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Scattering Amplitudes: Celestial and Carrollian
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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.
Forward citations
Cited by 34 Pith papers
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The Energy-Momentum-News Complex near Future Null Infinity
A Carroll-covariant energy-momentum-news complex at future null infinity yields Ward identities that generalise the Bondi loss equations, with an anomalous Carroll boost.
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Carrollian Dictionary for Massive Particles at Null Infinity
Massive one-particle states are encoded on null infinity by projecting their momenta onto null frames, giving an isometric map into the complete Carrollian representation.
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Missing Descendants in the Carrollian Conformal Family
Including the missing K0 descendant chain completes Carrollian conformal representations and produces C2>0 sectors and two-point correlators fixed only up to functions of Carrollian invariants.
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Carrollian limit of NS-NS and Heterotic Supergravity
Ultra-relativistic expansion plus dilaton scaling produces finite covariant Carrollian NS-NS and heterotic supergravity actions, with trivializable Green-Schwarz for the 1-form and finite leading Riem^{2} α' corrections.
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On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT
The marginal √(T T-bar) deformation of 2D massless scalars provides a dynamical map from relativistic CFT to Carrollian CCFT symmetries, recovering the electric Carroll theory and a novel magnetic counterpart in the e...
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Light and Shadow OPEs: A Carroll Symmetric Approach to Flat Holography
Translation symmetry alone fixes the scaling dimension and leading OPE coefficient for light-transformed Carrollian primaries, matching known graviton, gluon, and Einstein-Yang-Mills results.
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Scalar fields and 3D Flat Space Cosmologies
A direct bulk derivation of scalar quasi-normal modes in 3D flat space cosmologies is presented, using a hard-wall boundary condition and complex momenta, together with one-loop partition functions computed in simplif...
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Boundary Energy-Momentum Tensors for Asymptotically Flat Spacetimes
Varying a renormalized Einstein-Hilbert action with respect to Carrollian metric and shear data yields an EMT-news complex whose diffeomorphism Ward identity reproduces the Bondi mass and angular momentum loss equatio...
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Conformal blocks from celestial graviton amplitudes
The authors construct a single-valued celestial four-graviton correlator from the shadow transform, decompose it into conformal blocks in all channels, and show it is the double copy of the corresponding gluon object.
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Soft gravitons in three dimensions
Three-dimensional flat-space gravity, despite having no propagating gravitons, exhibits an infrared triangle: a soft graviton theorem, BMS3 asymptotic symmetries, and gravitational memory effects, all equivalent throu...
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Differential Representation for Carrollian Correlators
Scalar Carrollian correlators admit a differential representation in which exchange diagrams are obtained from contact diagrams by commuting translation operators, matching the modified Mellin transform of flat-space ...
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Towards a Holographic dual of Carrollian BCFT
An end-of-the-world brane in 3d flat spacetime is shown to reduce spacetime symmetries to the boundary Carrollian conformal algebra, suggesting a flat-space analogue of AdS3/BCFT2 holography.
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Carroll fermions of arbitrary spin
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A unified expansion of Einstein's gravity
A unified (s,n)-parametrized expansion of the Einstein-Hilbert action yields Galilean, Carroll, Lorentzian, and string Carroll gravity, and near-horizon black hole geometries satisfy the string Carroll equations.
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Infinite towers of 2d symmetry algebras from Carrollian limit of 3d CFT
The Carrollian limit of CFT3 operator products yields towers of sl(2,C) blocks that reproduce conformally soft photon and graviton theorems and the S and w1+∞ celestial symmetry algebras.
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Planons and their Carroll-Galilei symmetries
A group-theoretic classification of planon dynamics shows that massless Galilei orbits describe planar-restricted particles, with dipoles arising from a mixed Carroll-Galilei symmetry.
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On Carrollian and Celestial Correlators in General Dimensions
Explicit two-, three-, and four-point Carrollian and celestial amplitudes for massless scalars in D dimensions, connected to the flat/Carrollian limit of AdS/CFT correlators.
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Modular Hamiltonian and entanglement entropy in the BMS free fermion theory
In the BMS free fermion model, the two-interval modular Hamiltonian has local plus bi-local terms, and the vacuum entanglement entropy for n intervals is the chiral-CFT formula with c_L=1 and c_M=0.
