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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Bibliographic Details
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
Description
Summary: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.
ISSN:0550-3213