Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model

Details Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model

2003-09-10

arxiv.org/abs/math/0309180v4

Lett.Math.Phys. 69 (2004) 157-175

Mathematics

Quantum Algebra

21 pages, 2 figures; minor corrections, references updated; final version

Scientific paper

10.1007/s11005-004-0609-7

General boundary conditions ("branes") for the Poisson sigma model are studied. They turn out to be labeled by coisotropic submanifolds of the given Poisson manifold. The role played by these boundary conditions both at the classical and at the perturbative quantum level is discussed. It turns out to be related at the classical level to the category of Poisson manifolds with dual pairs as morphisms and at the perturbative quantum level to the category of associative algebras (deforming algebras of functions on Poisson manifolds) with bimodules as morphisms. Possibly singular Poisson manifolds arising from reduction enter naturally into the picture and, in particular, the construction yields (under certain assumptions) their deformation quantization.

Affiliated with

Also associated with

No associations

Rating

Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-349015