Affine Poisson Groups and WZW Model

Ctirad Klimcík

Institute de mathématiques de Luminy, 163, Avenue de Luminy, 13288 Marseille, France

Abstract: 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 $q\to\infty$ limit of the $q$-deformed WZW model and the understanding of its symmetry structure results in uncovering an interesting duality of its exchange relations.

Keywords: Poisson–Lie symmetry; WZW model.

MSC: 81T40

Received: October 31, 2007; Published online January 11, 2008

Language: English

DOI: 10.3842/SIGMA.2008.003

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ArXiv: 0801.1754