Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
We solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe ansatz. The diagonal and triangular cases have been recovered in this general framework. We show that the model for odd or even lengths has two different behaviors. The corresponding Bethe equations are computed f...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2017 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149276 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary / N. Crampe // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 44 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862741910049783808 |
|---|---|
| author | Crampe, N. |
| author_facet | Crampe, N. |
| citation_txt | Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary / N. Crampe // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 44 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe ansatz. The diagonal and triangular cases have been recovered in this general framework. We show that the model for odd or even lengths has two different behaviors. The corresponding Bethe equations are computed for all the cases. For the chain with even length, inhomogeneous Bethe equations are necessary. The higher spin Gaudin models with generic boundary is also treated.
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| first_indexed | 2025-12-07T20:22:41Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149276 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:22:41Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Crampe, N. 2019-02-19T19:41:21Z 2019-02-19T19:41:21Z 2017 Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary / N. Crampe // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 44 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81R12; 17B80; 37J35 DOI:10.3842/SIGMA.2017.094 https://nasplib.isofts.kiev.ua/handle/123456789/149276 We solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe ansatz. The diagonal and triangular cases have been recovered in this general framework. We show that the model for odd or even lengths has two different behaviors. The corresponding Bethe equations are computed for all the cases. For the chain with even length, inhomogeneous Bethe equations are necessary. The higher spin Gaudin models with generic boundary is also treated. I thank P. Baseilhac, S. Belliard and V. Caudrelier for their interest. This work has been done
 during the stay of the author at the “Laboratoire de Math´ematiques et Physique Th´eorique
 CNRS/UMR 7350, Universit´e de Tours”. I thank warmly the LMPT for hospitality. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary Article published earlier |
| spellingShingle | Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary Crampe, N. |
| title | Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary |
| title_full | Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary |
| title_fullStr | Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary |
| title_full_unstemmed | Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary |
| title_short | Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary |
| title_sort | algebraic bethe ansatz for the xxz gaudin models with generic boundary |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149276 |
| work_keys_str_mv | AT crampen algebraicbetheansatzforthexxzgaudinmodelswithgenericboundary |