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Massive carrollian fields at timelike infinity

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arxiv 2402.05190 v2 pith:SJZHBKNB submitted 2024-02-07 hep-th gr-qc

classification hep-thgr-qc
keywords carrollianfieldsmassivespacemathsfholographyinfinityminkowski
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Motivated by flat space holography, we demonstrate that massive spin-$s$ fields in Minkowski space near timelike infinity are massive carrollian fields on the carrollian counterpart of anti-de Sitter space called $\mathsf{Ti}$. Its isometries form the Poincar\'e group, and we construct the carrollian spin-$s$ fields using the method of induced representations. We provide a dictionary between massive carrollian fields on $\mathsf{Ti}$ and massive fields in Minkowski space, as well as to fields in the conformal primary basis used in celestial holography. We show that the symmetries of the carrollian structure naturally account for the BMS charges underlying the soft graviton theorem. Finally, we initiate a discussion of the correspondence between massive scattering amplitudes and carrollian correlation functions on $\mathsf{Ti}$, and introduce physical definitions of detector operators using a suitable notion of conserved carrollian energy-momentum tensor.

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Cited by 6 Pith papers

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

  1. The Energy-Momentum-News Complex near Future Null Infinity

    hep-th 2026-07 accept novelty 7.5 of 10

    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.

  2. 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.

  3. 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 ...

  4. Planons and their Carroll-Galilei symmetries

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    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.

  5. 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.

  6. 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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