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High Energy Physics - Theory

arXiv:2111.09664 (hep-th)
[Submitted on 18 Nov 2021]

Title:The Bondi-Metzner-Sachs group in five spacetime dimensions

Authors:Oscar Fuentealba, Marc Henneaux, Javier Matulich, Cédric Troessaert
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Abstract:We study asymptotically flat spacetimes in five spacetime dimensions by Hamiltonian methods, focusing on spatial infinity and keeping all asymptotically relevant nonlinearities in the transformation laws and in the charge-generators. Precise boundary conditions that lead to a consistent variational principle are given. We show that the algebra of asymptotic symmetries, which had not been uncovered before, is a nonlinear deformation of the semi-direct product of the Lorentz algebra by an abelian algebra involving four independent (and not just one) arbitrary functions of the angles on the $3$-sphere at infinity, with non trivial central charges. The nonlinearities occur in the Poisson brackets of the boost generators with themselves and with the other generators. They would be invisible in a linearized treatment of infinity.
Comments: 5 pages, no figures
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:2111.09664 [hep-th]
  (or arXiv:2111.09664v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.09664
Related DOI: https://doi.org/10.1103/PhysRevLett.128.051103

Submission history

From: Javier Matulich [view email]
[v1] Thu, 18 Nov 2021 12:43:48 UTC (12 KB)
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