Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix
Vernadsky National Library of Ukraine
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Title |
Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix
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Creator |
Belliard, S.
Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
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Description |
We 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.
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Date |
2019-02-21T07:05:43Z
2019-02-21T07:05:43Z 2013 |
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Type |
Article
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Identifier |
Bethe 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.
1815-0659 2010 Mathematics Subject Classification: 81R50; 17B80 DOI: http://dx.doi.org/10.3842/SIGMA.2013.058 http://dspace.nbuv.gov.ua/handle/123456789/149345 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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