Partition function of non-supersymmetric black holes in the supergravity limit

Abstract

In this note, we propose the free energy of general \emph{non-supersymmetric} black hole attractors arising in type IIA(B) superstrings on 3-fold Calabi-Yau, in the supergravity limit. This, by definition, differs from its counterpart BPS free energy by a factor of $4$. Correspondingly, a mixed ensemble for these black holes is proposed.

arXiv comment17 pages, no figures, typos corrected, minor changaes, references added

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• Rotating Attractors
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• On N=8 attractors
• Exact Attractive Non-BPS STU Black Holes
• Non-supersymmetric Black Holes and Topological Strings
• New Attractors, Entropy Function and Black Hole Partition Function
• One entropy function to rule them all
• Extremal dyonic black holes in D=4 Gauss-Bonnet gravity
• Global solutions for higher-dimensional stretched small black holes
• A Note on Exact Solutions and Attractor Mechanism for Non-BPS Black Holes
• The fate of flat directions in higher derivative gravity