# Celestial w1+∞ Symmetries from Twistor Space

title={Celestial w1+∞ Symmetries from Twistor Space},
author={Tim Adamo and Lionel Mason and Atul Sharma},
journal={Symmetry, Integrability and Geometry: Methods and Applications},
year={2022}
}
• 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…
18 Citations

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