Universal Bethe Ansatz and Scalar Products of Bethe Vectors
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 o...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2010 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146527 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
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Belliard, S. Pakuliak, S. Ragoucy, E. 2019-02-09T20:02:42Z 2019-02-09T20:02:42Z 2010 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. 1815-0659 2010 Mathematics Subject Classification: 17B37; 81R50 DOI:10.3842/SIGMA.2010.094 https://nasplib.isofts.kiev.ua/handle/123456789/146527 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). 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Universal Bethe Ansatz and Scalar Products of Bethe Vectors Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Universal Bethe Ansatz and Scalar Products of Bethe Vectors |
| spellingShingle |
Universal Bethe Ansatz and Scalar Products of Bethe Vectors Belliard, S. Pakuliak, S. Ragoucy, E. |
| title_short |
Universal Bethe Ansatz and Scalar Products of Bethe Vectors |
| title_full |
Universal Bethe Ansatz and Scalar Products of Bethe Vectors |
| title_fullStr |
Universal Bethe Ansatz and Scalar Products of Bethe Vectors |
| title_full_unstemmed |
Universal Bethe Ansatz and Scalar Products of Bethe Vectors |
| title_sort |
universal bethe ansatz and scalar products of bethe vectors |
| author |
Belliard, S. Pakuliak, S. Ragoucy, E. |
| author_facet |
Belliard, S. Pakuliak, S. Ragoucy, E. |
| publishDate |
2010 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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).
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146527 |
| fulltext |
|
| citation_txt |
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. |
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2025-11-26T00:20:15Z |
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2025-11-26T00:20:15Z |
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