842/SIGMA.2010.094
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146527
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleUniversal Bethe Ansatz and Scalar Products of Bethe Vectorsuk_UA
dc.typeArticleuk_UA

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