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Asymptotic Fragility, Near $AdS_2$ Holography and $T\bar{T}$
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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 $AdS_2$ 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.
Forward citations
Cited by 7 Pith papers
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Nonperturbative effects in $T\bar{T}$-deformed conformal field theories: A toy model for Planckian physics
A resummed two-point correlator in T-bar-T deformed CFT exhibits oscillation then logarithmic suppression at scales below the Planck length, with an effective distance that depends only logarithmically on separation.
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$T\bar{T}$-deformed correlators from a 2D gravity description
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 ...
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Butterfly effect and $\textrm{T}\overline{\textrm{T}}$-deformation
For T\bar{T}-deformed BTZ black holes, the butterfly velocity is v_B = sqrt(1 - 8π² μ/β²), exceeding the Mezei-Stanford bound for μ<0 while the Lyapunov exponent stays at the maximal value 2π/β.
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Li\'enard--Wiechert fields in AdS and flat-space antipodal matching from geodesic-centered Coulombic data
The Coulombic Liénard–Wiechert field in AdS and flat space is obtained by recentering the static Coulomb seed on the source geodesic, and antipodal matching emerges as the flat-space limit of an exact bulk antipodal c...
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Emergent gravitational action from non-local $T\bar T$-like deformations
Non-local T-bar-T-like deformations induce model-dependent gravitational terms in free theories and a C_T-dependent sector in CFTs, but the claimed universal CFT result is incomplete because a non-negligible global re...
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Symmetries and operators in $T\bar{T}$ deformed CFTs
A new class of local physical operators is constructed in T-bar-deformed CFTs, and their two-point functions reproduce known string theory and field theory results.
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Massive Gravity @ 15
A status review arguing that ghost-free massive gravity remains a theoretically consistent and phenomenologically viable infrared modification of General Relativity, with open UV questions.
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