REVIEW 14 cited by
Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We investigate the details of the bulk-boundary correspondence in Lorentzian signature anti-de Sitter space. Operators in the boundary theory couple to sources identified with the boundary values of non-normalizable bulk modes. Such modes do not fluctuate and provide classical backgrounds on which bulk excitations propagate. Normalizable modes in the bulk arise as a set of saddlepoints of the action for a fixed boundary condition. They fluctuate and describe the Hilbert space of physical states. We provide an explicit, complete set of both types of modes for free scalar fields in global and Poincar\'e coordinates. For $\ads{3}$, the normalizable and non-normalizable modes originate in the possible representations of the isometry group $\SL_L\times\SL_R$ for a field of given mass. We discuss the group properties of mode solutions in both global and Poincar\'e coordinates and their relation to different expansions of operators on the cylinder and on the plane. Finally, we discuss the extent to which the boundary theory is a useful description of the bulk spacetime.
Forward citations
Cited by 14 Pith papers
-
Comments on holographic spread complexity
The momentum–spread-complexity relation requires generalized coherent states adapted to the spacetime symmetry algebra; semiclassical spreading alone cannot produce a momentum–complexity correspondence.
-
The Making of von Neumann Algebras from Bulk Focusing
A boundary region's infinite-N operator algebra is a von Neumann algebra exactly when its generalized causal wedge closes on the same region; null geodesic focusing is the bulk mechanism.
-
Superluminal chaos after a quantum quench
In BTZ-Vaidya holographic quenches, out-of-time-order correlators imply a transient superluminal butterfly velocity v_B = r_+/r_- > 1 while Lyapunov growth saturates the chaos bounds set by the local temperatures.
-
Entanglement Wedge Reconstruction without Holographic Quantum Error Correction
A locality-based commutant argument shows that finite-N holographic CFTs lack the protected logical sector required for holographic quantum error correction, leaving only region-by-region entanglement wedge reconstruction.
-
The Normalised Wigner Negativity Rate as a Second-Moment Probe of Infall in AdS$_3$
Normalized Krylov-Wigner negativity rate matches Krylov variance growth and equals tidal stretch rate R ∝ C P_ρ if and only if Δ=1 in AdS3.
-
CFT Dual for Timelike Geodesic in Lorentzian dS
Timelike geodesic-integrated Wightman functions in dS are dual to bulk-operator correlators with a linear combination of an OPE block and its Casimir partner.
-
Birth of Inflationary Universes via Wineglass Wormholes and their No-Boundary Relatives
Wineglass wormholes with a local maximum in the scale factor mediate the birth of inflationary spacetimes and split into background plus no-boundary geometries at small axionic or magnetic charge.
-
Holography at Finite N: Breakdown of Bulk Reconstruction for Subregions
Reconstructed AdS-Rindler bulk operators have three-point functions scaling as N^{-1} exp((pi/2)(|lambda|-omega)), so they break down above a (2/pi) ln N momentum scale.
-
Analytic Bootstrap for Logarithmic CFT
The leading large-spin anomalous dimension of double-trace operators in four-dimensional logarithmic CFTs behaves as γ0/ℓ^{τ_m}, where τ_m is the minimal twist, provided no operator has negative scaling dimension.
-
A General Prescription for Semi-Classical Holography
A screen-source formulation of semi-classical holography yields correlators and bulk reconstruction in flat space and reduces to AdS/CFT at the AdS boundary.
-
Excitability of Gaussian states with VEVs
Proves excitability of Gaussian states with VEVs requires connected two-point criteria plus bounded VEV difference, with explicit AdS/CFT application.
-
Bulk Motion in Global AdS$_3$ from the Boundary Energy-Density Perspective
Boundary energy densities in CFT2 encode the periodic boundary-to-boundary propagation of null excitations in global AdS3 via chiral peaks whose weights and timing track bulk geodesics.
-
dS/CFT Correspondence from a Defect Operator
A PT-defect-twisted inner product reproduces the de Sitter scalar two-point function, and PT symmetry is necessarily broken in CFT_2 with an imaginary central charge.
-
More on thermal holographic RG flows in a 3D gauged supergravity
In a 3D gauged supergravity, thermal holographic RG flows come in monotonic and non-monotonic classes, with a special analytic class where the metric is exactly BTZ and the scalar is hypergeometric.
Discussion (0). Continue with ORCID to comment.