On the Solutions of the Yang-Baxter Equations with General Inhomogeneous Eight-Vertex R-Matrix: Relations with Zamolodchikov's Tetrahedral Algebra

被引：16

作者：

Khachatryan, S. ^{[1
]}

Sedrakyan, A. ^{[1
]}

机构：

[1] Yerevan Phys Inst, Yerevan 36, Armenia

来源：

JOURNAL OF STATISTICAL PHYSICS | 2013年 / 150卷 / 01期

关键词：

Yang-Baxter equations; Integrable models; Eight vertex model; XYZ Heisenberg model; R-matrices; 2; DIMENSIONS; MODELS; REPRESENTATION; CONSTANT; 6-VERTEX; STRINGS; LATTICE; ANALOG; ROOTS; UNITY;

D O I：

10.1007/s10955-012-0666-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present most general one-parametric solutions of the Yang-Baxter equations (YBE) for one spectral parameter dependent R (ij) (u)-matrices of the six- and eight-vertex models, where the only constraint is the particle number conservation by mod(2). A complete classification of the solutions is performed. We have obtained also two spectral parameter dependent particular solutions R (ij) (u,v) of YBE. The application of the non-homogeneous solutions to construction of Zamolodchikov's tetrahedral algebra is discussed.

引用

页码：130 / 155

页数：26

共 55 条

[51] FACTORIZED S-MATRICES IN 2 DIMENSIONS AS THE EXACT SOLUTIONS OF CERTAIN RELATIVISTIC QUANTUM FIELD-THEORY MODELS [J].