$T\bar{T}$ 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.

arXiv commentv2: 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

References in corpus (51)

• On BMS Invariance of Gravitational Scattering
• On space of integrable quantum field theories
• BMS supertranslations and Weinberg's soft graviton theorem
• $T\bar{T}$-deformed 2D Quantum Field Theories
• New Symmetries of Massless QED
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Asymptotic symmetries and subleading soft graviton theorem
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• Asymptotic Symmetries of Yang-Mills Theory
• A Conformal Basis for Flat Space Amplitudes
• Solving the Simplest Theory of Quantum Gravity
• Lectures on Celestial Amplitudes
• Gluon Amplitudes as 2d Conformal Correlators
• New symmetries for the Gravitational S-matrix
• A 2D Stress Tensor for 4D Gravity
• Superboost transitions, refraction memory and super-Lorentz charge algebra
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Conformally Soft Photons and Gravitons
• $T\bar{T}$ and the mirage of a bulk cutoff
• Celestial amplitudes and conformal soft theorems
• Subleading soft photons and large gauge transformations
• Sub-subleading soft gravitons and large diffeomorphisms
• Finite BMS transformations
• Natural Tuning: Towards A Proof of Concept
• Conformally Soft Theorem In Gravity
• BMS Supertranslations and Not So Soft Gravitons
• Sub-subleading soft gravitons: New symmetries of quantum gravity?
• Extended BMS Algebra of Celestial CFT
• Vacua of the gravitational field
• Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities
• Can scalars have asymptotic symmetries?
• $T\bar{T}$ deformed CFT as a non-critical string
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Remarks on Asymptotic Symmetries and the Sub-leading Soft Photon Theorem
• TsT, $T\bar{T}$ and black strings
• BMS Flux Algebra in Celestial Holography
• Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• A $d$-Dimensional Stress Tensor for Mink${}_{d+2}$ Gravity
• Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs
• Coadjoint representation of the BMS group on celestial Riemann surfaces
• $T\overline{T}$, $\tilde{J}J$, $JT$ and $\tilde{J}T$ deformations
• Dual gravitational charges and soft theorems
• $T\bar{T}$ deformations as TsT transformations
• Double-soft graviton amplitudes and the extended BMS charge algebra
• Soft Scalars and the Geometry of the Space of Celestial CFTs
• Note on asymptotic symmetries and soft gluon theorems
• Measuring Color Memory in a Color Glass Condensate at Electron-Ion Colliders
• Double Soft Graviton Theorems and BMS Symmetries
• $T\overline{T}$ Deformations of nonrelativistic models
• Infrared photons and asymptotic symmetries

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