Quasinormal Corrections to Near-Extremal Black Hole Thermodynamics

2024/09/23 by Kapec, Daniel, Law, Y. T. Albert, Toldo, Chiara · 9 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2409.14928

Abstract

Recent work on the quantum mechanics of near-extremal non-supersymmetric black holes has identified a characteristic T^3/2 scaling of the low temperature black hole partition function. This result has only been derived using the path integral in the near-horizon region and relies on many assumptions. We discuss how to derive the T^3/2 scaling for the near-extremal rotating BTZ black hole from a calculation in the full black hole background using the Denef-Hartnoll-Sachdev (DHS) formula, which expresses the 1-loop determinant of a thermal geometry in terms of a product over the quasinormal mode spectrum. We also derive the spectral measure for fields of any spin in Euclidean BTZ and use it to provide a new proof of the DHS formula and a new, direct derivation of the BTZ heat kernel. The computations suggest a path to proving the T^3/2 scaling for the asymptotically flat 4d Kerr black hole.

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• The Effects of Near-AdS₂ Backreaction on Matter Fields
• Entanglement Entropy of Quantum Corners
• One loop corrections to the thermodynamics of near-extremal Kerr-(A)dS black holes from Heun equation
• Untangling Selberg from the Wilson spool: 1-loop determinants and trace formulae in (A)dS₃
• Quantum Transparency of Near-extremal Black Holes
• Quasinormal bulk-edge characters of gravitons in Nariai geometry
• Gravitons on Nariai Edges

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