Derkachov, Sergey E. and Manashov, Alexander N. (2011) Noncompact sl(N) Spin Chains: BGG-Resolution, Q-Operators and Alternating Sum Representation for Finite-Dimensional Transfer Matrices. LETTERS IN MATHEMATICAL PHYSICS, 97 (2). pp. 185-202. ISSN 0377-9017,
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We study properties of transfer matrices in the sl(N) spin chain models. The transfer matrices with an infinite-dimensional auxiliary space are factorized into the product of N commuting Baxter Q-operators. We consider the transfer matrices with auxiliary spaces of a special type (including the finite-dimensional ones). It is shown that they can be represented as the alternating sum over the transfer matrices with infinite-dimensional auxiliary spaces. We show that certain combinations of the Baxter Q-operators can be identified with the Q-functions, which appear in the Nested Bethe Ansatz.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CONFORMAL FIELD-THEORY; 8-VERTEX LATTICE MODEL; ANALYTIC BETHE-ANSATZ; BAXTERS Q-OPERATOR; INTEGRABLE STRUCTURE; PARTITION-FUNCTION; 6-VERTEX MODEL; EQUATION; SEPARATION; SYSTEM; Yang-Baxter equation; Q-operator; BGG-resolution |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Jun 2020 10:04 |
| Last Modified: | 03 Jun 2020 10:04 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20484 |
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