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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2017 |
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| Sprache: | English |
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Інститут математики НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149276 |
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| Zitieren: | 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. |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary |
| spellingShingle |
Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary Crampe, N. |
| title_short |
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_sort |
algebraic bethe ansatz for the xxz gaudin models with generic boundary |
| author |
Crampe, N. |
| author_facet |
Crampe, N. |
| publishDate |
2017 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149276 |
| 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. |
| work_keys_str_mv |
AT crampen algebraicbetheansatzforthexxzgaudinmodelswithgenericboundary |
| first_indexed |
2025-12-07T20:22:41Z |
| last_indexed |
2025-12-07T20:22:41Z |
| _version_ |
1850882351581626368 |