Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space
read the original abstract
We study a two dimensional dilaton gravity system, recently examined by Almheiri and Polchinski, which describes near extremal black holes, or more generally, nearly $AdS_2$ spacetimes. The asymptotic symmetries of $AdS_2$ are all the time reparametrizations of the boundary. These symmetries are spontaneously broken by the $AdS_2$ geometry and they are explicitly broken by the small deformation away from $AdS_2$. This pattern of spontaneous plus explicit symmetry breaking governs the gravitational backreaction of the system. It determines several gravitational properties such as the linear in temperature dependence of the near extremal entropy as well as the gravitational corrections to correlation functions. These corrections include the ones determining the growth of out of time order correlators that is indicative of chaos. These gravitational aspects can be described in terms of a Schwarzian derivative effective action for a reparametrization.
This paper has not been read by Pith yet.
Forward citations
Cited by 58 Pith papers
-
Quantum JT Gravity in a box as a P\"oschl-Teller Scattering Problem
JT gravity in a box is quantized exactly by recasting its dynamics as Pöschl-Teller scattering, producing closed-form wavefunctions and correlators with finite-cutoff corrections beyond T Tbar.
-
All-order fluctuating hydrodynamics of the SYK lattice
Derives the all-order fluctuating hydrodynamics effective action and transport coefficients for the SYK lattice from its microscopic pseudo-Goldstone boson action.
-
The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model
The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
-
Replica Wormholes and the Entropy of Hawking Radiation
Replica wormholes in the gravitational path integral yield the island rule for the fine-grained entropy of Hawking radiation, ensuring it follows the unitary Page curve in two-dimensional dilaton gravity.
-
Tuning quantum magic of pure quantum chaotic states with a gravity dual
In the large-N limit of the SYK model, quantum magic of pure KM states dual to black holes is linear in N with a temperature-tunable slope between 0 and 1/2.
-
Constrained particle on a group: from propagators to correlators
Develops a constrained particle-on-group formulation of super-JT gravity that yields super-Schwarzian actions, physical supercharges, and explicit N=2/N=4 three-point functions plus zero-energy OTOCs.
-
Smooth horizons from topology change in canonical quantum gravity
Topology change in canonical JT gravity resolves the firewall paradox by making the connected two-interior branch dominate after Page time, with gravitational constraints annihilating the firewall branch and identifyi...
-
Solvable Random Unitary Dynamics in a Disordered Tomonaga-Luttinger Liquid
The frame potential of a disordered Tomonaga-Luttinger liquid decays as a power law at early times and saturates to a late-time plateau controlled by a single coupling parameter.
-
Emergent States and Algebras from the Double-Scaling limit of Pure States in SYK
In double-scaled SYK, state-adapted dressed chord operators change the emergent algebra from Type II1 to Type I∞ and restore purity of KM states, unlike generic operators.
-
Open-Channel Operator Closure of the Finite-Cutoff JT Gravity Disk Amplitude
The finite-cutoff JT gravity disk amplitude is reproduced via open-channel operators as a boundary-state matrix element, with the geodesic sector shown to be bandlimited and the branch-difference amplitude not equival...
-
Projective Time, Cayley Transformations and the Schwarzian Geometry of the Free Particle--Oscillator Correspondence
Projective geometry and Cayley transformations provide a common framework for the free particle-oscillator correspondences via the Schwarzian cocycle.
-
The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
In a 2d evaporating black hole model, large boosts create O(1/G_N) gradients in bulk entropy that move the quantum extremal surface, causing the generalized entropy to follow unitary expectations with information disa...
-
Dissipative hydrodynamic actions and horizon symmetries in gravity
A new prescription computes the dissipative action for holographic hydrodynamics in AdS4 to first order in derivatives and reproduces known Green's functions via horizon diffeomorphisms.
-
Holographic Krylov Complexity with Lifshitz Scaling and Hyperscaling Violation
Krylov complexity grows quadratically in pure Lifshitz backgrounds and its late-time exponent is controlled by the hyperscaling violation parameter, with a special oscillatory regime.
-
Holonomies and Boundary Symmetries in the Discrete BF Formulation of Carroll Dilaton Gravity
A discrete BF formulation of Carroll dilaton gravity on a lattice yields boundary symmetries that recover the affine Carroll algebra and its conformal reduction in the continuum limit.
