Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
High Energy Physics - Theory
2023-01-18 v1 General Relativity and Quantum Cosmology
Abstract
The constrained Hamiltonian analysis of geometric actions is worked out before applying the construction to the extended Bondi-Metzner-Sachs group in four dimensions. For any Hamiltonian associated with an extended BMS generator, this action provides a field theory in two plus one spacetime dimensions whose Poisson bracket algebra of Noether charges realizes the extended BMS Lie algebra. The Poisson structure of the model includes the classical version of the operator product expansions that have appeared in the context of celestial holography. Furthermore, the model reproduces the evolution equations of non-radiative asymptotically flat spacetimes at null infinity.
Keywords
Cite
@article{arxiv.2211.07592,
title = {Geometric action for extended Bondi-Metzner-Sachs group in four dimensions},
author = {Glenn Barnich and Kevin Nguyen and Romain Ruzziconi},
journal= {arXiv preprint arXiv:2211.07592},
year = {2023}
}
Comments
25 pages Latex file