GENERAL SOLUTION OF THE YANG-BAXTER EQUATION WITH SYMMETRY GROUP SL(n, C)

Derkachev, S. E. and Manashov, A. N. (2010) GENERAL SOLUTION OF THE YANG-BAXTER EQUATION WITH SYMMETRY GROUP SL(n, C). ST PETERSBURG MATHEMATICAL JOURNAL, 21 (4): PII S1061-. pp. 513-577. ISSN 1061-0022,

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Abstract

The problem of constructing the R-matrix is considered in the case of an integrable spin chain with symmetry group SL(n, C). A fairly complete study of general R-matrices acting in the tensor product of two continuous series representations of SL(n, C) is presented. On this basis. R-matrices are constructed that act in the tensor product of Verma modules (which are infinite-dimensional representations of the Lie algebra sl(n)), and also R-matrices acting in the tensor product of finite-dimensional representations of the Lie algebra sl(n).

Item Type: Article
Uncontrolled Keywords: CONFORMAL FIELD-THEORY; UNIVERSAL R-MATRIX; HIGH-ENERGY QCD; XXX SPIN CHAIN; Q-OPERATOR; INTEGRABLE STRUCTURE; MULTICOLOR QCD; QUANTUM; MODEL; SYSTEM; R-matrix; quantum inverse problem method; algebraic Bethe ansatz; Baxter operator
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun
Depositing User: Dr. Gernot Deinzer
Date Deposited: 22 Jul 2020 05:42
Last Modified: 22 Jul 2020 05:42
URI: https://pred.uni-regensburg.de/id/eprint/24434

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