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Cutoff AdS$_3$ versus the $T\bar{T}$ deformation

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arxiv 1801.02714 v1 pith:57JL2VPO submitted 2018-01-08 hep-th

classification hep-th
keywords bulkdeformedclassicalcorrectionscutoffoperatorproposalresults
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

A recent proposal relates two dimensional holographic conformal field theories deformed by the integrable $T\bar{T}$ flow to AdS$_3$ with a finite radial cutoff. We investigate this proposal by studying perturbative correlation functions on the two sides. For low point correlators of the stress tensor, we successfully match the deformed CFT results at large central charge to bulk results obtained in classical pure gravity. The deformed CFT also provides definite predictions for loop corrections in the bulk. We then include matter fields in the bulk. To reproduce the classical bulk two-point function of a scalar operator we show that the deformed CFT needs to be augmented with double trace scalar operators, with the $T\bar{T}$ operator yielding corrections corresponding to loops in the bulk.

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Cited by 14 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Stress Tensor Deformations in dS/CFT: Mixed Boundary Conditions, Spectrum Flow and Pseudo Entropy

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    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 roo...

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    hep-th 2026-04 conditional novelty 6.5 of 10

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  3. On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity

    hep-th 2026-07 conditional novelty 6.0 of 10

    Exact finite-cutoff radial flow in 3D gravity realizes T̄T deformation, boundary dynamics is integrable via inverse scattering, but the radial flow itself is non-Hamiltonian.

  4. $\boldsymbol{T\overline{T}}$ correlators from tensionless strings

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Constructs deformed vertex operators in a topological string description of T T-bar deformed tensionless AdS3/CFT2 and computes their exact tree-level two-point functions.

  5. GR from RG, $2d$ Example: JT-Gravity Induced from Renormalization Group Flow

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Holographic RG flow on a 2D CFT induces JT gravity with bulk lapse as dilaton and recovers TTbar deformation in the Fefferman-Graham limit.

  6. Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    In TTbar-deformed anomalous CFT2 the chaos bound stays saturated while butterfly velocity depends nontrivially on deformation strength and anomaly, with a Hagedorn regime where the chaotic response turns complex.

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    hep-th 2026-04 unverdicted novelty 6.0 of 10

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    Deformations of the double-scaled SYK model via finite-cutoff holography produce Krylov complexity as wormhole length and realize Susskind's stretched horizon proposal through targeted T² deformations in the high-ener...

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    hep-th 2025-08 unverdicted novelty 6.0 of 10

    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.

  10. $T\bar{T}$-deformed correlators from a 2D gravity description

    hep-th 2025-07 conditional novelty 6.0 of 10

    Using a massive gravity formulation, the paper derives all-order leading-logarithmic T-bar-T corrections to two- and three-point CFT correlators, reproducing the known two-point result and obtaining a new closed form ...

  11. On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity

    hep-th 2026-07 conditional novelty 5.0 of 10

    In the diagonal (Cartan) sector of AdS3 gravity, the radial flow of the quasi-local stress tensor satisfies an exact T Tbar-like equation, while the boundary time evolution forms an integrable bi-Hamiltonian hierarchy.

  12. Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes

    hep-th 2026-04 unverdicted novelty 5.0 of 10

    Gauss-Bonnet corrections to the complete volume proposal introduce a competition effect in static black holes while preserving momentum-governed growth rates and logarithmic scrambling times in dynamical Vaidya geometries.

  13. Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes

    hep-th 2026-04 unverdicted novelty 5.0 of 10

    Gauss-Bonnet corrections to the complete volume introduce a competition effect in static cases and prolong the critical time in two-sided shocks while the complexity growth rate stays governed by conserved momentum.

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    Supertranslations can be defined in the bulk as changes of null hypersurfaces, extending boundary symmetries into the interior and producing a curvature-dependent memory effect in Schwarzschild.

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