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AdS Witten Diagrams to Carrollian Correlators
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Carrollian Conformal Field Theories (CFTs) have been proposed as co-dimension one holographic duals to asymptotically flat spacetimes as opposed to Celestial CFTs which are co-dimension two. In this paper, drawing inspiration from Celestial holography, we show by a suitable generalisation of the flat space limit of AdS that keeps track of the previously disregarded null direction, one can reproduce Carrollian CFT correlation functions from AdS Witten diagrams. In particular, considering Witten diagrams in AdS4, we reproduce two and three-point correlation functions for three dimensional Carrollian CFTs in the so-called delta-function branch. Along the way, we construct non-trivial Carrollian three-point functions in the delta-branch by considering a collinear limit. We also obtain a generalised anti-podal matching condition that now depends on the retarded time direction.
Forward citations
Cited by 19 Pith papers
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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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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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Gravitational Memory Beyond Null Infinity through Finite-Distance Carrollian Screens
Finite-distance null screens carry a Carrollian memory whose leading tracefree large-radius part reproduces the standard Bondi displacement memory in Robinson–Trautman spacetimes.
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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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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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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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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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In the generalized Fefferman-Graham gauge, three-dimensional AdS gravity produces a boundary Weyl connection, a Weyl-covariant stress tensor and trace anomaly, and requires a new corner counterterm that fixes the Eucl...
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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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Li\'enard--Wiechert fields in AdS and flat-space antipodal matching from geodesic-centered Coulombic data
The Coulombic Liénard–Wiechert field in AdS and flat space is obtained by recentering the static Coulomb seed on the source geodesic, and antipodal matching emerges as the flat-space limit of an exact bulk antipodal c...
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Nonperfect Carrollian Fluids Through Holography
Bulk gravitational radiation, diagnosed by the Fernández-Álvarez–Senovilla criterion, is dual to dissipative (Carrollian) boundary-fluid data, with an entropy-flux law and a Robinson-Trautman worked example.
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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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