Perfect Integrability and Gaudin Models
We suggest the notion of perfect integrability for quantum spin chains and conjecture that quantum spin chains are perfectly integrable. We show the perfect integrability for Gaudin models associated with simple Lie algebras of all finite types, with periodic and regular quasi-periodic boundary cond...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2020 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211087 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Perfect Integrability and Gaudin Models. Kang Lu. SIGMA 16 (2020), 132, 10 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862619951212265472 |
|---|---|
| author | Lu, Kang |
| author_facet | Lu, Kang |
| citation_txt | Perfect Integrability and Gaudin Models. Kang Lu. SIGMA 16 (2020), 132, 10 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We suggest the notion of perfect integrability for quantum spin chains and conjecture that quantum spin chains are perfectly integrable. We show the perfect integrability for Gaudin models associated with simple Lie algebras of all finite types, with periodic and regular quasi-periodic boundary conditions.
|
| first_indexed | 2026-03-14T12:05:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211087 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T12:05:26Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Lu, Kang 2025-12-23T13:12:22Z 2020 Perfect Integrability and Gaudin Models. Kang Lu. SIGMA 16 (2020), 132, 10 pages 1815-0659 2020 Mathematics Subject Classification: 82B23; 17B80 arXiv:2008.06825 https://nasplib.isofts.kiev.ua/handle/123456789/211087 https://doi.org/10.3842/SIGMA.2020.132 We suggest the notion of perfect integrability for quantum spin chains and conjecture that quantum spin chains are perfectly integrable. We show the perfect integrability for Gaudin models associated with simple Lie algebras of all finite types, with periodic and regular quasi-periodic boundary conditions. The author is grateful to E. Mukhin and V. Tarasov for interesting discussions and helpful suggestions. The author also thanks the referees for their comments and suggestions that substantially improved the first version of this paper. This work was partially supported by a grant from the Simons Foundation #353831. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Perfect Integrability and Gaudin Models Article published earlier |
| spellingShingle | Perfect Integrability and Gaudin Models Lu, Kang |
| title | Perfect Integrability and Gaudin Models |
| title_full | Perfect Integrability and Gaudin Models |
| title_fullStr | Perfect Integrability and Gaudin Models |
| title_full_unstemmed | Perfect Integrability and Gaudin Models |
| title_short | Perfect Integrability and Gaudin Models |
| title_sort | perfect integrability and gaudin models |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211087 |
| work_keys_str_mv | AT lukang perfectintegrabilityandgaudinmodels |