Topological Poisson sigma models on Poisson-Lie groups

  title={Topological Poisson sigma models on Poisson-Lie groups},
  author={Iv{\'a}n Calvo and Fernando Falceto}
We solve the topological Poisson Sigma model for a Poisson-Lie group G and its dual G∗. We show that the gauge symmetry for each model is given by its dual group that acts by dressing transformations on the target. The resolution of both models in the open geometry reveals that there exists a map from the reduced phase of each model (P and P ∗) to the main symplectic leaf of the Heisenberg double (D0) such that the symplectic forms on P , P ∗ are obtained as the pullback by those maps of the… CONTINUE READING