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Revisiting the logarithmic corrections to the black hole entropy

11 Pith papers cite this work. Polarity classification is still indexing.

11 Pith papers citing it
abstract

Logarithmic corrections to the entropy of extremal black holes have been successfully used to accurately match degeneracies from microscopic constructions to calculations of the gravitational path integral. In this paper, we revisit the problem of deriving such corrections for the case of extremal black holes, either non-supersymmetric or supersymmetric, and for near-extremal black holes. The zero-modes that are present at extremality are crucial, since their path integral cannot be treated quadratically and needs to be regulated. We show how the regulated result can be obtained by taking the zero-temperature limit of either the $4d$ Einstein-Maxwell or $4d$ supergravity path integral to find the Schwarzian or super-Schwarzian theories. This leads to drastically different estimates for the degeneracy of non-supersymmetric and supersymmetric extremal black holes. In a companion paper, we discuss how such zero-modes affect the calculation of BPS black holes degeneracies, using supersymmetric localization for an exact computation of the gravitational path integral.

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2026 9 2025 2

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representative citing papers

Not all black holes decohere quantum superpositions

hep-th · 2026-05-22 · unverdicted · novelty 7.0

Near-extremal charged black holes make decoherence of charged particle superpositions vanish at late times via a spin-induced energy gap from quantum metric fluctuations.

One-loop effect in the charged 2D black hole near extremality

hep-th · 2026-04-16 · unverdicted · novelty 7.0

The one-loop correction to near-extremal quantum entropy in this charged 2D black hole is exponentially suppressed at low temperature but scales as sqrt(beta) when the sl(2,R) level and SL(2,R)-U(1) coupling are tuned, providing a worldsheet realization of the black hole/string transition.

Universal Lichnerowicz Lifting of Near-Horizon Soft Modes

hep-th · 2026-06-25 · unverdicted · novelty 5.0

The universal logarithmic temperature dependence in near-extremal black hole thermodynamics originates from the first-order lifting of Lichnerowicz tensor zero modes in a 2D maximally symmetric throat, which after normalization projects to the Schwarzian sector independently of parent geometry detai

Hawking area law in quantum gravity

gr-qc · 2026-04-20 · conditional · novelty 5.0

If Hawking's area law is taken as exact, nonlocal and Stelle quantum-gravity theories are forced to drop R^2 and (Riemann)^2 terms (or use singular Ricci-flat black holes), and the standard entropy-area law follows as a consequence.

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