Perturbatively exact w 1+∞ asymptotic symmetry of quantum self-dual gravity

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+∞ asymptotic symmetry algebra. It is natural to ask whether this classical algebra acquires quantum corrections...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2022; no. 1; pp. 1 - 12
Main Authors Adam Ball, Sruthi A. Narayanan, Jakob Salzer, Andrew Strominger
Format Journal Article
LanguageEnglish
Published SpringerOpen 01.01.2022
Subjects
Conformal and W Symmetry
Conformal Field Theory
Scattering Amplitudes
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Summary: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+∞ 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.
ISSN:1029-8479
DOI:10.1007/JHEP01(2022)114