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

Publication ,  Journal Article
Aspinwall, PS
Published in: Journal of Mathematical Physics
September 7, 2007

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.

Duke Scholars

Published In

Journal of Mathematical Physics

DOI

ISSN

0022-2488

Publication Date

September 7, 2007

Volume

48

Issue

8

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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MLA
NLM
Aspinwall, P. S. (2007). Landau-Ginzburg to Calabi-Yau dictionary for D-branes. Journal of Mathematical Physics, 48(8). https://doi.org/10.1063/1.2768185
Aspinwall, P. S. “Landau-Ginzburg to Calabi-Yau dictionary for D-branes.” Journal of Mathematical Physics 48, no. 8 (September 7, 2007). https://doi.org/10.1063/1.2768185.
Aspinwall PS. Landau-Ginzburg to Calabi-Yau dictionary for D-branes. Journal of Mathematical Physics. 2007 Sep 7;48(8).
Aspinwall, P. S. “Landau-Ginzburg to Calabi-Yau dictionary for D-branes.” Journal of Mathematical Physics, vol. 48, no. 8, Sept. 2007. Scopus, doi:10.1063/1.2768185.
Aspinwall PS. Landau-Ginzburg to Calabi-Yau dictionary for D-branes. Journal of Mathematical Physics. 2007 Sep 7;48(8).

Published In

Journal of Mathematical Physics

DOI

ISSN

0022-2488

Publication Date

September 7, 2007

Volume

48

Issue

8

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences