$T\bar{T}$ deformed soft theorem

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.

v2: Interpretation improved significantly, discussions on the connection between loop corrections and deformations added, extra with respect to the version accepted for publication in journal due to the page limits

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Cited by in corpus (4)

• Geometric formulation of generalized root-$T\bar{T}$ deformations
• Irrelevant and marginal deformed BMS field theories
• Linearized gravity and soft graviton theorem in de Sitter spacetime
• Loop corrections versus marginal deformation in celestial holography