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.
Revisiting the logarithmic corrections to the black hole entropy
11 Pith papers cite this work. Polarity classification is still indexing.
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.
citation-role summary
citation-polarity summary
roles
background 3polarities
background 3representative citing papers
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.
For charged de Sitter black holes, choosing the Bousso-Hawking observer normalization keeps the heat capacity finite in the Nariai limit, removing the expected log-T breakdown except in the cold and ultracold limits.
Near-extremal BTZ and warped BTZ in TMG receive log-T corrections from Schwarzian and rotational zero modes whose full-geometry eigenvalues match the throat after non-normalizable eigenfunction corrections and BC specification.
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
One-loop partition function from boundary graviton zero modes in the near-horizon AdS2 x S1 geometry produces logarithmic corrections to the semiclassical entropy of near-extremal black holes in New Massive Gravity.
Nucleated black holes in de Sitter space evaporate via standard Hawking radiation back to the empty vacuum, rendering nucleation a temporary fluctuation.
Quantum analysis of AdS3 supergravity path integrals at low temperature shows near-horizon region inequivalent to BTZ and sharpens near-extremal versus near-BPS distinctions.
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.
Schwarzian modes emerge from the general solution of BTZ perturbations at finite temperature with no rotational modes present, and are equivalently obtained via a Kerr-Schild construction that connects to the double copy.
Applies Lindblad open quantum system methods to quantum-corrected 3d AdS black holes to analyze Page curve zig-zag, greybody factors, and Lyapunov exponents in Cotler-Jensen theory.
citing papers explorer
-
Not all black holes decohere quantum superpositions
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
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.
-
Limits on the Statistical Description of Charged de Sitter Black Holes
For charged de Sitter black holes, choosing the Bousso-Hawking observer normalization keeps the heat capacity finite in the Nariai limit, removing the expected log-T breakdown except in the cold and ultracold limits.
-
Quantum corrections to the near-extremal thermodynamics of (warped) BTZ black holes
Near-extremal BTZ and warped BTZ in TMG receive log-T corrections from Schwarzian and rotational zero modes whose full-geometry eigenvalues match the throat after non-normalizable eigenfunction corrections and BC specification.
-
Universal Lichnerowicz Lifting of Near-Horizon Soft Modes
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
-
Logarithmic corrections to the entropy of near-extremal black holes in New Massive Gravity
One-loop partition function from boundary graviton zero modes in the near-horizon AdS2 x S1 geometry produces logarithmic corrections to the semiclassical entropy of near-extremal black holes in New Massive Gravity.
-
The Fate of Nucleated Black Holes in de Sitter Quantum Gravity
Nucleated black holes in de Sitter space evaporate via standard Hawking radiation back to the empty vacuum, rendering nucleation a temporary fluctuation.
-
Revisiting near-extremal and near-BPS black holes in AdS3 supergravity
Quantum analysis of AdS3 supergravity path integrals at low temperature shows near-horizon region inequivalent to BTZ and sharpens near-extremal versus near-BPS distinctions.
-
Hawking area law in quantum gravity
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.
-
From BTZ Perturbations to Schwarzian Modes: A Geometrical and Perturbative Analysis
Schwarzian modes emerge from the general solution of BTZ perturbations at finite temperature with no rotational modes present, and are equivalently obtained via a Kerr-Schild construction that connects to the double copy.
-
Black holes with quantum corrections in $3d$: The case of Page curve in Lindblad, greybody factor, and Lyapunov exponent
Applies Lindblad open quantum system methods to quantum-corrected 3d AdS black holes to analyze Page curve zig-zag, greybody factors, and Lyapunov exponents in Cotler-Jensen theory.