The Poisson sigma model on closed surfaces

Details The Poisson sigma model on closed surfaces The Poisson sigma model on closed surfaces

2011-10-21

arxiv.org/abs/1110.4850v4

Physics

High Energy Physics

High Energy Physics - Theory

32 pages; references added

Scientific paper

Using methods of formal geometry, the Poisson sigma model on a closed surface is studied in perturbation theory. The effective action, as a function on vacua, is shown to have no quantum corrections if the surface is a torus or if the Poisson structure is regular and unimodular (e.g., symplectic). In the case of a Kahler structure or of a trivial Poisson structure, the partition function on the torus is shown to be the Euler characteristic of the target; some evidence is given for this to happen more generally. The methods of formal geometry introduced in this paper might be applicable to other sigma models, at least of the AKSZ type.

Affiliated with

Also associated with

No associations

Rating

The Poisson sigma model on closed surfaces 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 The Poisson sigma model on closed surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Poisson sigma model on closed surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-85792