Factorized domain wall partition functions in trigonometric vertex models

TL;DR

This paper derives explicit factorized formulas for domain wall partition functions in specific trigonometric vertex models, including the Deguchi-Akutsu and Perk-Schultz models, extending known results and conjecturing for higher N.

Contribution

The paper provides new factorized expressions for domain wall partition functions in N-state Deguchi-Akutsu models and the sl(r+1|s+1) Perk-Schultz models, including conjectures for all N ≥ 5.

Findings

Explicit formulas for N=2,3,4 Deguchi-Akutsu models

Conjectured formulas for all N ≥ 5

Results are independent of r and s in Perk-Schultz models

Abstract

We obtain factorized domain wall partition functions for two sets of trigonometric vertex models: 1. The N-state Deguchi-Akutsu models, for N = {2, 3, 4} (and conjecture the result for all N >= 5), and 2. The sl(r+1|s+1) Perk-Schultz models, for {r, s = \N}, where (given the symmetries of these models) the result is independent of {r, s}.