Proposes stress tensor deformation dictionary in dS/CFT via metric-flow and mixed boundary conditions at future infinity, with exact consistency check in Kerr-dS3/CFT2 and pseudo entropy computations for TTbar and root-TTbar deformations.
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Geometry of the 2+1 Black Hole
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abstract
The geometry of the spinning black holes of standard Einstein theory in 2+1 dimensions, with a negative cosmological constant and without couplings to matter, is analyzed in detail. It is shown that the black hole arises from identifications of points of anti-de Sitter space by a discrete subgroup of $SO(2,2)$. The generic black hole is a smooth manifold in the metric sense. The surface $r=0$ is not a curvature singularity but, rather, a singularity in the causal structure. Continuing past it would introduce closed timelike lines. However, simple examples show the regularity of the metric at $r=0$ to be unstable: couplings to matter bring in a curvature singularity there. Kruskal coordinates and Penrose diagrams are exhibited. Special attention is given to the limiting cases of (i) the spinless hole of zero mass, which differs from anti-de Sitter space and plays the role of the vacuum, and (ii) the spinning hole of maximal angular momentum . A thorough classification of the elements of the Lie algebra of $SO(2,2)$ is given in an Appendix.
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A coordinate map from AdS3 to BTZ allows construction of circular strings, magnons, and plane waves whose SL(2,R) charges are related by a boost, dual to asymmetric local quenches in the thermal CFT.
In AdS3 gravity with double-trace scalar boundary conditions, zero-frequency boson stars are the true ground state below the instability threshold, and hairy black holes carry higher entropy than BTZ at fixed mass and angular momentum.
Pole-skipping data encodes enough information to reconstruct the full metric of 3D rotating black holes and the radial functions of 4D separable rotating black holes, with Einstein equations becoming algebraic constraints on that data.
Black hole horizons in 2+1D are composed of quantized length quanta 8π ℓ_P n, producing entropy near the Bekenstein-Hawking value and a local Hawking spectrum via a length ensemble.
3D hairy rotating black holes have interiors consisting of an infinite analytically describable sequence of Kasner epochs that evolve into a curvature singularity.
Proposes that AdS3 gravity at finite cutoff is dual to a CFT2 coupled to timelike Liouville theory deformed by a marginal operator, with checks via semiclassical partition functions and EOM matching.
The paper shows that Euclidean axion wormholes remain regular and stable in AdS3 for any mouth radius to AdS radius ratio and across topologies, with computable actions that can be included in the 3D gravitational path integral.
Inhomogeneous torus boundaries in 3D gravity are thermodynamically favourable for AdS in the range 2 < K |Λ|^{-1/2} < 3/√2 and support macroscopic entropy for all Λ.
Spinning states scaled with central charge cancel negative densities in 3D gravity, reinterpreted as bulk defects or overspinning BTZ quotients of AdS3 that preserve the gap but exhibit causal pathologies.
Genuine multi-entropy in heavy local quenches in 2D holographic CFTs is kinematically fixed to logarithms of rational functions of time, independent of heavy operator dimension, due to global saddle selection in the geodesic network.
Field theory models with Robin boundary conditions and modular invariance reproduce zero-winding holographic superconductor results in 2D CFTs and interpret fractional vortices via a Little-Parks toy model.
n-way junctions in 3D gravity correspond to n-1 coupled Nambu-Goto strings with Monge-Ampère sources whose degrees of freedom survive the tensionless limit, implying matter-like behavior from pure gravity and perfect reflection of wavepackets in the dual CFT.
Quantum corrections to Kerr-de Sitter black holes prevent over-extremization by test particles, keeping the weak cosmic censorship conjecture intact.
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.
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.
Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.
A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.
citing papers explorer
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Stress Tensor Deformations in dS/CFT: Mixed Boundary Conditions, Spectrum Flow and Pseudo Entropy
Proposes stress tensor deformation dictionary in dS/CFT via metric-flow and mixed boundary conditions at future infinity, with exact consistency check in Kerr-dS3/CFT2 and pseudo entropy computations for TTbar and root-TTbar deformations.
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Circular strings, magnons, plane waves and local quenches in BTZ
A coordinate map from AdS3 to BTZ allows construction of circular strings, magnons, and plane waves whose SL(2,R) charges are related by a boost, dual to asymmetric local quenches in the thermal CFT.
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When AdS$_3$ Grows Hair: Boson Stars, Black Holes, and Double-Trace Deformations
In AdS3 gravity with double-trace scalar boundary conditions, zero-frequency boson stars are the true ground state below the instability threshold, and hairy black holes carry higher entropy than BTZ at fixed mass and angular momentum.
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Probing bulk geometry via pole skipping: from static to rotating spacetimes
Pole-skipping data encodes enough information to reconstruct the full metric of 3D rotating black holes and the radial functions of 4D separable rotating black holes, with Einstein equations becoming algebraic constraints on that data.
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Hawking radiation from black holes in 2+1 dimensions
Black hole horizons in 2+1D are composed of quantized length quanta 8π ℓ_P n, producing entropy near the Bekenstein-Hawking value and a local Hawking spectrum via a length ensemble.
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Analytical studies on 3D hairy rotating black hole interiors
3D hairy rotating black holes have interiors consisting of an infinite analytically describable sequence of Kasner epochs that evolve into a curvature singularity.
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Timelike Liouville theory and AdS$_3$ gravity at finite cutoff
Proposes that AdS3 gravity at finite cutoff is dual to a CFT2 coupled to timelike Liouville theory deformed by a marginal operator, with checks via semiclassical partition functions and EOM matching.
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AdS3 axion wormholes as stable contributions to the Euclidean gravitational path integral
The paper shows that Euclidean axion wormholes remain regular and stable in AdS3 for any mouth radius to AdS radius ratio and across topologies, with computable actions that can be included in the 3D gravitational path integral.
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Undulating Conformal Boundaries in 3D Gravity
Inhomogeneous torus boundaries in 3D gravity are thermodynamically favourable for AdS in the range 2 < K |Λ|^{-1/2} < 3/√2 and support macroscopic entropy for all Λ.
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Spinning States and Unitarity in 3D Gravity
Spinning states scaled with central charge cancel negative densities in 3D gravity, reinterpreted as bulk defects or overspinning BTZ quotients of AdS3 that preserve the gap but exhibit causal pathologies.
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Multi-entropy in heavy local quenches
Genuine multi-entropy in heavy local quenches in 2D holographic CFTs is kinematically fixed to logarithms of rational functions of time, independent of heavy operator dimension, due to global saddle selection in the geodesic network.
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Field Theory Models for a Holographic Superconductor in Two Dimensions
Field theory models with Robin boundary conditions and modular invariance reproduce zero-winding holographic superconductor results in 2D CFTs and interpret fractional vortices via a Little-Parks toy model.
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The degrees of freedom of multiway junctions in three dimensional gravity
n-way junctions in 3D gravity correspond to n-1 coupled Nambu-Goto strings with Monge-Ampère sources whose degrees of freedom survive the tensionless limit, implying matter-like behavior from pure gravity and perfect reflection of wavepackets in the dual CFT.
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Kerr-de Sitter Black Holes: Quantum Aspects and Cosmic Censorship Conjecture
Quantum corrections to Kerr-de Sitter black holes prevent over-extremization by test particles, keeping the weak cosmic censorship conjecture intact.
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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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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.
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Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality
Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.
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The Carrollian Kaleidoscope
A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.