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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Format: | Article |
Language: | English |
Published: |
Elsevier
2021-10-01
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Series: | Nuclear Physics B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321321002145 |
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. |
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ISSN: | 0550-3213 |