Cluster decomposition, T-duality, and gerby CFT's

Details Cluster decomposition, T-duality, and gerby CFT's Cluster decomposition, T-duality, and gerby CFT's

2006-06-05

arxiv.org/abs/hep-th/0606034v5

Adv.Theor.Math.Phys.11:751-818,2007

Physics

High Energy Physics

High Energy Physics - Theory

61 pages, LaTeX; v2,3: typos fixed; v4: writing improved in several sections; v5: typos fixed

Scientific paper

In this paper we study CFT's associated to gerbes. These theories suffer from a lack of cluster decomposition, but this problem can be resolved: the CFT's are the same as CFT's for disconnected targets. Such theories also lack cluster decomposition, but in that form, the lack is manifestly not very problematic. In particular, we shall see that this matching of CFT's, this duality between noneffective gaugings and sigma models on disconnected targets, is a worldsheet duality related to T-duality. We perform a wide variety of tests of this claim, ranging from checking partition functions at arbitrary genus to D-branes to mirror symmetry. We also discuss a number of applications of these results, including predictions for quantum cohomology and Gromov-Witten theory and additional physical understanding of the geometric Langlands program.

Affiliated with

Also associated with

No associations

Rating

Cluster decomposition, T-duality, and gerby CFT's 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 Cluster decomposition, T-duality, and gerby CFT's, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cluster decomposition, T-duality, and gerby CFT's will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-542070