Generalized BMS charge algebra
General Relativity and Quantum Cosmology
2020-05-27 v2 High Energy Physics - Theory
Abstract
It has been argued that the symmetries of gravity at null infinity should include a Diff factor associated to diffeomorphisms on the celestial sphere. However, the standard phase space of gravity does not support the action of such transformations. Building on earlier work by Laddha and one of the authors, we present an extension of the phase space of gravity at null infinity on which Diff acts canonically. The Poisson brackets of supertranslation and Diff charges reproduce the generalized BMS algebra introduced in arXiv:1408.2228 .
Keywords
Cite
@article{arxiv.2002.06691,
title = {Generalized BMS charge algebra},
author = {Miguel Campiglia and Javier Peraza},
journal= {arXiv preprint arXiv:2002.06691},
year = {2020}
}
Comments
30 pages. Corrected paragraph after Eq. (1.9) and second to last paragraph in discussion section. Submitted to PRD