Gauging the Poisson sigma model

Details Gauging the Poisson sigma model Gauging the Poisson sigma model

2008-01-04

arxiv.org/abs/0801.0655v2

JHEP0805:018,2008

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, no figures. Typos corrected. Presentation improved

Scientific paper

10.1088/1126-6708/2008/05/018

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.

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