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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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Universal Bethe Ansatz and Scalar Products of Bethe Vectors
Інший ID:
2010 Mathematics Subject Classification: 17B37; 81R50
DOI:10.3842/SIGMA.2010.094
DOI:10.3842/SIGMA.2010.094
Посилання:
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.
Підтримка:
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.
Дата:
2010
Переглядів:
520
Завантажень:
251
Анотація:
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).
