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Non-supersymmetric black holes and topological strings

Kirill Saraikin1,3 and Cumrun Vafa1,2

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We study non-supersymmetric, extremal four-dimensional black holes which arise upon compactification of type II superstrings on Calabi–Yau (CY) threefolds. We propose a generalization of the Ooguri–Strominger–Vafa (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.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

11.25.Mj Compactification and four-dimensional models

11.25.Uv D branes

MSC

81T45 Topological field theories (See also 57R56, 58Dxx)

81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)

83E30 String and superstring theories (See also 81T30)

83C57 Black holes

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 9 (7 May 2008)

Received 15 November 2007, in final form 5 March 2008

Published 15 April 2008



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