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...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2015 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147134 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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| id |
nasplib_isofts_kiev_ua-123456789-147134 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors |
| spellingShingle |
GL(3)-Based Quantum Integrable Composite Models. I. Bethe Vectors Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| title_short |
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_sort |
gl(3)-based quantum integrable composite models. i. bethe vectors |
| author |
Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| author_facet |
Pakuliak, S. Ragoucy, E. Slavnov, N.A. |
| publishDate |
2015 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147134 |
| 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. |
| work_keys_str_mv |
AT pakuliaks gl3basedquantumintegrablecompositemodelsibethevectors AT ragoucye gl3basedquantumintegrablecompositemodelsibethevectors AT slavnovna gl3basedquantumintegrablecompositemodelsibethevectors |
| first_indexed |
2025-12-07T15:39:54Z |
| last_indexed |
2025-12-07T15:39:54Z |
| _version_ |
1850864560532094976 |