The XXX spin s quantum chain and the alternating $s^{1}$, $s^{2}$ chain with boundaries

TL;DR

This paper analyzes the integrable XXX spin s quantum chain and an alternating chain with boundaries, computing exact boundary S matrices and exploring their connections to other models in the limit of large spins.

Contribution

It provides the exact boundary S matrices for these chains using Bethe ansatz and discusses their relation to SU(2) principal chiral, WZW, and RSOS models.

Findings

Exact boundary S matrices computed in the large spin limit

Connections established with SU(2) principal chiral, WZW, and RSOS models

Analysis of boundary scattering in integrable quantum spin chains

Abstract

The integrable XXX spin s quantum chain and the alternating $s^{1}$, $s^{2}$ ($s^{1}-s^{2}={1\over 2}$) chain with boundaries are considered. The scattering of their excitations with the boundaries via the Bethe ansatz method is studied, and the exact boundary S matrices are computed in the limit $s, s^{1, 2} \to \infty$. Moreover, the connection of these models with the SU(2) Principal Chiral, WZW and the RSOS models is discussed.