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.
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Barnich, G., Ruzziconi, R. Coadjoint representation of the BMS group on celestial Riemann surfaces. J. High Energ. Phys. 2021, 79 (2021). https://doi.org/10.1007/JHEP06(2021)079
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DOI: https://doi.org/10.1007/JHEP06(2021)079