Equivalences between GIT quotients of Landau-Ginzburg B-models
arXiv:0910.5534 · doi:10.1007/s00220-011-1232-y
Abstract
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.
v3: Added two references. Final version, to appear in Comm. Math. Phys
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Cited by in corpus (17)
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