Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End

TL;DR

This paper links the eigenstate construction of spin chains with non-diagonal boundaries to the partition function of the trigonometric SOS model with a reflecting end, using a gauge transformation and dynamical reflection algebras.

Contribution

It demonstrates a unifying approach to solve two seemingly different problems in integrable models via a gauge transformation.

Findings

Eigenstates of spin chains with non-parallel boundary fields constructed.

Partition function of SOS model with reflecting end computed.

Both problems solved using the same dynamical reflection algebra.

Abstract

In this paper we consider two a priori very different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and computation of the partition function for the trigonometric solid-on-solid (SOS) model with one reflecting end and domain wall boundary conditions. We show that these two problems are related through a gauge transformation (so-called vertex-face transformation) and can be solved using the same dynamical reflection algebras.