Duality and black hole partition functions

Details Duality and black hole partition functions Duality and black hole partition functions

2007-03-05

arxiv.org/abs/hep-th/0703036v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, based on talk given at the 11th Marcel Grossmann meeting, Berlin, July 23-29, 2006

Scientific paper

Supersymmetric black holes provide an excellent theoretical laboratory to test ideas about quantum gravity in general and black hole entropy in particular. When four-dimensional supergravity is interpreted as the low-energy approximation of ten-dimensional string theory or eleven-dimensional M-theory, one has a microscopic description of the black hole which allows one to count microstates and to compare the result to the macroscopic (geometrical) entropy. Recently it has been conjectured that there is a very direct connection between the partition function of the topological string and a partition function for supersymmetric black holes. We review this idea and propose a modification which makes it compatible with electric-magnetic duality.

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