Hecke algebraic approach to the reflection equation for spin chains

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 parameterisation suggested by abstract representation theory.

27 pages, multiple figures, latex

References in corpus (1)

• Coupling integrable field theories to mechanical systems at the boundary

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