One-loop corrections to near extremal Kerr thermodynamics from semiclassical Virasoro blocks

TL;DR

This paper develops a method to compute one-loop quantum corrections to black hole entropy using Virasoro semiclassical blocks, revealing universal near-horizon contributions in Kerr black holes.

Contribution

It introduces an exact approach to calculate quantum corrections to black hole entropy via Virasoro blocks, specifically analyzing near-extremal Kerr black holes.

Findings

Long-lived modes cause specific logarithmic entropy corrections.

Near-horizon region dominates the leading quantum contribution.

Results are universal for various asymptotic conditions.

Abstract

We propose a method to perform an exact calculation of one-loop quantum corrections to black hole entropy in terms of Virasoro semiclassical blocks. We analyse in detail four-dimensional Kerr black hole and show that in the near-extremal limit a branch of long-lived modes arises. We prove that the contribution of these modes accounts for a $(s-1/2)\log T_{\text{Hawking}}$ correction to the entropy for massless particles of spin $s=1,2$. We show that in the full calculation performed in the exact Kerr background the leading contribution actually is sourced by the near-horizon region only, and as such has a universal validity for any asymptotic behavior at infinity.