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Perturbatively Exact $w_{1+\infty}$ Asymptotic Symmetry of Quantum Self-Dual Gravity

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arxiv 2111.10392 v1 pith:KU2CQNG7 submitted 2021-11-19 hep-th

Adam Ball , Sruthi Narayanan , Jakob Salzer , Andrew Strominger This is my paper
classification hep-th
keywords quantumgravityalgebracorrectionsinftyself-dualasymptoticexact
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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 $w_{1+\infty}$ 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 $w_{1+\infty}$ algebra persists in quantum self-dual gravity without corrections.

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Cited by 5 Pith papers

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