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Renormalization of conformal infinity as a stretched horizon

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arxiv 2402.03097 v3 pith:AQBN6YIQ submitted 2024-02-05 gr-qc hep-th

Laurent Freidel , Aldo Riello This is my paper · ORCID
classification gr-qchep-th
keywords asymptoticinfinityrenormalizationtensorcarrollianconformalevenhorizon
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abstract

In this paper, we provide a comprehensive study of asymptotically flat spacetime in even dimensions $d\geq 4$. We analyze the most general boundary condition and asymptotic symmetry compatible with Penrose's definition of asymptotic null infinity $\mathscr{I}$ through conformal compactification. Following Penrose's prescription and using a minimal version of the Bondi-Sachs gauge, we show that $\mathscr{I}$ is naturally equipped with a Carrollian stress tensor whose radial derivative defines the asymptotic Weyl tensor. This analysis describes asymptotic infinity as a stretched horizon in the conformally compactified spacetime. We establish that charge aspects conservation can be written as Carrollian Bianchi identities for the asymptotic Weyl tensor. We then provide a covariant renormalization for the asymptotic symplectic potential, which results in a finite symplectic flux and asymptotic charges. The renormalization scheme works even in the presence of logarithmic anomalies.

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Cited by 4 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. 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. Twisting asymptotically-flat spacetimes

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Twisting asymptotically-flat spacetimes are brought into a generalized Bondi gauge with finite radial expansion, producing new flux-balance laws, Carroll-boost symmetries, and finite supertranslated Kerr–Taub–NUT metrics.

  4. Bridging time across null horizons

    gr-qc 2025-02 conditional novelty 4.0 of 10

    A unified 'null-transverse' and 'bridge' framework treats horizon-penetrating and hyperboloidal time coordinates as regular stationary foliations across null horizons, with several new coordinate examples given.

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