Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 4 (2008), 003, 5 pages      arXiv:0801.1754      https://doi.org/10.3842/SIGMA.2008.003
Contribution to the Proceedings of the Seventh International Conference Symmetry in Nonlinear Mathematical Physics

Affine Poisson Groups and WZW Model

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

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

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 → ∞ limit of the q-deformed WZW model and the understanding of its symmetry structure results in uncovering an interesting duality of its exchange relations.

Key words: Poisson-Lie symmetry; WZW model.

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