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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2016 |
| Main Authors: | , , , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147864 |
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| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862692543437733888 |
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| author | Hutsalyuk, A. Liashyk, A. Pakuliak, S.Z. Ragoucy, E. Slavnov, N.A. |
| author_facet | Hutsalyuk, A. Liashyk, A. Pakuliak, S.Z. Ragoucy, E. Slavnov, N.A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T16:18:17Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-147864 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:18:17Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hutsalyuk, A. Liashyk, A. Pakuliak, S.Z. Ragoucy, E. Slavnov, N.A. 2019-02-16T09:33:04Z 2019-02-16T09:33:04Z 2016 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 https://nasplib.isofts.kiev.ua/handle/123456789/147864 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. This paper is a contribution to the Special Issue on Recent Advances in Quantum Integrable Systems. The
 full collection is available at http://www.emis.de/journals/SIGMA/RAQIS2016.html. The work of A.L. has been funded by the Russian Academic Excellence Project 5-100 and by
 joint NASU-CNRS project F14-2016. The work of S.P. was supported in part by the RFBR
 grant 16-01-00562-a. N.A.S. was supported by the grants RFBR-15-31-20484-mol-a-ved and
 RFBR-14-01-00860-a. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models Article published earlier |
| spellingShingle | 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. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147864 |
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