The Landau-Ginzburg to Calabi-Yau Dictionary for D-Branes
arXiv:hep-th/0610209 · doi:10.1063/1.2768185
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.
arXiv comment24 pages, refs added + minor correction
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Cited by in corpus (17)
- Homological Mirror Symmetry for Calabi-Yau hypersurfaces in projective space
- D-brane superpotentials and RG flows on the quintic
- D-branes and Normal Functions
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- Moduli Webs and Superpotentials for Five-Branes
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