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arXiv:1908.06932

Fifteen-vertex models with non-symmetric RRR matrices

R. S. Vieira

Published Aug 19, 2019• 8 citations
arXivHTMLPDF

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.

DOI
10.48550/arxiv.1908.06932

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