Higher spin vertex models with domain wall boundary conditions

TL;DR

This paper derives determinant formulas for the partition functions of higher spin vertex models with domain wall boundary conditions, advancing the mathematical understanding of these models in statistical mechanics.

Contribution

It introduces new determinant expressions for the partition functions of spin-k/2 vertex models with specific boundary conditions, extending previous results.

Findings

Determinant formulas for partition functions derived

Applicable to finite square lattices with domain wall boundary conditions

Enhances analytical tools for higher spin models

Abstract

We derive determinant expressions for the partition functions of spin-k/2 vertex models on a finite square lattice with domain wall boundary conditions.