Asymptotic Fragility, Near $Ad{S}_2$ Holography and $T\bar{T}$

Abstract

We present the exact solution for the scattering problem in the flat space Jackiw-Teitelboim (JT) gravity coupled to an arbitrary quantum field theory. JT gravity results in a gravitational dressing of field theoretical scattering amplitudes. The exact expression for the dressed $S$-matrix was previously known as a solvable example of a novel UV asymptotic behavior, dubbed asymptotic fragility. This dressing is equivalent to the $T\bar{T}$ deformation of the initial quantum field theory. JT gravity coupled to a single massless boson provides a promising action formulation for an integrable approximation to the worldsheet theory of confining strings in 3D gluodynamics. We also derive the dressed $S$-matrix as a flat space limit of the near $Ad{S}_2$ holography. We show that in order to preserve the flat space unitarity the conventional Schwarzian dressing of boundary correlators needs to be slightly extended. Finally, we propose a new simple expression for flat space amplitudes of massive particles in terms of correlators of holographic CFT's.

39+7 pages; v2: notation clarified, typos corrected, references added; v3: bbl file updated; v4: one more typo fixed; v5: yet another typo fixed

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Cited by in corpus (184)

• Cutoff AdS${}_3$ versus the $T\bar{T}$ deformation
• The $T\overline{T}$ deformation of quantum field theory as random geometry
• $T\bar{T}$ Partition Function from Topological Gravity
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• On the Dynamics of Near-Extremal Black Holes
• Holography at finite cutoff with a $T^2$ deformation
• The $\text{T}\bar{\text{T}}$ perturbation and its geometric interpretation
• An introduction to the SYK model
• Modular invariance and uniqueness of $T\bar{T}$ deformed CFT
• $T\bar{T}$-deformations in closed form
• 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
• De Sitter Holography and Entanglement Entropy
• $T\overline{T}$ in AdS${}_2$ and Quantum Mechanics
• Entanglement Entropy in $T\overline{T}$-Deformed CFT
• $T\bar{T}$ Deformations, Massive Gravity and Non-Critical Strings
• Hamiltonian deformations in quantum mechanics, $T\bar{T}$, and SYK
• On $T\bar{T}$ deformations and supersymmetry
• The holographic interpretation of $J\bar{T}$-deformed CFTs
• $J\bar{T}$ deformed $CF{T}_2$ and String Theory
• Supersymmetry and $T\overline{T}$ Deformations
• de Sitter Microstates from $T\bar{T}+{\Lambda }_2$ and the Hawking-Page Transition
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• $T\bar{T}$ deformed CFT as a non-critical string
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• Landau diagrams in AdS and S-matrices from conformal correlators
• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories
• TsT, $T\bar{T}$ and black strings
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• The TT* deformation at large central charge
• Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations
• Limits of JT gravity
• 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
• New boundary conditions for AdS${}_2$
• Edge Dynamics from the Path Integral: Maxwell and Yang-Mills
• $T\bar{T}$ deformations with $\mathcal{N}=(0,2)$ supersymmetry
• On correlation functions in $J\bar{T}$-deformed CFTs
• $T\bar{T}$-Deformed Actions and (1,1) Supersymmetry
• $T\bar{T}$ Flows and (2,2) Supersymmetry
• Modular covariance and uniqueness of $J\bar{T}$ deformed CFTs
• Background independent holographic dual to $T\bar{T}$ deformed CFT with large central charge in 2 dimensions
• $T\bar{T}$ deformations and integrable spin chains
• Integrability and Renormalization under $T\bar{T}$
• Quantum chaos, scrambling and operator growth in $T\bar{T}$ deformed SYK models
• Flow equations for generalised $T\bar{T}$ deformations
• Dispersion relations and exact bounds on CFT correlators
• $T\bar{T}$ deformations as TsT transformations
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• Undressing Confining Flux Tubes with $T\bar{T}$
• $T\bar{T}$-deformation and long range spin chains
• Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
• Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Geometrizing $T\bar{T}$
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• Nonlinear automorphism of the conformal algebra in 2D and continuous $\sqrt{T\bar{T}}$ deformations
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• Random Boundary Geometry and Gravity Dual of $T\bar{T}$ Deformation
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Entanglement entropy and $T\bar{T}$ deformations beyond antipodal points from holography
• Field Theory of Interacting Boundary Gravitons
• $T\bar{T}$-deformed conformal field theories out of equilibrium
• Heating up holography for single-trace $J\bar{T}$ deformations
• Towards Bootstrapping RG flows: Sine-Gordon in AdS
• 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
• Geometric formulation of generalized root-$T\bar{T}$ deformations
• $T\bar{T}$ type deformation in the presence of a boundary
• Gravity and $T\bar{T}$ flows in higher dimensions
• Correlation Functions in $\text{T}\bar{\text{T}}$-deformed Conformal Field Theories
• A Simple Worldsheet Black Hole
• Thermal transport in $T\bar{T}$-deformed conformal field theories: from integrability to holography
• Large $N$ phase transition in $T\overline{T}$-deformed $2d$ Yang-Mills theory on the sphere
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Root-$T\overline{T}$ Deformed Boundary Conditions in Holography
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• Massive gravity generalization of $T\overline{T}$ deformations
• $\mathrm{T}\overline{\mathrm{T}}$-deformed 1d Bose gas
• $T\bar{T}$ Deformation of Stress-Tensor Correlators from Random Geometry
• $T\bar{T}$ deformation of chiral bosons and Chern-Simons AdS${}_3$ gravity
