Poisson-Dirac branes in Poisson-Sigma models

Abstract

We analyse the general boundary conditions (branes) consistent with the Poisson-sigma model and study the structure of the phase space of the model defined on the strip with these boundary conditions. Finally, we discuss the perturbative quantization of the model on the disc with a Poisson-Dirac brane and relate it to Kontsevich's formula for the deformation quantization of the Dirac bracket induced on the brane.

8pages. Contribution to the proceedings of the Conference Poisson 2004

Cited by in corpus (4)

• Generalized complex geometry, generalized branes and the Hitchin sigma model
• Supersymmetric WZ-Poisson sigma model and twisted generalized complex geometry
• Jacobi sigma models
• Topological and dynamical aspects of Jacobi sigma models