Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-11-02
J.Math.Phys. 42 (2001) 2818-2843
Physics
High Energy Physics
High Energy Physics - Theory
harvmac, 41 pp., 2 figures. (v4: corrected errors; added explanations)
Scientific paper
10.1063/1.1374448
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.
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