Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates

TL;DR

This paper calculates logarithmic corrections to N=2 black hole entropy using low energy data, providing a test for quantum gravity models and comparing different proposals for the OSV measure.

Contribution

It offers a computation of logarithmic entropy corrections for N=2 supersymmetric black holes and tests the OSV measure proposals against these results.

Findings

Agreement with Denef and Moore's measure at weak topological string coupling

Logarithmic corrections computed for Reissner-Nordstrom black holes

Constraints on microscopic quantum gravity theories from entropy corrections

Abstract

Logarithmic corrections to the extremal black hole entropy can be computed purely in terms of the low energy data -- the spectrum of massless fields and their interaction. The demand of reproducing these corrections provides a strong constraint on any microscopic theory of quantum gravity that attempts to explain the black hole entropy. Using quantum entropy function formalism we compute logarithmic corrections to the entropy of half BPS black holes in N=2 supersymmetric string theories. Our results allow us to test various proposals for the measure in the OSV formula, and we find agreement with the measure proposed by Denef and Moore if we assume their result to be valid at weak topological string coupling. Our analysis also gives the logarithmic corrections to the entropy of extremal Reissner-Nordstrom black holes in ordinary Einstein-Maxwell theory.