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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
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 5 Pith papers

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