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The chiral WZNW phase space as a quasi-Poisson space

J. Balog·L. Feher·L. Palla
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Abstract

It is explained that the chiral WZNW phase space is a quasi-Poisson space with respect to the `canonical' Lie quasi-bialgebra which is the classical limit of Drinfeld's quasi-Hopf deformation of the universal enveloping algebra. This exemplifies the notion of quasi-Poisson-Lie symmetry introduced recently by Alekseev and Kosmann-Schwarzbach, and also permits us to generalize certain dynamical twists considered previously in this example.

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J. Balog, L. Feher, L. Palla. 2000-07-26. The chiral WZNW phase space as a quasi-Poisson space. https://doi.org/10.1016/s0375-9601(00)00696-4

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