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

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.

26 pages

References in corpus (4)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• $T\bar{T}$-deformations, AdS/CFT and correlation functions
• Background independent holographic dual to $T\bar{T}$ deformed CFT with large central charge in 2 dimensions

Cited by in corpus (139)

• The $T\overline{T}$ deformation of quantum field theory as random geometry
• Holography at finite cutoff with a $T^2$ deformation
• The $\text{T}\bar{\text{T}}$ perturbation and its geometric interpretation
• Modular invariance and uniqueness of $T\bar{T}$ deformed CFT
• Entanglement entropy and $T\overline{T}$ deformation
• $T\bar{T}$ and the mirage of a bulk cutoff
• $T\bar{T}$ deformed partition functions
• Generalised Born-Infeld models, Lax operators and the $\text{T}\bar{\text{T}}$ perturbation
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• $T\bar{T}$ and EE, with implications for (A)dS subregion encodings
• Entanglement Entropy in $T\overline{T}$-Deformed CFT
• Holographic Complexity Equals Which Action?
• The holographic interpretation of $J\bar{T}$-deformed CFTs
• On $T\bar{T}$ deformations and supersymmetry
• $J\bar{T}$ deformed $CF{T}_2$ and String Theory
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• de Sitter Microstates from $T\bar{T}+{\Lambda }_2$ and the Hawking-Page Transition
• $T\bar{T}$ deformed CFT as a non-critical string
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• Cauchy Slice Holography: A New AdS/CFT Dictionary
• Sphere partition functions and cut-off AdS
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• $T\bar{T}$ deformations with $\mathcal{N}=(0,2)$ supersymmetry
• On correlation functions in $J\bar{T}$-deformed CFTs
• Modular covariance and uniqueness of $J\bar{T}$ deformed CFTs
• Integrability and Renormalization under $T\bar{T}$
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• Holographic Entanglement Entropy in Cutoff AdS
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Gravitational path integral from the $T^2$ deformation
• Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes
• Geometrizing $T\bar{T}$
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• 3D Gravity in a Box
• Random Boundary Geometry and Gravity Dual of $T\bar{T}$ Deformation
• Nonperturbative effects and resurgence in JT gravity at finite cutoff
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Entanglement entropy and $T\bar{T}$ deformations beyond antipodal points from holography
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Field Theory of Interacting Boundary Gravitons
• Surface/State correspondence and $T\overline{T}$ deformation
• Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions
• $T\bar{T}$-deformed conformal field theories out of equilibrium
• Finite Cutoff AdS${}_5$ Holography and the Generalized Gradient Flow
• Holographic Path-Integral Optimization
• Cutoff $\mathrm{Ad}{\mathrm{S}}_3$ versus $\mathrm{T}\bar{\mathrm{T}}$ $\mathrm{CF}{\mathrm{T}}_2$ in the large central charge sector: correlators of energy-momentum tensor
• Heating up holography for single-trace $J\bar{T}$ deformations
• Geometric formulation of generalized root-$T\bar{T}$ deformations
• $T\bar{T}$ type deformation in the presence of a boundary
• Correlation Functions in $\text{T}\bar{\text{T}}$-deformed Conformal Field Theories
• Temporal Entanglement Entropy as a probe of Renormalization Group Flow
• Thermal transport in $T\bar{T}$-deformed conformal field theories: from integrability to holography
• Note on Rényi entropy of 2D perturbed free fermions
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• Massive gravity generalization of $T\overline{T}$ deformations
• Root-$T\overline{T}$ Deformed Boundary Conditions in Holography
• $T\bar{T}$ Deformation of Stress-Tensor Correlators from Random Geometry
• $T\bar{T}$ deformation of chiral bosons and Chern-Simons AdS${}_3$ gravity
• Geometrizing non-relativistic bilinear deformations
• Holographic torus correlators of stress tensor in $Ad{S}_3/CF{T}_2$
• $T\bar{T}$-flow effects on torus partition functions
• Black hole to cosmic horizon microstates in string/M theory: timelike boundaries and internal averaging
• Fix the dual geometries of $T\bar{T}$ deformed CFT${}_2$ and highly excited states of CFT${}_2$
• Quantum corrections to finite radius holography and holographic entanglement entropy
• Chaos of QCD string from holography
• Very Special $T\bar{J}$ deformed CFT
• $T\bar{T}$ flow as characteristic flows
• Building Tensor Networks for Holographic States
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• $T\bar{T}$-deformation and Liouville gravity
• Note on the nonrelativistic $T\bar{T}$ deformation
• Lifshitz Scaling, Microstate Counting from Number Theory and Black Hole Entropy
• Exact $T\bar{T}$-deformation of two-dimensional Yang-Mills theory on the sphere
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• Scale Invariance vs. Conformal Invariance: Holographic Two-Point Functions in Horndeski Gravity
• Holographic study of $T\bar{T}$ like deformed HV QFTs: holographic entanglement entropy
• Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT${}_2$s
• End of the World Brane meets $T\bar{T}$
• $T\bar{T}$ deformed YM${}_2$ on general backgrounds from an integral transformation
• Extreme Black Hole Anabasis
• $T\overline{T}$-deformation of $q$-Yang-Mills theory
• $T\bar{T}/J\bar{T}$-deformed WZW models from Chern-Simons AdS${}_3$ gravity with mixed boundary conditions
• Krylov complexity of deformed conformal field theories
• $T\bar{T}$ deformation of random matrices
• Deforming the ODE/IM correspondence with $\mathrm{T}\bar{\mathrm{T}}$
• Surface charges in Chern-Simons gravity with $T\bar{T}$ deformation
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• Remarks on the thermodynamic stability of TT-bar deformations
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• $T\bar{T}+{\Lambda }_2$ from a 2d gravity path integral
• $T\bar{T}$ deformation of classical Liouville field theory
• Perturbative renormalization of the $T\bar{T}$-deformed free massive Dirac fermion
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• Irrelevant Deformations of Chiral Bosons
• Entanglement Entropy and Modular Hamiltonian of free fermion with deformations on a torus
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• Exploring causality in braneworld/cutoff holography via holographic scattering
• Worldsheet traversable wormholes
• Supersymmetric black holes and $T\bar{T}$ deformation
• $T\overline{T}$-deformed free energy of the Airy model
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• One-loop partition functions in $T\overline{T}$-deformed AdS${}_3$
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• Holographic entanglement entropy and mutual information in deformed field theories at finite temperature
• Asymptotic Symmetries in the TsT/$T\bar{T}$ Correspondence
• Mixed state entanglement in deformed field theory at finite temperature
• Krylov operator complexity in holographic CFTs: Smeared boundary reconstruction and the dual proper radial momentum
• Chiral Decoupling from Irrelevant Deformations
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• $T\bar{T}$ deformation of correlation functions
• Systematic approach to correlators in $T\bar{T}$ deformed CFTs
• Correlation Functions in $\text{T}\bar{\text{T}}$-deformed Theories on the Torus
• Composite operators in $T\bar{T}$-deformed free QFTs
• Holographic n-partite Information in Hyperscaling Violating Geometry
• Characters of irrelevant deformations
• Geometric realization via irrelevant deformations induced by the stress-energy tensor
• Toward a Unified de Sitter Holography: A Composite $T\bar{T}$ and $T\bar{T}+{\Lambda }_2$ Flow
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
• Probing holography in $p$-adic CFT
• Effective field theory on a finite boundary of the Bruhat-Tits tree
• A substrate for brane shells from $T\bar{T}$
• Locality and Conserved Charges in $T\overline{T}$-Deformed CFTs
• Entanglement, defects, and $T\bar{T}$ on a black hole background
• On correlators in $T\bar{T}$-deformed conformal field theories
• Cost of holographic path integrals
• On the Spread of Entanglement at Finite Cutoff
• Holographic AME states in black hole interiors
• Complete Minimal Form Factors for Irrelevant Deformations of Integrable Quantum Field Theory