English

Hecke algebraic approach to the reflection equation for spin chains

High Energy Physics - Theory 2008-11-26 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0206076,
  title  = {Hecke algebraic approach to the reflection equation for spin chains},
  author = {A Doikou and P P Martin},
  journal= {arXiv preprint arXiv:hep-th/0206076},
  year   = {2008}
}

Comments

27 pages, multiple figures, latex

R2 v1 2026-07-22T15:11:24.938Z