Fifteen-vertex models with non-symmetric R matrices

2019/08/19 by Vieira, R. S.
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1908.06932

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 R matrices containing several free-parameters. The corresponding reflection K matrices, solutions of the boundary Yang-Baxter equation, were also found and classified. We found that there are three different families of regular K matrices, regardless of what R matrix we choose.

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