Coadjoint representation of the BMS group on celestial Riemann surfaces
Glenn Barnich, Romain Ruzziconi
TL;DR
This paper constructs the coadjoint representation of the BMS group on celestial Riemann surfaces, elucidating the algebraic structure and conserved currents in asymptotically flat spacetimes.
Contribution
It provides a unified formulation of the BMS group's coadjoint representation on spheres and punctured planes, detailing structure constants and conserved currents.
Findings
Explicit construction of the coadjoint representation for different bases
Derivation of structure constants for the BMS algebra
Interpretation of conserved currents in non-radiative spacetimes
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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