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

32 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

Access to Document

10.1088/0305-4470/36/9/301

Cite this

@article{94503012aae54f1587ae58f6e809cbb3,

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.",

keywords = "hep-th",

author = "Anastasia Doikou and Martin, {Paul P}",

note = "27 pages, multiple figures, latex",

year = "2003",

month = mar,

day = "7",

doi = "10.1088/0305-4470/36/9/301",

language = "English",

volume = "36",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing ",

number = "9",

}

TY - JOUR

T1 - Hecke algebraic approach to the reflection equation for spin chains

AU - Doikou, Anastasia

AU - Martin, Paul P

N1 - 27 pages, multiple figures, latex

PY - 2003/3/7

Y1 - 2003/3/7

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

M3 - Article

SN - 0305-4470

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

Access to Document

Fingerprint

Cite this