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In this survey we study the OSV conjecture for 4D N=2 extremal black holes oftype IIB suprstring theory. We apply T-duality to find the generalizedprepotential of the low energy limit of this superstring theory up to one-looporder in the closed string coupling. On the other hand, we calculate thetree-level and one-loop free energies of B-model topological string theory. Tocompare them we will explicitly show that the OSV conjecture holds for type IIBN=2 extremal black holes.

Study of the OSV Conjecture for 4D N=2 Extremal Black Holes in Type IIB String Theory