Fifteen-vertex models with non-symmetric $R$ matrices
Exactly Solvable and Integrable Systems
2019-08-20 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this work, we employ the algebraic-differential method recently developed by the author to solve the Yang-Baxter equation for arbitrary fifteen-vertex models satisfying the ice-rule. We show that there are four different families of such regular matrices containing several free-parameters. The corresponding reflection matrices, solutions of the boundary Yang-Baxter equation, were also found and classified. We found that there are three different families of regular matrices, regardless of what matrix we choose.
Keywords
Cite
@article{arxiv.1908.06932,
title = {Fifteen-vertex models with non-symmetric $R$ matrices},
author = {R. S. Vieira},
journal= {arXiv preprint arXiv:1908.06932},
year = {2019}
}