Equivalences Between GIT Quotients of Landau-Ginzburg B-Models

  title={Equivalences Between GIT Quotients of Landau-Ginzburg B-Models},
  author={Ed Segal},
  journal={Communications in Mathematical Physics},
  • Ed Segal
  • Published 29 October 2009
  • Mathematics
  • Communications in Mathematical Physics
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… 
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