Landau-Ginzburg to Calabi-Yau dictionary for D-branes


Journal Article

Based on the work by Orlov (e-print arXiv:math.AG0503632), 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 with weighted projective spaces. We are able to confirm several conjectures and statements in the literature. © 2007 American Institute of Physics.

Full Text

Duke Authors

Cited Authors

  • Aspinwall, PS

Published Date

  • September 7, 2007

Published In

Volume / Issue

  • 48 / 8

International Standard Serial Number (ISSN)

  • 0022-2488

Digital Object Identifier (DOI)

  • 10.1063/1.2768185

Citation Source

  • Scopus