A Q-operator for open spin chains I. Baxter's TQ relation

被引：7

作者：

Vlaar, Bart ^{[1
]}

Weston, Robert ^{[1
]}

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2020年 / 53卷 / 24期

基金：

英国工程与自然科学研究理事会;

关键词：

Baxter's Q-operator; Heisenberg spin chain; open spin chain; Yang-Baxter equation; reflection equation; fusion intertwiners; Baxter's TQ relation; CONFORMAL FIELD-THEORY; ANISOTROPIC HEISENBERG CHAIN; INTEGRABLE STRUCTURE; ASYMPTOTIC REPRESENTATIONS; BOUNDARY-CONDITIONS; LATTICE STATISTICS; 8-VERTEX MODEL; BETHE-ANSATZ; XXZ CHAIN; QUANTUM;

D O I：

10.1088/1751-8121/ab8854

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct a Q-operator for the open XXZ Heisenberg quantum spin chain with diagonal boundary conditions and give a rigorous derivation of Baxter's TQ relation. Key roles in the theory are played by a particular infinite-dimensional solution of the reflection equation and by short exact sequences of intertwiners of the standard Borel subalgebras of U-q((sl) over cap (2)). The resulting Bethe equations are the same as those arising from Sklyanin's algebraic Bethe ansatz.

引用

页数：47

共 50 条

[1] On Baxter's Q-Operator for the XXX Spin Chain
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[J]. Communications in Mathematical Physics, 2000, 212 : 687 - 701
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[8] Baxter's Q-operator for the W-algebra WN
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[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (35)
[9] Factorization of the R-matrix and Baxter's Q-operator
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[J]. Journal of Mathematical Sciences, 2008, 151 (2) : 2880 - 2893
[10] Canonical and noncanonical variables, Baxter's Q-operator and the XXX model
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