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.
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A universal Schwarzian sector in two-dimensional conformal field theories
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abstract
We show that an extremely generic class of two-dimensional conformal field theories (CFTs) contains a sector described by the Schwarzian theory. This applies to theories with no additional symmetries and large central charge, but does not require a holographic dual. Specifically, we use bootstrap methods to show that in the grand canonical ensemble, at low temperature with a chemical potential sourcing large angular momentum, the density of states and correlation functions are determined by the Schwarzian theory, up to parametrically small corrections. In particular, we compute out-of-time-order correlators in a controlled approximation. For holographic theories, these results have a gravitational interpretation in terms of large, near-extremal rotating BTZ black holes, which have a near horizon throat with nearly AdS$_2 \times S^1$ geometry. The Schwarzian describes strongly coupled gravitational dynamics in the throat, which can be reduced to Jackiw-Teitelboim (JT) gravity interacting with a $U(1)$ field associated to transverse rotations, coupled to matter. We match the physics in the throat to observables at the AdS$_3$ boundary, reproducing the CFT results.
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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.
Entanglement entropies in 2d holographic CFTs are rewritten via crossing symmetry as algebraic Virasoro entropies whose O(c) piece is identified with the RT area through saddle-dominated Cardy density after coarse-graining heavy primaries into Liouville-momentum bins.
Inner horizon saddles supply the semiclassical correction -exp(A_inner/4G) to near-extremal black-hole entropy and motivate a spectral KSW criterion for well-defined one-loop effects around complex gravitational saddles.
Microscopic D-brane description of non-supersymmetric extremal black holes yields a unique ground state with non-zero energy, confirming absence of degeneracy.
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.
Two-loop effective string theory observables for Yang-Mills flux tubes in large-radius AdS are computed via transcendentality ansatz bootstrap, with Padé resummation used to probe interpolation toward small-radius weak-coupling AdS.
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.
citing papers explorer
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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.
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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.
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Ryu-Takayanagi area from Virasoro modular data
Entanglement entropies in 2d holographic CFTs are rewritten via crossing symmetry as algebraic Virasoro entropies whose O(c) piece is identified with the RT area through saddle-dominated Cardy density after coarse-graining heavy primaries into Liouville-momentum bins.
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Inner Horizon Saddles and a Spectral KSW Criterion
Inner horizon saddles supply the semiclassical correction -exp(A_inner/4G) to near-extremal black-hole entropy and motivate a spectral KSW criterion for well-defined one-loop effects around complex gravitational saddles.
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An extremal black hole with a unique ground state
Microscopic D-brane description of non-supersymmetric extremal black holes yields a unique ground state with non-zero energy, confirming absence of degeneracy.
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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.
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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.
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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.
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Yang-Mills Flux Tube in AdS II: Effective String Theory
Two-loop effective string theory observables for Yang-Mills flux tubes in large-radius AdS are computed via transcendentality ansatz bootstrap, with Padé resummation used to probe interpolation toward small-radius weak-coupling AdS.
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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.
- Large-c BCFT Entanglement Entropy with Deformed Boundaries from Emergent JT Gravity