Elliptic solid-on-solid model's partition function as a single determinant

TL;DR

This paper presents a novel determinant expression for the partition function of the elliptic solid-on-solid model with domain-wall boundary conditions, derived from functional equations governing the model.

Contribution

It introduces a new single determinant formula for the model's partition function, linking it to functional equations and integrability.

Findings

Partition function expressed as a single determinant

Derivation based on functional equations

Applicable to elliptic solid-on-solid models

Abstract

In this work we express the partition function of the integrable elliptic solid-on-solid model with domain-wall boundary conditions as a single determinant. This representation appears naturally as the solution of a system of functional equations governing the model's partition function.