Affine Poisson Groups and WZW Model

Physics – Mathematical Physics

Scientific paper

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This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2008.003

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.

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