Hecke algebraic approach to the reflection equation for spin chains

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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27 pages, multiple figures, latex

Scientific paper

10.1088/0305-4470/36/9/301

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.

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