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

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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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dc.contributor.author	Hutsalyuk, A.
dc.contributor.author	Liashyk, A.
dc.contributor.author	Pakuliak, S.Z.
dc.contributor.author	Ragoucy, E.
dc.contributor.author	Slavnov, N.A.
dc.date.accessioned	2019-02-16T09:33:04Z
dc.date.available	2019-02-16T09:33:04Z
dc.date.issued	2016
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 82B23; 81R12; 81R50; 17B80
dc.identifier.other	DOI:10.3842/SIGMA.2016.099
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147864
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Multiple Actions of the Monodromy Matrix in gl(2\|1)-Invariant Integrable Models	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA