GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors
We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors in the GL(3)-based quantum integrable models we prove a formula for the Bethe vectors of composite mod...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2015 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147134 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors / S. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 16 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862674053773393920 |
|---|---|
| author | Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| author_facet | Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| citation_txt | GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors / S. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors in the GL(3)-based quantum integrable models we prove a formula for the Bethe vectors of composite model. We show that this representation is a particular case of general coproduct property of the weight functions (Bethe vectors) found in the theory of the deformed Knizhnik-Zamolodchikov equation.
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| first_indexed | 2025-12-07T15:39:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147134 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:39:54Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Pakuliak, S. Ragoucy, E. Slavnov, N.A. 2019-02-13T17:19:16Z 2019-02-13T17:19:16Z 2015 GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors / S. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 16 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B37; 81R50 DOI:10.3842/SIGMA.2015.063 https://nasplib.isofts.kiev.ua/handle/123456789/147134 We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors in the GL(3)-based quantum integrable models we prove a formula for the Bethe vectors of composite model. We show that this representation is a particular case of general coproduct property of the weight functions (Bethe vectors) found in the theory of the deformed Knizhnik-Zamolodchikov equation. The work of S.P. was supported in part by RFBR-Ukraine grant 14-01-90405-ukr-a. N.A.S. was
 supported by the Program of RAS “Nonlinear Dynamics in Mathematics and Physics” and by
 the grant RFBR-15-31-20484-mol a ved. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors Article published earlier |
| spellingShingle | GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| title | GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors |
| title_full | GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors |
| title_fullStr | GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors |
| title_full_unstemmed | GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors |
| title_short | GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors |
| title_sort | gl(3)-based quantum integrable composite models. i. bethe vectors |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147134 |
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