Refined functional relations for the elliptic SOS model

TL;DR

This paper develops a new functional equation for the elliptic SOS model's partition function, derived from the dynamical Yang-Baxter algebra, and expresses its solution through multiple contour integrals.

Contribution

It refines previous methods to derive a novel functional relation for the elliptic SOS model's partition function, expanding analytical tools in integrable models.

Findings

Derived a new functional equation from the dynamical Yang-Baxter algebra.

Expressed the solution as multiple contour integrals.

Provides a refined analytical approach for elliptic SOS models.

Abstract

In this work we refine the method of [1] and obtain a novel kind of functional equation determining the partition function of the elliptic SOS model with domain wall boundaries. This functional relation is originated from the dynamical Yang-Baxter algebra and its solution is given in terms of multiple contour integrals.