Quantum groups and functional relations for arbitrary rank

Quantum groups and functional relations for arbitrary rank

The quantum integrable systems associated with the quantum loop algebras Uq(L(sll+1)) are considered. The factorized form of the transfer operators related to the infinite dimensional evaluation representations is found and the determinant form of the transfer operators related to the finite dimensi...

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Main Author: Alexander V. Razumov
Format: Article
Language:English
Published: Elsevier 2021-10-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321321002145
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spelling doaj-9d1e22114f7448dca554f769731e99f22021-10-01T04:50:42ZengElsevierNuclear Physics B0550-32132021-10-01971115517Quantum groups and functional relations for arbitrary rankAlexander V. Razumov0NRC “Kurchatov Institute” – Logunov Institute for High Energy Physics, 142281 Protvino, Moscow region, RussiaThe quantum integrable systems associated with the quantum loop algebras Uq(L(sll+1)) are considered. The factorized form of the transfer operators related to the infinite dimensional evaluation representations is found and the determinant form of the transfer operators related to the finite dimensional evaluation representations is obtained. The master TQ- and TT-relations are derived. The operatorial T- and Q-systems are found. The nested Bethe equations are obtained.http://www.sciencedirect.com/science/article/pii/S0550321321002145
collection DOAJ
language English
format Article
sources DOAJ
author Alexander V. Razumov
spellingShingle Alexander V. Razumov
Quantum groups and functional relations for arbitrary rank
Nuclear Physics B
author_facet Alexander V. Razumov
author_sort Alexander V. Razumov
title Quantum groups and functional relations for arbitrary rank
title_short Quantum groups and functional relations for arbitrary rank
title_full Quantum groups and functional relations for arbitrary rank
title_fullStr Quantum groups and functional relations for arbitrary rank
title_full_unstemmed Quantum groups and functional relations for arbitrary rank
title_sort quantum groups and functional relations for arbitrary rank
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2021-10-01
description The quantum integrable systems associated with the quantum loop algebras Uq(L(sll+1)) are considered. The factorized form of the transfer operators related to the infinite dimensional evaluation representations is found and the determinant form of the transfer operators related to the finite dimensional evaluation representations is obtained. The master TQ- and TT-relations are derived. The operatorial T- and Q-systems are found. The nested Bethe equations are obtained.
url http://www.sciencedirect.com/science/article/pii/S0550321321002145
work_keys_str_mv AT alexandervrazumov quantumgroupsandfunctionalrelationsforarbitraryrank
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