Non-supersymmetric Black Holes and Topological Strings

TL;DR

This paper explores non-supersymmetric extremal black holes in string theory, proposing a generalized OSV conjecture involving refined topological strings and analyzing their attractor mechanisms.

Contribution

It extends the OSV conjecture to non-supersymmetric black holes using Nekrasov's refined topological string and explicitly solves the inverse attractor problem.

Findings

Generalization of OSV conjecture for non-supersymmetric black holes

Explicit solution to the inverse attractor problem

Connection between black hole entropy and refined topological strings

Abstract

We study non-supersymmetric, extremal 4 dimensional black holes which arise upon compactification of type II superstrings on Calabi-Yau threefolds. We propose a generalization of the OSV conjecture for higher derivative corrections to the non-supersymmetric black hole entropy, in terms of the one parameter refinement of topological string introduced by Nekrasov. We also study the attractor mechanism for non-supersymmetric black holes and show how the inverse problem of fixing charges in terms of the attractor value of CY moduli can be explicitly solved.