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Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence

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33 Pith papers citing it
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abstract

We develop a systematic method for renormalizing the AdS/CFT prescription for computing correlation functions. This involves regularizing the bulk on-shell supergravity action in a covariant way, computing all divergences, adding counterterms to cancel them and then removing the regulator. We explicitly work out the case of pure gravity up to six dimensions and of gravity coupled to scalars. The method can also be viewed as providing a holographic reconstruction of the bulk spacetime metric and of bulk fields on this spacetime, out of conformal field theory data. Knowing which sources are turned on is sufficient in order to obtain an asymptotic expansion of the bulk metric and of bulk fields near the boundary to high enough order so that all infrared divergences of the on-shell action are obtained. To continue the holographic reconstruction of the bulk fields one needs new CFT data: the expectation value of the dual operator. In particular, in order to obtain the bulk metric one needs to know the expectation value of stress-energy tensor of the boundary theory. We provide completely explicit formulae for the holographic stress-energy tensors up to six dimensions. We show that both the gravitational and matter conformal anomalies of the boundary theory are correctly reproduced. We also obtain the conformal transformation properties of the boundary stress-energy tensors.

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representative citing papers

Holographic Banners

hep-th · 2026-04-02 · unverdicted · novelty 8.0

Holographic banners are four-argument on-shell actions that map thermofield double boundary states to future interior semiclassical states and yield BKL mixing timescales in AdS black holes.

Thermal Double-Twist Data in Holography

hep-th · 2026-06-29 · conditional · novelty 7.0

Thermal double-twist OPE coefficients in a 4d holographic CFT are obtained individually as regulated momentum-space integrals of the AdS5 black-brane scalar response function, yielding new spin-resolved data at Δ=3/2.

Precision tests of bulk entanglement: $AdS_3$ vectors

hep-th · 2025-11-17 · unverdicted · novelty 7.0

Bulk single-particle states of a massive Chern-Simons vector in AdS3 produce entanglement entropy corrections that match the CFT replica-trick result for the corresponding primary and descendants at leading and sub-leading orders, with vanishing edge-mode contribution.

Decoding the string in terms of holographic quantum maps

hep-th · 2025-09-16 · unverdicted · novelty 6.0

Stringy modes in 3D gravitational junctions map to factorized H_in to H_out and H_L to H_R quantum maps involving scattering matrices and relative Virasoro automorphisms in the dual CFT.

Radiation in Fluid/Gravity and the Flat Limit

hep-th · 2025-08-02 · unverdicted · novelty 6.0

Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.

Carrollian Perspective on Celestial Holography

hep-th · 2022-02-09 · unverdicted · novelty 6.0

A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.

Inner Horizon Saddles and a Spectral KSW Criterion

hep-th · 2026-05-08 · unverdicted · novelty 6.0

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.

Minisuperspace Double Copy in Lifshitz Spacetimes

hep-th · 2026-04-23 · unverdicted · novelty 6.0

A radial operator extracted from the reduced gravitational dynamics in Lifshitz spacetimes directly reproduces the Maxwell operator for the temporal single-copy field without using equations of motion.

Positivity of holographic energy

gr-qc · 2026-04-09 · unverdicted · novelty 6.0 · 2 refs

Positivity of a weighted holographic energy is proven for 4D spacetimes with negative cosmological constant and conformally static boundaries of spherical or toroidal topology with compatible spin structure.

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