Equivalences between GIT quotients of Landau-Ginzburg B-models

Details Equivalences between GIT quotients of Landau-Ginzburg B-models Equivalences between GIT quotients of Landau-Ginzburg B-models

2009-10-29

arxiv.org/abs/0910.5534v3

Commun.Math.Phys.304:411-432,2011

Mathematics

Algebraic Geometry

v3: Added two references. Final version, to appear in Comm. Math. Phys

Scientific paper

10.1007/s00220-011-1232-y

We define the category of B-branes in a (not necessarily affine) Landau-Ginzburg B-model, incorporating the notion of R-charge. Our definition is a direct generalization of the category of perfect complexes. We then consider pairs of Landau-Ginzburg B-models that arise as different GIT quotients of a vector space by a one-dimensional torus, and show that for each such pair the two categories of B-branes are quasi-equivalent. In fact we produce a whole set of quasi-equivalences indexed by the integers, and show that the resulting auto-equivalences are all spherical twists.

Affiliated with

Also associated with

No associations

Rating

Equivalences between GIT quotients of Landau-Ginzburg B-models 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 Equivalences between GIT quotients of Landau-Ginzburg B-models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivalences between GIT quotients of Landau-Ginzburg B-models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-404226