Elliptic dynamical reflection algebra and partition function of SOS model with reflecting end

TL;DR

This paper introduces an elliptic dynamical reflection algebra for an SOS model with reflecting end and derives its partition function as a single Izergin determinant using Drinfel'd twist.

Contribution

The work develops a new elliptic dynamical reflection algebra and provides a determinant representation of the partition function for the SOS model with reflecting boundary.

Findings

Partition function expressed as a single Izergin determinant

Application of Drinfel'd twist to compute partition functions

New algebraic structure for SOS models with reflecting ends

Abstract

We introduce in this paper an elliptic dynamical reflection algebra describing an SOS model with reflecting end. Using factorizing Drinfel'd twist, we compute the partition function of this model with domain wall boundary conditions. We show that it can be represented in the form of a single Izergin determinant.