Generalized BMS charge algebra
Miguel Campiglia, Javier Peraza
Abstract
It has been argued that the symmetries of gravity at null infinity should include a $\mathrm{Diff}({S}^{2})$ factor associated with diffeomorphisms on the celestial sphere. However, the standard phase space of gravity does not support the action of such transformations. Building on earlier work by Laddha and one of the authors, we present an extension of the phase space of gravity at null infinity on which $\mathrm{Diff}({S}^{2})$ acts canonically. The Poisson brackets of supertranslation and $\mathrm{Diff}({S}^{2})$ charges reproduce the generalized BMS algebra introduced in [Campiglia and Laddha Phys. Rev. D 90, 124028 (2014)].
Topics & Concepts
Mathematical physicsHomogeneous spacePhysicsInfinityPoisson bracketExtension (predicate logic)Null (SQL)Action (physics)Charge (physics)Pure mathematicsPhase spaceSpace (punctuation)MathematicsAlgebra over a fieldQuantum mechanicsMathematical analysisGeometryLie algebraDatabasePhilosophyProgramming languageComputer scienceLinguisticsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesParticle physics theoretical and experimental studies