Logarithmic corrections to black hole entropy from Kerr/CFT

TL;DR

This paper computes logarithmic corrections to black hole entropy microscopically within the Kerr/CFT framework, confirming previous macroscopic results and providing a consistency check for quantum microstate counting.

Contribution

It presents the first microscopic computation of logarithmic corrections to Kerr black hole entropy using string theory and Kerr/CFT correspondence, matching macroscopic predictions.

Findings

Microscopic calculations agree with macroscopic results.

Logarithmic corrections are confirmed for five-dimensional Kerr-Newman black holes.

Supports the validity of Kerr/CFT in quantum black hole entropy analysis.

Abstract

It has been shown by A. Sen that logarithmic corrections to the black hole area-entropy law are entirely determined macroscopically from the massless particle spectrum. They therefore serve as powerful consistency checks on any proposed enumeration of quantum black hole microstates. Sen's results include a macroscopic computation of the logarithmic corrections for a five-dimensional near extremal Kerr-Newman black hole. Here we compute these corrections microscopically using a stringy embedding of the Kerr/CFT correspondence and find perfect agreement.