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Attractor black holes and quantum distribution functions

Using the attractor mechanism and the wavefunction interpretation of the topological string partition function on a Calabi Yau threefold M we study the relation between the Bekenstein‐Hawking‐Wald entropy of BPS Calabi‐Yau black holes and quantum distribution functions defined on H3(M). We discuss the OSV conjecture in this context. This talk is based on [1].