Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models
We study gl(2|1) symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the monodromy matrix entries onto these vectors. We show that the result of these actions is a finite linear combination of Bethe vectors...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2016 |
| Автори: | , , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147864 |
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| Цитувати: | Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models / A. Hutsalyuk. A. Liashyk, S.Z. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 54 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147864 |
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dspace |
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irk-123456789-1478642019-02-17T01:23:22Z Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models Hutsalyuk, A. Liashyk, A. Pakuliak, S.Z. Ragoucy, E. Slavnov, N.A. We study gl(2|1) symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the monodromy matrix entries onto these vectors. We show that the result of these actions is a finite linear combination of Bethe vectors. The obtained formulas open a way for studying scalar products of Bethe vectors. 2016 Article Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models / A. Hutsalyuk. A. Liashyk, S.Z. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 54 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 82B23; 81R12; 81R50; 17B80 DOI:10.3842/SIGMA.2016.099 http://dspace.nbuv.gov.ua/handle/123456789/147864 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We study gl(2|1) symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the monodromy matrix entries onto these vectors. We show that the result of these actions is a finite linear combination of Bethe vectors. The obtained formulas open a way for studying scalar products of Bethe vectors. |
| format |
Article |
| author |
Hutsalyuk, A. Liashyk, A. Pakuliak, S.Z. Ragoucy, E. Slavnov, N.A. |
| spellingShingle |
Hutsalyuk, A. Liashyk, A. Pakuliak, S.Z. Ragoucy, E. Slavnov, N.A. Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Hutsalyuk, A. Liashyk, A. Pakuliak, S.Z. Ragoucy, E. Slavnov, N.A. |
| author_sort |
Hutsalyuk, A. |
| title |
Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models |
| title_short |
Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models |
| title_full |
Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models |
| title_fullStr |
Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models |
| title_full_unstemmed |
Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models |
| title_sort |
multiple actions of the monodromy matrix in gl(2|1)-invariant integrable models |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147864 |
| citation_txt |
Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models / A. Hutsalyuk. A. Liashyk, S.Z. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 54 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
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2023-05-20T17:28:42Z |
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