Poisson reduction and branes in Poisson-Sigma models
High Energy Physics - Theory
2015-06-26 v2 Quantum Algebra
Abstract
We analyse the problem of boundary conditions for the Poisson-Sigma model and extend previous results showing that non-coisotropic branes are allowed. We discuss the canonical reduction of a Poisson structure to a submanifold, leading to a Poisson algebra that generalizes Dirac's construction. The phase space of the model on the strip is related to the (generalized) Dirac bracket on the branes through a dual pair structure.
Cite
@article{arxiv.hep-th/0405176,
title = {Poisson reduction and branes in Poisson-Sigma models},
author = {Ivan Calvo and Fernando Falceto},
journal= {arXiv preprint arXiv:hep-th/0405176},
year = {2015}
}
Comments
18 pages. Version to appear in Lett. Math. Phys