# Asymptotic Fragility, Near $AdS_2$ Holography and $T\bar{T}$

## TL;DR

This paper provides an exact solution for scattering in JT gravity coupled to quantum fields, revealing a connection to $T\bar{T}$ deformation, asymptotic fragility, and holographic $AdS_2$ insights, with implications for confining string theories.

## Contribution

It establishes a precise link between gravitational dressing, $T\bar{T}$ deformation, and holography in flat and near $AdS_2$ spaces, offering new formulas for scattering amplitudes.

## Key findings

- Exact dressed $S$-matrix in JT gravity with quantum fields.
- Connection between gravitational dressing and $T\bar{T}$ deformation.
- Proposal of new flat space amplitude expressions from holographic correlators.

## 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.