Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis

Abstract We develop the analysis of the asymptotic properties of gravity in higher spacetime dimensions D, with a particular emphasis on the case D = 5. Our approach deals with spatial infinity and is Hamiltonian throughout. It is shown that the asymptotic symmetry algebra BMS5, which is realized no...

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Bibliographic Details
Main Authors: Oscar Fuentealba, Marc Henneaux, Javier Matulich, Cédric Troessaert
Format: Article
Language:English
Published: SpringerOpen 2022-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2022)149
Description
Summary:Abstract We develop the analysis of the asymptotic properties of gravity in higher spacetime dimensions D, with a particular emphasis on the case D = 5. Our approach deals with spatial infinity and is Hamiltonian throughout. It is shown that the asymptotic symmetry algebra BMS5, which is realized non linearly, contains a four-fold family of angle- dependent supertranslations. The structure of this non-linear algebra is investigated and a presentation in which the Poincaré subalgebra is linearly realized is constructed. Invariance of the energy is studied. Concluding comments on higher dimensions D ≥ 6 are also given.
ISSN:1029-8479