Symmetry group at future null infinity II: Vector theory
Wen-Bin Liu, Jiang Long
Abstract
A bstract In this paper, we reduce the electromagnetic theory to future null infinity and obtain a vector theory at the boundary. We compute the Poincaré flux operators which could be generalized. We quantize the vector theory, and impose normal order on the extended flux operators. It is shown that these flux operators generate the supertranslation and superrotation. When work out the commutators of these operators, we find that a generalized electromagnetic duality operator should be included as the generators to form a closed symmetry algebra.
Topics & Concepts
PhysicsSymmetry (geometry)Null (SQL)Mathematical physicsOperator (biology)Duality (order theory)Symmetry groupFlux (metallurgy)Theoretical physicsPure mathematicsMathematicsTranscription factorComputer scienceGeneMetallurgyMaterials scienceBiochemistryRepressorChemistryDatabaseGeometryBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum Electrodynamics and Casimir Effect