Scattering Amplitudes: Celestial and Carrollian

Abstract

Recent attempts at the construction of holography for asymptotically flat spacetimes have taken two different routes. Celestial holography, involving a two dimensional (2d) CFT dual to 4d Minkowski spacetime, has generated novel results in asymptotic symmetry and scattering amplitudes. A different formulation, using Carrollian CFTs, has been principally used to provide some evidence for flat holography in lower dimensions. Understanding of flatspace scattering has been lacking in the Carroll framework. In this work, using ideas from Celestial holography, we show that 3d Carrollian CFTs living on the null boundary of 4d flatspace can potentially compute bulk scattering amplitudes. 3d Carrollian conformal correlators have two different branches, one depending on the null time direction and one independent of it. We propose that it is the time-dependent branch that is related to bulk scattering. We construct an explicit field theoretic example of a free massless Carrollian scalar that realises some desired properties.

21 pages

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Cited by in corpus (25)

• Bridging Carrollian and Celestial Holography
• Magic Fermions: Carroll and Flat Bands
• Conformal Carroll Scalars with Boosts
• On Higher-dimensional Carrollian and Galilean Conformal Field Theories
• Carrollian hydrodynamics from symmetries
• Carroll covariant scalar fields in two dimensions
• Holographic Lorentz and Carroll Frames
• Boosting to BMS
• From CFTs to theories with Bondi-Metzner-Sachs symmetries: Complexity and out-of-time-ordered correlators
• Carroll fermions in two dimensions
• Intrinsic Approach to $1+1$D Carrollian Conformal Field Theory
• Symmetry group at future null infinity I: Scalar theory
• A Comment on Loop Corrections to the Celestial Stress Tensor
• Carrollian conformal scalar as flat-space singleton
• A BMS-invariant free fermion model
• Towards higher-spin holography in flat space
• The Shadow Formalism of Galilean CFT${}_2$
• Carrollian Yang-Mills Theory
• Ehlers, Carroll, Charges and Dual Charges
• Circuit Complexity for Carrollian Conformal (BMS) Field Theories
• Light transformed gluon correlators in CCFT
• Flat Bands and Compact Localised States: A Carrollian roadmap
• Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
• Stress tensors of 3d Carroll CFTs
• The Sky Remembers everything: Celestial amplitude, Shadow and OPE in quadratic EFT of gravity