Perturbatively exact w1+∞ asymptotic symmetry of quantum self-dual gravity
Adam Ball, Sruthi A. Narayanan, Jakob Salzer, Andrew Strominger
Abstract
A bstract The infinite tower of positive-helicity soft gravitons in any minimally coupled, tree-level, asymptotically flat four-dimensional (4D) gravity was recently shown to generate a w 1+∞ asymptotic symmetry algebra. It is natural to ask whether this classical algebra acquires quantum corrections at loop level. We explore this in quantum self-dual gravity, whose amplitudes acquire known one-loop exact all-plus helicity quantum corrections. We show using collinear splitting formulae that, remarkably, the w 1+∞ algebra persists in quantum self-dual gravity without corrections.
Topics & Concepts
PhysicsQuantum gravityGravitonLoop quantum gravitySymmetry (geometry)HelicityMathematical physicsSpin foamQuantumGravitationQuantum mechanicsGeometryMathematicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories