On the domain wall partition functions of level-1 affine so(n) vertex models

TL;DR

This paper derives determinant formulas for the domain wall partition functions of level-1 affine so(n) vertex models at specific crossing parameters, enhancing understanding of their mathematical structure in the critical regime.

Contribution

It provides explicit determinant expressions for these partition functions at discrete crossing parameters, a novel result for affine so(n) models.

Findings

Determinant formulas for partition functions derived

Results valid at discrete crossing parameters

Applicable in the critical regime for n >= 4

Abstract

We derive determinant expressions for domain wall partition functions of level-1 affine so(n) vertex models, n >= 4, at discrete values of the crossing parameter lambda = m pi / 2(n-3), m in Z, in the critical regime.