Corrections to the statistical entropy of five dimensional black holes

Details Corrections to the statistical entropy of five dimensional black holes Corrections to the statistical entropy of five dimensional black holes

2008-07-01

arxiv.org/abs/0807.0237v3

JHEP 0906:024,2009

Physics

High Energy Physics

High Energy Physics - Theory

25 pages. Few changes and improvements. To be published in JHEP

Scientific paper

10.1088/1126-6708/2009/06/024

We compute the statistical entropy of the three charge (D1-D5-p) five dimensional black hole to sub-leading order in a large charge expansion. We find an agreement with the macroscopic calculation of the Wald entropy in R^2 corrected supergravity theory. The two calculations have a overlapping regime of validity which is not the Cardy regime. We use this result to clarify the 4d-5d lift for black holes on Taub-NUT space. In particular, we compute sub-leading corrections to the formula S^{4d} = S^{5d}. In the microscopic analysis, this correction arises from excitations bound to the Taub-NUT space. In the macroscopic picture, the difference is accounted by a mechanism present in a higher derivative theory wherein the geometry of the Taub-NUT space absorbes some of the electric charge.

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