New determinants in the 8VSOS model with domain-wall boundaries

TL;DR

This paper demonstrates that the partition function of the 8VSOS model with domain-wall boundaries obeys similar functional equations as the six-vertex model and derives new determinantal formulas for it.

Contribution

It introduces novel determinantal representations for the 8VSOS model's partition function using refined functional equations, extending known results from the six-vertex model.

Findings

Partition function satisfies similar functional equations as the six-vertex model

Derived new determinantal representations for the 8VSOS model

Extended functional equation techniques to the 8VSOS model

Abstract

In this letter we show the partition function of the 8VSOS model with domain-wall boundaries satisfies the same type of functional equations as its six-vertex model counterpart. We then use these refined functional equations to obtain novel determinantal representations for the aforementioned partition function.