Classification of eight-vertex solutions of the colored Yang-Baxter equation
q-alg
2007-05-23 v1 Quantum Algebra
Abstract
In this paper all eight-vertex type solutions of the colored Yang-Baxter equation dependent on spectral as well as color parameter are given. It is proved that they are composed of three groups of basic solutions, three groups of their degenerate forms and two groups of trivial solutions up to five solution transformations. Moreover, all non-trivial solutions can be classified into two types called Baxter and Free-Fermion type.
Keywords
Cite
@article{arxiv.q-alg/9712020,
title = {Classification of eight-vertex solutions of the colored Yang-Baxter equation},
author = {Shi-kun Wang},
journal= {arXiv preprint arXiv:q-alg/9712020},
year = {2007}
}
Comments
Latex, 28 pages, To appear in the J. Phys. A: Math. Gen