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D-branes, Categories and N=1 Supersymmetry
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We show that boundary conditions in topological open string theory on Calabi-Yau manifolds are objects in the derived category of coherent sheaves, as foreseen in the homological mirror symmetry proposal of Kontsevich. Together with conformal field theory considerations, this leads to a precise criterion determining the BPS branes at any point in CY moduli space, completing the proposal of Pi-stability.
Forward citations
Cited by 3 Pith papers
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Orientifolds of Gepner models without K\"ahler moduli
Exhaustive enumeration of Landau-Ginzburg orientifold models without Kähler moduli, with computed complex structure moduli numbers and tadpole charges to flag perturbative stabilization candidates.
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Stability conditions on the canonical line bundle of $\mathbb{P}^3$
The paper proves a Bogomolov-Gieseker type inequality for local P^3 and uses it to construct families of geometric stability conditions and boundary points of the geometric chamber.
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Localization, Factorization and Dualities for Elliptic Kernels
Computes boundary-to-boundary elliptic kernels via localization for 4d N=1 theories and proves rank-changing Seiberg dualities as Jeffrey-Kirwan residue identities.
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