The Landau-Ginzburg to Calabi-Yau Dictionary for D-Branes

Abstract

Based on work by Orlov, we give a precise recipe for mapping between B-type D-branes in a Landau-Ginzburg orbifold model (or Gepner model) and the corresponding large-radius Calabi-Yau manifold. The D-branes in Landau-Ginzburg theories correspond to matrix factorizations and the D-branes on the Calabi-Yau manifolds are objects in the derived category. We give several examples including branes on quotient singularities associated to weighted projective spaces. We are able to confirm several conjectures and statements in the literature.

24 pages, refs added + minor correction

References in corpus (2)

• Generalised N=2 permutation branes
• Derived autoequivalences and a weighted Beilinson resolution

Cited by in corpus (8)

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• Orientifolds and D-branes in N=2 gauged linear sigma models
• On the Correspondence of Open and Closed Strings
• Matrix Factorizations For Non-Abelian Orbifolds