Hecke algebraic approach to the reflection equation for spin chains

Anastasia Doikou; Paul P Martin

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

Hecke algebraic approach to the reflection equation for spin chains

Anastasia Doikou
, Paul P Martin

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

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.

Original language	English
Journal	Journal of Physics A: Mathematical and General
Volume	36
Issue number	9
DOIs	https://doi.org/10.1088/0305-4470/36/9/301
Publication status	Published - 7 Mar 2003

Keywords

hep-th

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10.1088/0305-4470/36/9/301

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title = "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.",

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AU - Martin, Paul P

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N2 - 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.

AB - 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.

KW - hep-th

U2 - 10.1088/0305-4470/36/9/301

DO - 10.1088/0305-4470/36/9/301

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VL - 36

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 9

ER -

Hecke algebraic approach to the reflection equation for spin chains

Abstract

Keywords

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