Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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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.

Інший ID: 2010 Mathematics Subject Classification: 82B23; 81R12; 81R50; 17B80
DOI:10.3842/SIGMA.2016.099

URI: http://dspace.nbuv.gov.ua/handle/123456789/147864

Посилання: 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.

Підтримка: 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.

Дата: 2016

Завантажень: 264

Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models

Анотація:

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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