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

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

2006-10-18

arxiv.org/abs/hep-th/0610209v2

J.Math.Phys.48:082304,2007

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, refs added + minor correction

Scientific paper

10.1063/1.2768185

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.

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