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.

17 pages, no figures, typos corrected, minor changaes, references added

References in corpus (5)

• Two Dimensional Yang-Mills, Black Holes and Topological Strings
• Attractors and the Holomorphic Anomaly
• On some properties of the Attractor Equations
• BPS Microstates and the Open Topological String Wave Function
• From BPS to Non-BPS Black Holes Canonically

Cited by in corpus (6)

• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• 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