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On the definition of Carrollian amplitudes in general dimensions

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arxiv 2407.20816 v2 pith:BASPGE2K submitted 2024-07-30 hep-th

Wen-Bin Liu , Jiang Long , Hong-Yang Xiao , Jing-Long Yang This is my paper · ORCID
classification hep-th
keywords carrollianamplitudefielddefinitiondimensionsgenerallocaltransformation
verification ladder T0 review T1 audit T2 compute T3 formal
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Carrollian amplitude is the natural object that defines the correlator of the boundary Carrollian field theory. In this work, we will elaborate on its proper definition in general dimensions. We use the vielbein field on the unit sphere to define the fundamental field with non-vanishing helicity in the local Cartesian frame which is the building block of the Carrollian amplitude. In general dimensions, the Carrollian amplitude is related to the momentum space scattering matrix by a modified Fourier transform. The Poincar\'e transformation law of the Carrollian amplitude in this definition has been discussed. We also find an isomorphism between the local rotation of the vielbein field and the superduality transformation.

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Cited by 5 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. 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.

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

    hep-th 2026-01 conditional novelty 5.0 of 10

    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.

  4. Quantization of Carrollian fermions

    hep-th 2025-02 conditional novelty 5.0 of 10

    A first interacting 4D Carrollian Yukawa theory is constructed, showing ultralocal fermion-scalar interactions and one-loop beta functions with mostly Gaussian fixed points.

  5. 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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