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

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 $U_q(s{l}_2)$ $R$-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.

Superceded by the forthcoming updated version of arXiv:1703.07924

Cited by in corpus (1)

• Symmetric functions and wavefunctions of the six-vertex model by Izergin-Korepin analysis