2006/10/31 by Paul S. Aspinwall
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Brane cosmology #Calabi–Yau manifold #Gravitational singularity #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Orbifold #Physics #Pure mathematics #Quotient #Theoretical physics #hep-th
paper · pdf · doi:10.1063/1.2768185
published as J.Math.Phys.48:082304,2007 · 24 pages, refs added + minor correction
arxiv created 2006/11/22 · openalex publication_date 2007/08/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Based on the work by Orlov (e-print arXiv:math.AG∕0503632), 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.