Coadjoint representation of the BMS group on celestial Riemann surfaces
General Relativity and Quantum Cosmology
2021-06-30 v2 High Energy Physics - Theory
Abstract
The coadjoint representation of the BMS group in four dimensions is constructed in a formulation that covers both the sphere and the punctured plane. The structure constants are worked out for different choices of bases. The conserved current algebra of non-radiative asymptotically flat spacetimes is explicitly interpreted in these terms.
Keywords
Cite
@article{arxiv.2103.11253,
title = {Coadjoint representation of the BMS group on celestial Riemann surfaces},
author = {Glenn Barnich and Romain Ruzziconi},
journal= {arXiv preprint arXiv:2103.11253},
year = {2021}
}
Comments
45 pages Latex file, minimal cosmetic changes in version 2