Star products and branes in Poisson-Sigma models
High Energy Physics - Theory
2010-07-07 v2 Quantum Algebra
Abstract
We prove that non-coisotropic branes in the Poisson-Sigma model are allowed at the quantum level. When the brane is defined by second-class constraints, the perturbative quantization of the model yields the Kontsevich's star product associated to the Dirac bracket on the brane. We also discuss the quantization when both first and second-class constraints are present.
Cite
@article{arxiv.hep-th/0507050,
title = {Star products and branes in Poisson-Sigma models},
author = {Ivan Calvo and Fernando Falceto},
journal= {arXiv preprint arXiv:hep-th/0507050},
year = {2010}
}
Comments
18 pages; Final version to appear in Commun. Math. Phys