Revisiting Logarithmic Correction to Five Dimensional BPS Black Hole Entropy

TL;DR

This paper calculates logarithmic corrections to five-dimensional BPS black hole entropy using finite temperature geometry, confirming agreement with microscopic and zero-temperature macroscopic results, and reproduces the Bekenstein-Hawking entropy.

Contribution

It provides a unified computation of logarithmic corrections from finite temperature geometry, aligning with microscopic and zero-temperature macroscopic results.

Findings

Logarithmic corrections match microscopic predictions.

Finite temperature geometry reproduces zero-temperature entropy.

Bekenstein-Hawking term derived from finite temperature analysis.

Abstract

We compute logarithmic correction to five dimensional BPS black hole entropy using finite temperature black hole geometry and find perfect agreement with the microscopic results and macroscopic computations based on zero temperature near horizon geometry. We also reproduce the Bekenstein-Hawking term for zero temperature black hole entropy from the corresponding term for finite temperature black hole.