Exact solution of $Z_n$ Belavin model with open boundary condition

TL;DR

This paper provides an exact solution for the $Z_n$ Belavin model with open boundary conditions by diagonalizing the transfer matrices using algebraic Bethe ansatz, deriving eigenvalues and Bethe equations.

Contribution

It introduces a novel algebraic Bethe ansatz approach for the $Z_n$ Belavin model with open boundaries, including explicit eigenvalues and Bethe ansatz equations.

Findings

Eigenvalues of the transfer matrix are explicitly obtained.

Bethe ansatz equations are derived for the model.

The method advances understanding of integrable models with open boundaries.

Abstract

$Z_n$ Belavin model with open boundary condition is studied. The double-row transfer matrices of the model are diagonalized by algebraic Bethe ansatz method in terms of the intertwiner and the face-vertex correspondence relation. The eigenvalues and the corresponding Bethe ansatz equations are obtained.