Corrections to the statistical entropy of five dimensional black holes

Abstract

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.

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

References in corpus (5)

• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• String Theory Effects on Five-Dimensional Black Hole Physics
• On R**2 Corrections for 5D Black Holes
• alpha'-exact entropies for BPS and non-BPS extremal dyonic black holes in heterotic string theory from ten-dimensional supersymmetry
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory

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