Perturbatively exact w1+∞ asymptotic symmetry of quantum self-dual gravity

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+infinity) 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+infinity) algebra persists in quantum self-dual gravity without corrections.

Automated summary

Research shows that the infinite tower of positive-helicity soft gravitons in quantum self-dual gravity generates a w(1+infinity) asymptotic symmetry algebra, and there are no quantum corrections at the one-loop level.