Hidden geometrical structures in integrable models

The bootstrap equations for the ADE series of purely elastic scattering theories have turned out to be intimately connected with the geometry of root systems and the Coxeter element. An informal review of some of this material is given, mentioning also a couple of other contexts -- the Pasquier mode...

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Autor principal: Dorey, Patrick
Lenguaje:eng
Publicado: 1993
Materias:
General Theoretical Physics
Particle Physics - Theory
Acceso en línea:http://cds.cern.ch/record/244812
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author Dorey, Patrick
author_facet Dorey, Patrick
author_sort Dorey, Patrick
collection CERN
description The bootstrap equations for the ADE series of purely elastic scattering theories have turned out to be intimately connected with the geometry of root systems and the Coxeter element. An informal review of some of this material is given, mentioning also a couple of other contexts -- the Pasquier models, and the simply-laced affine Toda field theories -- where similar structures are encountered. The relevance of twisted Coxeter elements is indicated, and a construction of these elements inspired by the twisted foldings of the affine Toda models is described.
id cern-244812
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1993
record_format invenio
spelling cern-2448122020-07-23T02:46:30Zhttp://cds.cern.ch/record/244812engDorey, PatrickHidden geometrical structures in integrable modelsGeneral Theoretical PhysicsParticle Physics - TheoryThe bootstrap equations for the ADE series of purely elastic scattering theories have turned out to be intimately connected with the geometry of root systems and the Coxeter element. An informal review of some of this material is given, mentioning also a couple of other contexts -- the Pasquier models, and the simply-laced affine Toda field theories -- where similar structures are encountered. The relevance of twisted Coxeter elements is indicated, and a construction of these elements inspired by the twisted foldings of the affine Toda models is described.The bootstrap equations for the ADE series of purely elastic scattering theories have turned out to be intimately connected with the geometry of root systems and the Coxeter element. An informal review of some of this material is given, mentioning also a couple of other contexts -- the Pasquier models, and the simply-laced affine Toda field theories -- where similar structures are encountered. The relevance of twisted Coxeter elements is indicated, and a construction of these elements inspired by the twisted foldings of the affine Toda models is described.hep-th/9212143NI-92018CERN-TH-6772-93CERN-TH-6772-93oai:cds.cern.ch:244812oai:cds.cern.ch:5661561993
spellingShingle General Theoretical Physics
Particle Physics - Theory
Dorey, Patrick
Hidden geometrical structures in integrable models
title Hidden geometrical structures in integrable models
title_full Hidden geometrical structures in integrable models
title_fullStr Hidden geometrical structures in integrable models
title_full_unstemmed Hidden geometrical structures in integrable models
title_short Hidden geometrical structures in integrable models
title_sort hidden geometrical structures in integrable models
topic General Theoretical Physics
Particle Physics - Theory
url http://cds.cern.ch/record/244812
work_keys_str_mv AT doreypatrick hiddengeometricalstructuresinintegrablemodels

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