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

TL;DR

This paper investigates the OSV conjecture for 4D N=2 extremal black holes in type IIB string theory by comparing prepotentials and topological string free energies, confirming the conjecture's validity.

Contribution

It provides a detailed comparison between superstring theory calculations and topological string theory, validating the OSV conjecture for this class of black holes.

Findings

OSV conjecture holds for type IIB N=2 extremal black holes

Explicit calculations of prepotential and free energies match

Demonstrates the role of T-duality in the analysis

Abstract

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