Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
Glenn Barnich, Kévin Nguyen, Romain Ruzziconi
Abstract
A bstract The constrained Hamiltonian analysis of geometric actions is worked out before applying the construction to the extended Bondi-Metzner-Sachs group in four dimensions. For any Hamiltonian associated with an extended BMS 4 generator, this action provides a field theory in two plus one spacetime dimensions whose Poisson bracket algebra of Noether charges realizes the extended BMS 4 Lie algebra. The Poisson structure of the model includes the classical version of the operator product expansions that have appeared in the context of celestial holography. Furthermore, the model reproduces the evolution equations of non-radiative asymptotically flat spacetimes at null infinity.
Topics & Concepts
PhysicsPoisson bracketMathematical physicsHamiltonian (control theory)Noether's theoremAction (physics)Lie algebraQuantum mechanicsMathematicsLagrangianMathematical optimizationBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories