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Article Dans Une Revue Journal of High Energy Physics Année : 2021

The Weyl BMS group and Einstein’s equations

Laurent Freidel
  • Fonction : Auteur
Roberto Oliveri
  • Fonction : Auteur
Daniele Pranzetti
  • Fonction : Auteur
Simone Speziale

Résumé

We propose an extension of the BMS group, which we refer to as Weyl BMS or BMSW for short, that includes super-translations, local Weyl rescalings and arbitrary diffeomorphisms of the 2d sphere metric. After generalizing the Barnich-Troessaert bracket, we show that the Noether charges of the BMSW group provide a centerless representation of the BMSW Lie algebra at every cross section of null infinity. This result is tantamount to proving that the flux-balance laws for the Noether charges imply the validity of the asymptotic Einstein’s equations at null infinity. The extension requires a holographic renormalization procedure, which we construct without any dependence on background fields. The renormalized phase space of null infinity reveals new pairs of conjugate variables. Finally, we show that BMSW group elements label the gravitational vacua.

Dates et versions

hal-03210347 , version 1 (27-04-2021)

Identifiants

Citer

Laurent Freidel, Roberto Oliveri, Daniele Pranzetti, Simone Speziale. The Weyl BMS group and Einstein’s equations. Journal of High Energy Physics, 2021, 07, pp.170. ⟨10.1007/JHEP07(2021)170⟩. ⟨hal-03210347⟩
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