Fifteen-vertex models with non-symmetric $R$ matrices

R. S. Vieira

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arXiv · 1908.06932

Fifteen-vertex models with non-symmetric $R$ matrices

R. S. Vieira

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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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nlin.SI hep-th math-ph math.MP

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BibTeX RIS

R. S. Vieira. 2019-08-19. Fifteen-vertex models with non-symmetric $R$ matrices. https://arxiv.org/abs/1908.06932

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