The chiral WZNW phase space as a quasi-Poisson space
High Energy Physics - Theory
2009-10-31 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.hep-th/0007045,
title = {The chiral WZNW phase space as a quasi-Poisson space},
author = {J. Balog and L. Feher and L. Palla},
journal= {arXiv preprint arXiv:hep-th/0007045},
year = {2009}
}
Comments
11 pages, LaTeX, expanded by a new section in v2