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Riemann sphere

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Journal of High Energy Physics

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.

Coadjoint representation of the BMS group on celestial Riemann surfaces