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

2024/12/20 by Arnaudo, Paolo, Bonelli, Giulio, Tanzini, Alessandro · 1 citation
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2412.16057

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_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.

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