Celestial w1+∞ Symmetries from Twistor Space

  title={Celestial w1+∞ Symmetries from Twistor Space},
  author={Tim Adamo and Lionel Mason and Atul Kumar Sharma},
  journal={Symmetry, Integrability and Geometry: Methods and Applications},
  • T. Adamo, L. Mason, A. Sharma
  • Published 12 October 2021
  • Mathematics
  • Symmetry, Integrability and Geometry: Methods and Applications
. We explain how twistor theory represents the self-dual sector of four dimensional gravity in terms of the loop group of Poisson diffeomorphisms of the plane via Penrose’s nonlinear graviton construction. The symmetries of the self-dual sector are generated by the corresponding loop algebra Lw 1+ ∞ of the algebra w 1+ ∞ of these Poisson diffeomorphisms. We show that these coincide with the infinite tower of soft graviton symmetries in tree-level perturbative gravity recently discovered in the… 

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