Hamiltonian loop group actions and T-duality for group manifolds

@article{Cabrera2006HamiltonianLG,
  title={Hamiltonian loop group actions and T-duality for group manifolds},
  author={A. Cabrera and H. Montani},
  journal={Journal of Geometry and Physics},
  year={2006},
  volume={56},
  pages={1116-1143}
}
Abstract We carry out a Hamiltonian analysis of Poisson-Lie T-duality based on the loop geometry of the underlying phases spaces of the dual sigma and WZW models. Duality is fully characterized by the existence of equivariant momentum maps on the phase-spaces such that the reduced phase-space of the WZW model and a pure central extension coadjoint orbit work as a bridge linking both the sigma models. These momentum maps are associated to Hamiltonian actions of the loop group of the Drinfeld… Expand
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