New Connections Between 4D and 5D Black Holes

Abstract

A simple equality is proposed between the BPS partition function of a general 4D IIA Calabi-Yau black hole and that of a 5D spinning M-theory Calabi-Yau black hole. Combining with recent results then leads to a new relation between the 5D spinning BPS black hole partition function and the square of the N=2 topological string partition function.

11 pages; version 2, with minor corrections and extended appendix

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• D--branes and Spinning Black Holes
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• Black Holes of D=5 Supergravity
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• Attractors and the Holomorphic Anomaly
• M-Theory, Topological Strings and Spinning Black Holes

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