• Rotating Black Holes in AdS, Extremality and Chaos
• Geometrizing non-relativistic bilinear deformations
• $T\bar{T}$-flow effects on torus partition functions
• Hamiltonian truncation in Anti-de Sitter spacetime
• Quantum corrections to finite radius holography and holographic entanglement entropy
• TsT, black holes, and $T\bar{T}+J\bar{T}+T\bar{J}$
• Building Tensor Networks for Holographic States
• $T\bar{T}$ flow as characteristic flows
• Thermodynamic Bethe Ansatz past turning points: the (elliptic) sinh-Gordon model
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• Very Special $T\bar{J}$ deformed CFT
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• The gravitational dynamics of kinematic space
• The Space of Integrable Systems from Generalised $T\bar{T}$-Deformations
• S-duality in $T\bar{T}$-deformed CFT
• Confining Strings, Infinite Statistics and Integrability
• Note on the nonrelativistic $T\bar{T}$ deformation
• Infinite $\mathrm{T}\bar{\mathrm{T}}$-like symmetries of compactified LST
• Topological Gauging and Double Current Deformations
• Exact $T\bar{T}$-deformation of two-dimensional Yang-Mills theory on the sphere
• $T\bar{T}$ deformation of the Ising model and its ultraviolet completion
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• A Path Integral Realization of Joint $J\bar{T}$, $T\bar{J}$ and $T\bar{T}$ Flows
• A general definition of $J{T}_a$ -- deformed QFTs
• Lax Connections in $T\bar{T}$-deformed Integrable Field Theories
• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• Classical Integrability of the Zigzag Model
• $T\bar{T}$ deformed YM${}_2$ on general backgrounds from an integral transformation
• $T\bar{T}$ and $J\bar{T}$ Deformations in Quantum Mechanics
• On the universal behavior of $T\bar{T}$-deformed CFTs: single and double-trace partition functions at large $c$
• $T\overline{T}$-deformation of $q$-Yang-Mills theory
• Flows in the Space of Interacting Chiral Boson Theories
• $T\overline{T}$ Deformations of nonrelativistic models
• On the classification of UV completions of integrable $T\bar{T}$ deformations of CFT
• $T\bar{T}$ deformation on multiquantum mechanics and regenesis
• Krylov complexity of deformed conformal field theories
• Exact $T\overline{T}$ deformation of two-dimensional Maxwell theory
• Deforming the ODE/IM correspondence with $\mathrm{T}\bar{\mathrm{T}}$
• Integrable Field Theories and Their CCFT Duals
• Large N Analysis of $T\bar{T}$-deformation and Unavoidable Negative-norm States
• Renormalization group flows in AdS and the bootstrap program
• Surface charges in Chern-Simons gravity with $T\bar{T}$ deformation
• $T\bar{T}$ deformation of random matrices
• Remarks on the thermodynamic stability of TT-bar deformations
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• $T\bar{T}+{\Lambda }_2$ from a 2d gravity path integral
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• $T\bar{T}$-deformed Fermionic Theories Revisited
• Exact Solutions of (deformed) Jackiw-Teitelboim Gravity
• Irrelevant Deformations with Boundaries and Defects
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• On the $T\bar{T}$ deformation of the compactified boson and its interpretation in Lattice Gauge Theory
• Perturbative renormalization of the $T\bar{T}$-deformed free massive Dirac fermion
• Irrelevant Deformations of Chiral Bosons
• $T\bar{T}$ deformation of classical Liouville field theory
• Dilaton gravity with a boundary: from unitarity to black hole evaporation
• Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
• Flat space holography in spin-2 extended dilaton-gravity
• Ising string beyond Nambu-Goto
• $T\bar{T}$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions
• Supersymmetric black holes and $T\bar{T}$ deformation
• Worldsheet traversable wormholes
• $T\bar{T}$ and root-$T\bar{T}$ deformations in four-dimensional Chern-Simons theory
• Thermodynamics of $T\bar{T}$ perturbations of some single particle field theories
• $T\overline{T}$ deformations and the width of fundamental particles
• Holographic Entanglement Entropy in $T\bar{T}$-deformed CFTs
• Quantization of the Zigzag Model
• Chiral Decoupling from Irrelevant Deformations
• $T\bar{T}$ deformation of correlation functions
• The phase diagram of $T\bar{T}$-deformed Yang-Mills theory on the sphere
• $T\bar{T}$ Deformations in Curved Space from 4D Chern-Simons Theory
• Composite operators in $T\bar{T}$-deformed free QFTs
• Demystifying integrable QFTs in AdS: No-go theorems for higher-spin charges
• Systematic approach to correlators in $T\bar{T}$ deformed CFTs
• Correlation Functions in $\text{T}\bar{\text{T}}$-deformed Theories on the Torus
• Flat limit of AdS/CFT from AdS geodesics: scattering amplitudes and antipodal matching of Liénard-Wiechert fields
• Geometric realization via irrelevant deformations induced by the stress-energy tensor
• From conformal correlators to analytic S-matrices: CFT${}_1$/QFT${}_2$
• Characters of irrelevant deformations
• 1d Conformal Field Theory and Dispersion Relations
• $T\bar{T}$ deformed scattering happens within matrices
• Loop corrections versus marginal deformation in celestial holography
• Nonperturbative aspects of two-dimensional $T\bar{T}$-deformed scalar theory from functional renormalization group
• On Factorizable S-matrices, Generalized TTbar, and the Hagedorn Transition
• Geometric realization of stress-tensor deformed field theory
• A substrate for brane shells from $T\bar{T}$
• Two-Dimensional Dilaton Gravity Theory and Lattice Schwarzian Theory
• Phase Transition in JT Gravity and $T\bar{T}$ Deformation
• Exploring uberholography
• On Current-Squared Flows and ModMax Theories
• On the Spread of Entanglement at Finite Cutoff
• Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$
• Metric approach to a $\mathrm{T}\bar{\mathrm{T}}-$like deformation in arbitrary dimensions
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model