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Towards a Flat Space Carrollian Hologram from AdS$_4$/CFT$_3$

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arxiv 2504.10291 v2 pith:7SNZZSX4 submitted 2025-04-14 hep-th

classification hep-th
keywords carrollianflatlimitspaceabjmsuperconformaltheorysymmetry
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Finding a concrete example holography in four dimensional asymptotically flat space is an important open problem. A natural strategy is to take the flat space limit of the celebrated AdS$_4$/CFT$_3$ correspondence, which relates M-theory in AdS$_4 \times$S$^7$ to a certain superconformal Chern-Simons-matter theory known as the ABJM theory. In this limit, the boundary of AdS$_4$ becomes null infinity and the ABJM theory should exhibit an emergent superconformal Carrollian symmetry. We investigate this possiblity by matching the Carrollian limit of ABJM correlators with four-dimensional supergravity amplitudes that arise from taking the flat space limit of AdS$_4 \times$S$^7$ and reducing along the S$^7$. We also present a general analysis of three-dimensional superconformal Carrollian symmetry.

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Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Missing Descendants in the Carrollian Conformal Family

    hep-th 2026-07 conditional novelty 7.0 of 10

    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.

  2. Flat Holography & Holographic Renormalization: Scalar Field

    hep-th 2025-12 conditional novelty 7.0 of 10

    A Hamilton-Jacobi holographic renormalization scheme for scalars in Minkowski space yields a GKPW-style flat holography dictionary: source = scattering data, vev = renormalized momentum, with correlators matching the ...

  3. Gravitational Memory Beyond Null Infinity through Finite-Distance Carrollian Screens

    hep-th 2026-07 conditional novelty 6.0 of 10

    Finite-distance null screens carry a Carrollian memory whose leading tracefree large-radius part reproduces the standard Bondi displacement memory in Robinson–Trautman spacetimes.

  4. On Carrollian and Celestial Correlators in General Dimensions

    hep-th 2025-08 conditional novelty 6.0 of 10

    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.

  5. Constraining bulk-to-boundary correlators under Poincar\'e symmetry

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    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.

  6. Nonperfect Carrollian Fluids Through Holography

    hep-th 2026-01 conditional novelty 4.0 of 10

    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.

  7. Celestial Chiral Algebras and Self-Dual Gravity

    hep-th 2025-07 conditional novelty 4.0 of 10

    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...

  8. Lectures on Carrollian Holography

    hep-th 2025-11 conditional novelty 3.0 of 10

    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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