Gauging the Poisson sigma model
arXiv:0801.0655 · doi:10.1088/1126-6708/2008/05/018
Abstract
We show how to carry out the gauging of the Poisson sigma model in an AKSZ inspired formulation by coupling it to the a generalization of the Weil model worked out in ref. arXiv:0706.1289 [hep-th]. We call the resulting gauged field theory, Poisson--Weil sigma model. We study the BV cohomology of the model and show its relation to Hamiltonian basic and equivariant Poisson cohomology. As an application, we carry out the gauge fixing of the pure Weil model and of the Poisson--Weil model. In the first case, we obtain the 2--dimensional version of Donaldson--Witten topological gauge theory, describing the moduli space of flat connections on a closed surface. In the second case, we recover the gauged A topological sigma model worked out by Baptista describing the moduli space of solutions of the so--called vortex equations.
49 pages, no figures. Typos corrected. Presentation improved
References in corpus (13)
- Generalized complex geometry
- Generalized Kahler manifolds and off-shell supersymmetry
- Topological sigma-models with H-flux and twisted generalized complex manifolds
- Poisson sigma model on the sphere
- The biHermitian topological sigma model
- The Hitchin Model, Poisson-quasi-Nijenhuis Geometry and Symmetry Reduction
- Brackets, Sigma Models and Integrability of Generalized Complex Structures
- Generalized complex geometry and supersymmetric non-linear sigma models
- Twisting gauged non-linear sigma-models
- The general (2,2) gauged sigma model with three--form flux
- BiHermitian Supersymmetric Quantum Mechanics
- Gauged (2,2) Sigma Models and Generalized Kahler Geometry
- Topological twisted sigma model with H-flux revisited