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

Journal of High Energy Physics

卷:2022

Sruthi A. Narayanan¹  Jakob Salzer¹  Andrew Strominger¹  Adam Ball¹ 

[1] Center for the Fundamental Laws of Nature, Harvard University;

关键词: Conformal and W Symmetry;    Scattering Amplitudes;    Conformal Field Theory;   

DOI  :  10.1007/JHEP01(2022)114

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown