$T\bar{T}$ deformed soft theorem

TL;DR

This paper derives a $Tar{T}$ deformed soft graviton theorem within celestial holography, showing how a 2D irrelevant deformation impacts 4D amplitudes and suggesting a link to loop corrections for quantum gravity.

Contribution

It introduces a novel $Tar{T}$ deformation framework for soft theorems in celestial holography, connecting 2D deformations to 4D gravitational amplitudes.

Findings

$Tar{T}$ deformation modifies soft graviton theorems.

Deformation relates to loop corrections in amplitudes.

Potential pathway to ultraviolet complete quantum gravity.

Abstract

In this paper, we derive a $T\bar{T}$ deformed soft graviton theorem in the context of celestial holography. As a concrete example, it illustrates that a two-dimensional irrelevant deformation can be applied to a four-dimensional theory at the level of amplitudes. We argue that the $T\bar{T}$ deformation has a close relation to the loop-correction from the amplitude side which could provide an alternative way to construct an ultraviolet complete quantum theory of gravity.