The statistical mechanics of near-extremal black holes

Abstract

An important open question in black hole thermodynamics is about the existence of a "mass gap" between an extremal black hole and the lightest near-extremal state within a sector of fixed charge. In this paper, we reliably compute the partition function of Reissner-Nordström near-extremal black holes at temperature scales comparable to the conjectured gap. We find that the density of states at fixed charge does not exhibit a gap; rather, at the expected gap energy scale, we see a continuum of states. We compute the partition function in the canonical and grand canonical ensembles, keeping track of all the fields appearing through a dimensional reduction on $S^2$ in the near-horizon region. Our calculation shows that the relevant degrees of freedom at low temperatures are those of $2d$ Jackiw-Teitelboim gravity coupled to the electromagnetic $U(1)$ gauge field and to an $SO(3)$ gauge field generated by the dimensional reduction.

arXiv comment54 pp; v3 Corrected statements on page 11 regarding validity of gluing procedure

References in corpus (65)

• A Stress Tensor for Anti-de Sitter Gravity
• Comments on the Sachdev-Ye-Kitaev model
• Charged AdS Black Holes and Catastrophic Holography
• Breaking an Abelian gauge symmetry near a black hole horizon
• Replica Wormholes and the Entropy of Hawking Radiation
• D-brane Approach to Black Hole Quantum Mechanics
• Chaos in AdS${}_2$ holography
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• An Investigation of AdS${}_2$ Backreaction and Holography
• Anti-de Sitter Fragmentation
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Emergent quantum criticality, Fermi surfaces, and AdS2
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Non-Fermi liquids from holography
• Entropy, Area, and Black Hole Pairs
• The gravity dual of a p-wave superconductor
• Fermionic Localization of the Schwarzian Theory
• Near-horizon symmetries of extremal black holes
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
• D-branes and Fat Black Holes
• Solving the Schwarzian via the Conformal Bootstrap
• Duality between Electric and Magnetic Black Holes
• Holography and the Weyl anomaly
• Universal Low-Energy Dynamics for Rotating Black Holes
• AdS${}_2$ holography and the SYK model
• JT gravity as a matrix integral
• More on Supersymmetric and 2d Analogs of the SYK Model
• Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
• The Quantum Gravity Dynamics of Near Extremal Black Holes
• On the Dynamics of Near-Extremal Black Holes
• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
• Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Higher Dimensional Generalizations of the SYK Model
• Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
• Statistical mechanics of a two-dimensional black hole
• Models of AdS_2 Backreaction and Holography
• Towards a 2d QFT Analog of the SYK Model
• An exact quantization of Jackiw-Teitelboim gravity
• A universal Schwarzian sector in two-dimensional conformal field theories
• Thermodynamics of Black Holes in Two (and Higher) Dimensions
• 5D Rotating Black Holes and the nAdS${}_2$/nCFT${}_1$ Correspondence
• Shockwave S-matrix from Schwarzian Quantum Mechanics
• Defects in Jackiw-Teitelboim Quantum Gravity
• Conformal Symmetry Breaking and Thermodynamics of Near-Extremal Black Holes
• Universal low temperature theory of charged black holes with AdS${}_2$ horizons
• Expanding the Black Hole Interior: Partially Entangled Thermal States in SYK
• Conformal Bootstrap At Large Charge
• Jackiw-Teitelboim Gravity and Rotating Black Holes
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• Matrix ensembles with global symmetries and 't Hooft anomalies from 2d gauge theory
• Consistent S^2 Pauli Reduction of Six-dimensional Chiral Gauged Einstein-Maxwell Supergravity
• Beyond Logarithmic Corrections to Cardy Formula
• Marginal Deformations and Rotating Horizons
• Two dimensional Nearly de Sitter gravity
• Breaking away from the near horizon of extreme Kerr
• Supergravity spectrum on AdS_2 x S^2
• A One-Loop Test of the near-AdS${}_2$/near-CFT${}_1$ Correspondence
• Quantum Corrections to Supergravity on AdS${}_2\times S^2$
• Black Hole Spectroscopy and AdS${}_2$ Holography
• The statistical mechanics of near-BPS black holes
• Near-extremal black holes at late times, backreacted
• On 2D gauge theories in Jackiw-Teitelboim gravity
• The Scales of Black Holes with nAdS${}_2$ Geometry
• Thermodynamics of Near-Extreme Black Holes

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• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• The Weak Gravity Conjecture: A Review
• A violation of global symmetries from replica wormholes and the fate of black hole remnants
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• New boundary conditions for AdS${}_2$
• Gravity factorized
• A proposal for 3d quantum gravity and its bulk factorization
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• Alpha states demystified: Towards microscopic models of AdS${}_2$ holography
• Two dimensional Nearly de Sitter gravity
• A universal formula for the density of states in theories with finite-group symmetry
• Scrambling and decoding the charged quantum information
• Gravitational perturbations from NHEK to Kerr
• Rotating 5D Black Holes: Interactions and deformations near extremality
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• From black holes to baby universes in CGHS gravity
• The statistical mechanics of near-BPS black holes
• Non-topological logarithmic corrections in minimal gauged supergravity
• A quantum mechanics for magnetic horizons
• Equivalence of JT Gravity and Near-extremal Black Hole Dynamics in Higher Derivative Theory
• Near-Extremal Limits of Warped CFTs
• The Phase Diagram of BPS Black Holes in AdS${}_5$
• Non-extremal, ${\alpha }^{\prime }$-corrected black holes in 5-dimensional Heterotic Superstring Theory
• Near Conformal Perturbation Theory in SYK Type Models
• Operational islands and black hole dissipation in JT gravity
• Gauge theories with non-trivial boundary conditions: Black holes
• A Microscopic Model of Black Hole Evaporation in Two Dimensions
• Freudenthal duality of near-extremal black holes and Jackiw-Teitelboim gravity
• Multi-boundary correlators in JT gravity
• Thermodynamics of BPS and Near-BPS AdS6 Black Holes
• Near-AdS${}_2$ Spectroscopy: classifying the spectrum of operators and interactions in $\mathcal{N}=2$ 4D supergravity
• A note on the action with the Schwarzian at the stretched horizon
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model