Modified Algebraic Bethe Ansatz: Twisted XXX Case
We prove the modified algebraic Bethe Ansatz characterization of the spectral problem for the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half)-integer spin at each site of the chain. We provide two bases to characterize the spectral problem and two families of i...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2018 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209518 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Modified Algebraic Bethe Ansatz: Twisted XXX Case / S. Belliard, N.A. Slavnov, B. Vallet // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 31 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862708725795520512 |
|---|---|
| author | Belliard, S. Slavnov, N.A. Vallet, B. |
| author_facet | Belliard, S. Slavnov, N.A. Vallet, B. |
| citation_txt | Modified Algebraic Bethe Ansatz: Twisted XXX Case / S. Belliard, N.A. Slavnov, B. Vallet // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 31 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We prove the modified algebraic Bethe Ansatz characterization of the spectral problem for the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half)-integer spin at each site of the chain. We provide two bases to characterize the spectral problem and two families of inhomogeneous Baxter T-Q equations. The two families satisfy an inhomogeneous quantum Wronskian equation.
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| first_indexed | 2025-12-07T17:13:05Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209518 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:13:05Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Belliard, S. Slavnov, N.A. Vallet, B. 2025-11-24T10:25:12Z 2018 Modified Algebraic Bethe Ansatz: Twisted XXX Case / S. Belliard, N.A. Slavnov, B. Vallet // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 31 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 82R53; 81R12 arXiv: 1804.00597 https://nasplib.isofts.kiev.ua/handle/123456789/209518 https://doi.org/10.3842/SIGMA.2018.054 We prove the modified algebraic Bethe Ansatz characterization of the spectral problem for the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half)-integer spin at each site of the chain. We provide two bases to characterize the spectral problem and two families of inhomogeneous Baxter T-Q equations. The two families satisfy an inhomogeneous quantum Wronskian equation. S.B. thanks R. Pimenta, N. Crampé, P. Baseilhac, V. Pasquier, D. Serban, and A. Faribault for discussions. N.S. would like to thank the hospitality of the Institute de Physique Théorique at the CEA de Saclay, where a part of this work was done. S.B. and B.V. would like to thank the hospitality of the LMPT of Tours, where a part of this work was done. S.B. was supported by a public grant as part of the Investissement d’avenir project, reference ANR-11-LABX-0056-LMH, LabEx LMH. N.S. was supported by the Russian Foundation RFBR-18-01-00273a. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Modified Algebraic Bethe Ansatz: Twisted XXX Case Article published earlier |
| spellingShingle | Modified Algebraic Bethe Ansatz: Twisted XXX Case Belliard, S. Slavnov, N.A. Vallet, B. |
| title | Modified Algebraic Bethe Ansatz: Twisted XXX Case |
| title_full | Modified Algebraic Bethe Ansatz: Twisted XXX Case |
| title_fullStr | Modified Algebraic Bethe Ansatz: Twisted XXX Case |
| title_full_unstemmed | Modified Algebraic Bethe Ansatz: Twisted XXX Case |
| title_short | Modified Algebraic Bethe Ansatz: Twisted XXX Case |
| title_sort | modified algebraic bethe ansatz: twisted xxx case |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209518 |
| work_keys_str_mv | AT belliards modifiedalgebraicbetheansatztwistedxxxcase AT slavnovna modifiedalgebraicbetheansatztwistedxxxcase AT valletb modifiedalgebraicbetheansatztwistedxxxcase |