On Exponentially Suppressed Corrections to BMPV Black Hole Entropy

TL;DR

This paper investigates exponentially suppressed corrections to BMPV black hole entropy, matching microscopic degeneracy formulas with macroscopic quantum entropy calculations for large charges.

Contribution

It identifies saddle points in the quantum entropy function that correspond to these corrections, enhancing understanding of black hole microstate counting.

Findings

Matching of microscopic and macroscopic entropy terms in large charge limit

Identification of saddle points corresponding to suppressed corrections

Clarification of the structure of quantum entropy for BMPV black holes

Abstract

The microscopic formula for the degeneracy of BMPV black hole microstates contains a series of exponentially suppressed corrections to the leading Bekenstein Hawking expression. We identify saddle points of the quantum entropy function for the BMPV black hole which are natural counterparts to these corrections and discuss the matching of leading and next-to-leading terms from the microscopic and macroscopic sides in a limit where the black hole charges are large.