arXiv:hep-th/0206076 · Journal of Physics A Mathematical and General

Hecke algebraic approach to the reflection equation for spin chains

Anastasia Doikou, P P Martin

Published Feb 19, 2003• 42 citations

Abstract

We use the structural similarity of certain Coxeter Artin systems to the Yang–Baxter and reflection equations to convert representations of these systems into new solutions of the reflection equation. We construct certain Bethe ansatz states for these solutions, using a parametrization suggested by abstract representation theory.

DOI: 10.1088/0305-4470/36/9/301

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