R-Matrix and Baxter Q-Operators for the Noncompact SL(N, C) Invariant Spin Chain

Derkachov, Sergey E. and Manashov, Alexander N. (2006) R-Matrix and Baxter Q-Operators for the Noncompact SL(N, C) Invariant Spin Chain. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2: 084. ISSN 1815-0659,

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Abstract

The problem of constructing the SL(N, C) invariant solutions to the Yang-Baxter equation is considered. The solutions (R-operators) for arbitrarily principal series representations of SL(N, C) are obtained in an explicit form. We construct the commutative family of the operators Q(k)(u) which can be identified with the Baxter operators for the noncompact SL(N, C) spin magnet.

Item Type: Article
Uncontrolled Keywords: CONFORMAL FIELD-THEORY; HIGH-ENERGY QCD; INTEGRABLE STRUCTURE; TODA CHAIN; EQUATION; SEPARATION; REPRESENTATION; VARIABLES; MAGNETS; THEOREM; Yang-Baxter equation; Baxter operator
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 03 Mar 2021 10:59
Last Modified: 03 Mar 2021 10:59
URI: https://pred.uni-regensburg.de/id/eprint/35283

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