Non-supersymmetric Black Holes and 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.

47 pages, harvmac. v2: footnote(4) expanded, references added

References in corpus (7)

• Small Instantons, Little Strings and Free Fermions
• Seiberg-Witten Theory and Random Partitions
• Two Dimensional Yang-Mills, Black Holes and Topological Strings
• Attractors and the Holomorphic Anomaly
• On the partition sum of the NS five-brane
• Phase Structure of a Brane/Anti-Brane System at Large N
• BPS Microstates and the Open Topological String Wave Function

Cited by in corpus (11)

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• Stationary black holes and attractor mechanism
• N=8 non-BPS Attractors, Fixed Scalars and Magic Supergravities
• d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
• Non-BPS Attractors in 5d and 6d Extended Supergravity
• Attractors with Vanishing Central Charge
• Moduli Stabilization, Large-Volume dS Minimum Without anti-D3-Branes, (Non-)Supersymmetric Black Hole Attractors and Two-Parameter Swiss Cheese Calabi-Yau's
• Attractors in Black
• Separation of Attractors in 1-modulus Quantum Corrected Special Geometry
• Metastable Flux Configurations and de Sitter Spaces
• Non-Supersymmetric Attractors in Symmetric Coset Spaces