Perturbatively Exact w_1+\∞ Asymptotic Symmetry of Quantum\n Self-Dual Gravity

2021/11/19 by Adam Ball, Sruthi A. Narayanan, Ball, Adam +6
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2111.10392

openalex publication_date 2021/11/19 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

The infinite tower of positive-helicity soft gravitons in any minimally\ncoupled, tree-level, asymptotically flat four-dimensional (4D) gravity was\nrecently shown to generate a w_1+\∞ asymptotic symmetry algebra. It is\nnatural to ask whether this classical algebra acquires quantum corrections at\nloop level. We explore this in quantum self-dual gravity, whose amplitudes\nacquire known one-loop exact all-plus helicity quantum corrections. We show\nusing collinear splitting formulae that, remarkably, the w_1+\∞ algebra\npersists in quantum self-dual gravity without corrections.\n

Citations

• Celestial operator products of gluons and gravitons

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