D-brane stability and monodromy

2001/10/31 by Paul S. Aspinwall, Michael R. Douglas
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Axiom #Black Holes and Theoretical Physics #Brane #Brane cosmology #Calabi–Yau manifold #Computer science #Conifold #Conjecture #Context (archaeology) #Geometry #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mathematical physics #Mathematics #Monodromy #Physics #Pure mathematics #Quantum mechanics #Quintic function #Stability (learning theory) #Supersymmetry #Theoretical physics #hep-th #math.AG

paper · pdf · doi:10.1088/1126-6708/2002/05/031

published as JHEP 0205 (2002) 031 · 35 pages, 8 figures, refs added

arxiv created 2001/12/04 · openalex publication_date 2002/05/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We review the idea of Pi-stability for B-type D-branes on a Calabi-Yau manifold. It is shown that the octahedral axiom from the theory of derived categories is an essential ingredient in the study of stability. Various examples in the context of the quintic Calabi-Yau threefold are studied and we plot the lines of marginal stability in several cases. We derive the conjecture of Kontsevich, Horja and Morrison for the derived category version of monodromy around a "conifold" point. Finally, we propose an application of these ideas to the study of supersymmetry breaking.

Citations

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Cited by

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