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Carroll Geometry Meets De Sitter Space via Holography
The paper shows that Carroll-like geometry appears naturally at the asymptotic boundary of de Sitter space in a string-theoretic holographic construction, mirroring the Galilei-like geometry of AdS/CFT, and builds exa...
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Anisotropic conformal Carroll field theories and their gravity duals
Plane wave spacetimes in three and four dimensions realize anisotropic conformal Carroll algebras as their (asymptotic) symmetry algebras, providing candidate holographic duals for z-anisotropic Carrollian CFTs.
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Postcarrollian gravity
New post-Carrollian gravity actions in 2d, 3d, and 4d are constructed by Lie algebra expansion, including the most general 2d dilaton gravity model and a 3d asymptotic symmetry algebra with central extensions.
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A finite Carrollian critical point
A double-scaled N to 0 limit of Carrollian vector models and Yang-Mills produces interacting Carrollian correlators with finite effective central charge and hyperscaling violation.
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Emergent Carroll symmetry at phase separation in one-dimensional lattice systems
Phase separation in one-dimensional Luttinger liquids is claimed to be governed by an emergent Carroll conformal field theory, with the density structure factor exponent jumping from 1 to 2.
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Modular matrices of 2d Carrollian and warped CFTs
Explicit modular S and T matrices are derived for Carrollian (bms3) and warped CFT characters, with checks of S squared and unitarity.
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Multiparticle States for the Flat Hologram
The paper defines and constructs composite or multiparticle primary operators for Carrollian and celestial CFTs using OPE blocks and momentum-space partial waves, extending the flat-space dictionary beyond single-part...
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Quantum flux operators in the fermionic theory and their supersymmetric extension
The paper derives fermionic quantum flux operators at null infinity, finds an anomalous helicity flux from superrotation commutators, and shows the resulting algebra reduces to super-BMS and R-extended super-Poincaré ...
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Flat limit of AdS/CFT from AdS geodesics: scattering amplitudes and antipodal matching of Li\'enard-Wiechert fields
Flat-space S-matrix elements and Liénard-Wiechert antipodal matching are shown to arise from AdS geodesics that hit the AdS conformal boundary at specific global times.
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Holography in flipped AdS/$\mathbb{Z}$: Another approach to dS holography
Quantum field theories in de Sitter space and in a signature-flipped compact-time spacetime (fAdS) are related by analytic continuation, and the proposed fAdS/fCFT holographic dictionary reproduces de Sitter horizon e...
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Constraining bulk-to-boundary correlators under Poincar\'e symmetry
Poincaré symmetry plus null-infinity fall-off conditions force scalar bulk-to-boundary correlators to 1/(u+n·x)^Δ and fermionic ones to a sum of 1/(u+n·x)^Δ and /n/(u+n·x)^(Δ+1) branches.
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Boundary dynamics of Maxwell-invariant three-dimensional Chern-Simons gravity
A Maxwellian extension of flat Liouville theory is derived as the boundary dual of Maxwell-invariant 2+1 Chern-Simons gravity, and is shown to match a geometric action and a Carrollian expansion of the AdS3 dual.
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The Sky Remembers everything: Celestial amplitude, Shadow and OPE in quadratic EFT of gravity
In quadratic gravity, celestial eikonal amplitudes are claimed to be meromorphic rather than distributional, with OPE data extracted from a shadowed correlator.
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Quantization of Carrollian fermions
A first interacting 4D Carrollian Yukawa theory is constructed, showing ultralocal fermion-scalar interactions and one-loop beta functions with mostly Gaussian fixed points.
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Celestial Chiral Algebras and Self-Dual Gravity
This thesis derives deformations of celestial chiral algebras in self-dual gravity on curved backgrounds, obtaining W(infinity) on Eguchi-Hanson space, Ldiff_q(C) under Moyal deformation, and a two-parameter deformati...
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Lectures on Carrollian Holography
Massless scattering amplitudes, including gravitons, can be recast as correlators of a carrollian conformal field theory on null infinity, but the non-perturbative bootstrap program remains incomplete.
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