Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix
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 typ...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2013 |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149345 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149345 |
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dspace |
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irk-123456789-1493452019-02-22T01:22:33Z Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix Belliard, S. Pakuliak, S. Ragoucy, E. Slavnov, N.A. 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. 2013 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Belliard, S. Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| spellingShingle |
Belliard, S. Pakuliak, S. Ragoucy, E. Slavnov, N.A. Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Belliard, S. Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| author_sort |
Belliard, S. |
| title |
Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix |
| title_short |
Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix |
| title_full |
Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix |
| title_fullStr |
Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix |
| title_full_unstemmed |
Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix |
| title_sort |
bethe vectors of quantum integrable models with gl(3) trigonometric r-matrix |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149345 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
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2023-05-20T17:32:46Z |
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