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arXiv · 1703.06250

Domain wall boundary partition function of the six-vertex model with triangular boundary

Kohei Motegi
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Abstract

We introduce and study the domain wall boundary partition function of the integrable six-vertex model with triangular boundary. We first formulate the domain wall boundary partition function with triangular boundary by using the $U_q(sl_2)$ $R$-matrix and a special class of the triangular $K$-matrix. By using its graphical representation, we make the Izergin-Korepin analysis with the help of the Yang-Baxter relation and the reflection equation to give a characterization of the partition function. The explict form of the symmetric function representing the partition function is presented by showing that it satisfies all the required properties.

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Kohei Motegi. 2017-03-18. Domain wall boundary partition function of the six-vertex model with triangular boundary. https://arxiv.org/abs/1703.06250

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