Universal Bethe Ansatz and Scalar Products of Bethe Vectors

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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dc.contributor.author	Belliard, S.
dc.contributor.author	Pakuliak, S.
dc.contributor.author	Ragoucy, E.
dc.date.accessioned	2019-02-09T20:02:42Z
dc.date.available	2019-02-09T20:02:42Z
dc.date.issued	2010
dc.identifier.citation	Universal 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 17B37; 81R50
dc.identifier.other	DOI:10.3842/SIGMA.2010.094
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146527
dc.description.abstract	An 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.sponsorship	This 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.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	Universal Bethe Ansatz and Scalar Products of Bethe Vectors	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA