Supertranslation-invariant dressed Lorentz charges
Reza Javadinezhad, Uri Kol, Massimo Porrati
Abstract
A bstract We present an explicit formula for Lorentz boosts and rotations that commute with BMS supertranslations in asymptotically flat spacetimes. Key to the construction is the use of infrared regularizations and of a unitary transformation that makes observables commute with the soft degrees of freedom. We explicitly verify that our charges satisfy the Lorentz algebra and we check that they are consistent with expectations by evaluating them on the supertranslated Minkowski space and on the boosted Kerr black hole.
Topics & Concepts
PhysicsMinkowski spaceLorentz transformationLorentz covarianceMathematical physicsObservableLorentz groupUnitary stateBlack hole (networking)Unitary transformationCPT symmetrySpacetimeSpace (punctuation)Classical mechanicsQuantum electrodynamicsLorentz factorQuantum mechanicsUnitarityTransformation (genetics)Spectrum (functional analysis)Theoretical physicsFour-momentumCommutatorCharge (physics)BispinorInfraredFour-vectorQuantumBlack Holes and Theoretical PhysicsAstrophysical Phenomena and ObservationsNoncommutative and Quantum Gravity Theories