Abstract
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 w1+∞ 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 w1+∞ algebra persists in quantum self-dual gravity without corrections.
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Ball, A., Narayanan, S.A., Salzer, J. et al. Perturbatively exact w1+∞ asymptotic symmetry of quantum self-dual gravity. J. High Energ. Phys. 2022, 114 (2022). https://doi.org/10.1007/JHEP01(2022)114
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DOI: https://doi.org/10.1007/JHEP01(2022)114