-
A Linearized Obstruction to the Supersymmetric Extension of Conformal Boundary Conditions in Euclidean Gravity
Witten's conformal boundary condition admits no half-supersymmetric extension in linearized minimal supergravity because supersymmetry maps the natural gravitino datum to the trace-free extrinsic curvature left unfixe...
-
On the temperature dependence of quasinormal modes in SYK and holography
Finite-temperature quasinormal modes in SYK connect infinite-T Christmas-tree spectra to JT gravity and show monotonic relaxation-rate growth only at strong coupling.
-
Higher-loop wormhole length in sine-dilaton gravity from DSSYK Krylov complexity
Five-loop perturbative expansion of DSSYK Krylov complexity is computed via singular perturbation and mapped to wormhole length in sine-dilaton gravity, with variance, cumulants, and large-time resummation also derived.
-
Higher-loop wormhole length in sine-dilaton gravity from DSSYK Krylov complexity
Five-loop perturbative computation of DSSYK Krylov complexity equaling wormhole length in sine-dilaton gravity, with cumulants and all-order large-time resummation.
-
Towards Bulk Locality: A Systematic Construction of Contact Interactions from Chord Diagrams
A general construction of contact interactions from chord diagrams is developed to match AdS2 scalar contact Witten diagrams in the SYK model.
-
GR from RG, $2d$ Example: JT-Gravity Induced from Renormalization Group Flow
Holographic RG flow on a 2D CFT induces JT gravity with bulk lapse as dilaton and recovers TTbar deformation in the Fefferman-Graham limit.
-
Pseudorandom Dynamics in the SYK Model and Cryptographic Censorship in JT Gravity
SYK disorder is shown to be an approximate unitary k-design for poly(N) k; under the planted-SYK hardness conjecture this yields gravitationally pseudorandom unitaries, implying cryptographic censorship in JT gravity ...
-
Chaos-Integrability Transition in the BPS Subspace of the $\mathcal{N}=2$ SYK Model
Numerical analysis shows that spectral statistics of a BPS-projected operator in an interpolating N=2 SYK model transition from random-matrix to Poisson behavior as the model moves from chaotic to integrable.
-
Evaporating Black Hole Interior and Complexity Evolution
In a JT gravity model with an EoW brane, black hole interior complexity grows linearly until the Page time then decays exponentially, with fluctuations growing large afterward and signaling loss of self-averaging.
-
Dimensional reduction of AdS3 Chern-Simons gravity: Schwarzian and affine boundary theories
Symmetry reduction of 3D AdS Chern-Simons gravity on toroidal boundary yields two inequivalent 1D boundary theories: standard Schwarzian and affine-deformed Schwarzian with Kac-Moody extensions.
-
Black-hole formation and thermalization in open JT gravity
Numerical simulations show dynamical black hole formation in non-Markovian open JT gravity, corresponding to irreversible thermalization on the boundary.
-
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.
-
Non-planar corrections in the symmetric orbifold
Non-planar corrections lift degeneracies in the spectrum of quarter BPS states in Sym^N(T^4) and introduce level repulsion plus random matrix statistics, showing integrability is restricted to the large N planar limit.
-
The Fate of Nucleated Black Holes in de Sitter Quantum Gravity
Nucleated maximal-mass black holes in de Sitter space undergo thermal Hawking evaporation in smooth quantum states and return fully to the empty de Sitter vacuum.
-
Revisiting near-extremal and near-BPS black holes in AdS3 supergravity
In AdS3 supergravity, the gravitational path integral at low temperatures in the near-horizon region is inequivalent to that of the BTZ background, with distinct contributions from bosonic fluctuations, Chern-Simons f...
-
$g_{tt}g_{rr} =-1$ black hole thermodynamics in extended quasi-topological gravity
A unified framework links the generating function for static black holes satisfying g_tt g_rr=-1 in extended quasi-topological gravity to thermodynamic mass and Wald entropy via an effective 2D dilaton theory.
-
Large-c BCFT Entanglement Entropy with Deformed Boundaries from Emergent JT Gravity
At large central charge, BCFT von Neumann entropy with deformed boundaries is reproduced by island entropy in an emergent JT gravity setup with transparent boundary conditions set by the deformation.
-
Probing the Factorized Island Branch with the Capacity of Entanglement in JT Gravity
In JT gravity, the capacity of entanglement detects finite-n structure in the factorized island saddle that the entropy misses at first nontrivial order.
-
Single-Sided Black Holes in Double-Scaled SYK Model and No Man's Island
In the double-scaled SYK model with an end-of-the-world brane, the boundary algebra for a single-sided black hole is a type II1 von Neumann factor with non-trivial commutant, preventing full bulk reconstruction and cr...
-
Localization and anomalous reference frames in gravity
Constructs a phase space for gravitational degrees of freedom on null ray segments with commuting localized observables via edge modes and dressing time, then introduces an effective classical theory with Virasoro def...
-
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.
-
Entanglement spreading and emergent locality in Brownian SYK chains
In a Brownian SYK chain at strong coupling, information from an injected qudit spreads inside a sharp light-cone at the butterfly velocity because the governing dynamics reduce to FKPP domain walls.
-
Fiducial observers and the thermal atmosphere in the black hole quantum throat
A semiclassical construction of fiducial observers in JT gravity, fixed by conformal isometry flow, is extended to the quantum regime to compute wormhole contributions yielding finite thermal entropy and a quantum des...
-
Towards a microscopic description of de Sitter dynamics
An SYK-based quantum system reproduces semiclassical correlators of quantum fields in rigid de Sitter space and non-trivial OTOC features including a doubled Lyapunov exponent.
-
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.
-
All the D-Branes of Resurgence
Negative-tension ZZ-branes are required by resurgence to build complete transseries for minimal-string free energies, with analytic Stokes data and extensions to JT gravity and other string models.
-
The Cardy Formula from Goldstone Bosons
Derives the Cardy formula for 2D CFTs from the Schwarzian action of pseudo Goldstone bosons under anomalous conformal symmetry breaking, without modular invariance.
-
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 nor...
-
ASEP/DSSYK duality and strange correlator
Moments of the DSSYK transfer matrix equal an ASEP stationary-product state overlap, presented as analogous to the strange correlator in topological state-sum models.
-
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.
-
Modular quantization and black holes
Modular quantization of a single holographic CFT reproduces exact Hartle-Hawking correlators of smooth BTZ black holes in the semiclassical limit while yielding non-smooth stretched-horizon descriptions at finite GN.
-
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.
-
Exact solution of two-dimensional Palatini Gauss-Bonnet theory on a strip
Two-dimensional Palatini Gauss-Bonnet gravity on a strip reduces to boundary geodesics on the SL(2,R) group manifold.
-
Probing the Chaos to Integrability Transition in Double-Scaled SYK
A first-order phase transition in the Berkooz-Brukner-Jia-Mamroud interpolating model causes chord number, Krylov complexity, and operator size to switch discontinuously from chaotic (linear/exponential) to quasi-inte...
-
Probing decoupled Throats of AdS$_{D}$ Black Holes in $D=6,7$
Near-EVH limits of AdS6 and AdS7 black holes produce conformally related lower-dimensional black hole solutions in EMMD gravity, opening a potential path to microscopic entropy counting for non-AdS black holes via hig...
-
Quantum corrected black hole microstates and entropy
In a doubly holographic black hole model, the dimension of the microstate Hilbert space equals the sum of the quantum-corrected thermodynamic entropies of the left and right black holes, which equals the generalised e...
-
Finite cutoff JT gravity: Baby universes, Matrix dual, and (Krylov) Complexity
Finite cutoff in JT gravity causes faster ERB-length saturation, deformation-dependent baby-universe emission only under Lorentzian evolution, and possible one-cut universality corrections in the matrix dual.
-
Near-horizon modifications in finite $N$ holography
Explicit reconstructions in modified near-horizon AdS2 and BTZ geometries recover prior non-locality estimates controlled by a throat parameter and exhibit dip-ramp-plateau spectral form factors in 3D.
-
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.
-
Some universalities in the partition functions of low-dimensional gravity models
Conjectures universalities in partition functions across low-dimensional gravity models by examining similarities under parameter changes, wavefunction behaviors, entanglement, and wormhole connections.
-
Quantum chaos and the holographic principle
A review of the chaos-assisted holographic correspondence linking the SYK model to 2D JT gravity, including the need for string theory corrections at fine quantum scales.
-
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.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.