Coadjoint representation of the BMS group on celestial Riemann surfaces
Glenn Barnich, Romain Ruzziconi
Abstract
A bstract 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.
Topics & Concepts
PhysicsGroup (periodic table)Representation (politics)Riemann surfaceMathematical physicsRiemann spherePure mathematicsGroup representationAlgebra over a fieldConstant (computer programming)Structure constantsSurface (topology)Representation theoryCurrent (fluid)Rotation group SOWess–Zumino–Witten modelTrivial representationCompact Riemann surfaceGauge groupGeometric Analysis and Curvature FlowsNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics