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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
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.