# Celestial w1+∞ Symmetries from Twistor Space

@article{Adamo2022CelestialWS, 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} }

. 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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