The chiral WZNW phase space as a quasi-Poisson space

Details The chiral WZNW phase space as a quasi-Poisson space The chiral WZNW phase space as a quasi-Poisson space

2000-07-06

arxiv.org/abs/hep-th/0007045v2

Phys.Lett. A277 (2000) 107-114

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, expanded by a new section in v2

Scientific paper

10.1016/S0375-9601(00)00696-4

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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