Affine Poisson Groups and WZW Model

We give a detailed description of a dynamical system which enjoys a Poisson-Lie symmetry with two non-isomorphic dual groups. The system is obtained by taking the q → ∞ limit of the q-deformed WZW model and the understanding of its symmetry structure results in uncovering an interesting duality of i...

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Main Author: Ctirad Klimcík
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2008-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2008.003
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author Ctirad Klimcík
author_facet Ctirad Klimcík
author_sort Ctirad Klimcík
collection DOAJ
description We give a detailed description of a dynamical system which enjoys a Poisson-Lie symmetry with two non-isomorphic dual groups. The system is obtained by taking the q → ∞ limit of the q-deformed WZW model and the understanding of its symmetry structure results in uncovering an interesting duality of its exchange relations.
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spelling doaj.art-02c872e724564644894558874e0e8bb92022-12-22T00:45:54ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592008-01-014003Affine Poisson Groups and WZW ModelCtirad KlimcíkWe give a detailed description of a dynamical system which enjoys a Poisson-Lie symmetry with two non-isomorphic dual groups. The system is obtained by taking the q → ∞ limit of the q-deformed WZW model and the understanding of its symmetry structure results in uncovering an interesting duality of its exchange relations.http://dx.doi.org/10.3842/SIGMA.2008.003Poisson-Lie symmetryWZW model
spellingShingle Ctirad Klimcík
Affine Poisson Groups and WZW Model
Symmetry, Integrability and Geometry: Methods and Applications
Poisson-Lie symmetry
WZW model
title Affine Poisson Groups and WZW Model
title_full Affine Poisson Groups and WZW Model
title_fullStr Affine Poisson Groups and WZW Model
title_full_unstemmed Affine Poisson Groups and WZW Model
title_short Affine Poisson Groups and WZW Model
title_sort affine poisson groups and wzw model
topic Poisson-Lie symmetry
WZW model
url http://dx.doi.org/10.3842/SIGMA.2008.003
work_keys_str_mv AT ctiradklimcik affinepoissongroupsandwzwmodel