Abstract
We consider the Moyal deformation of self-dual gravity. In the conformal primary basis, holomorphic collinear limits of the amplitudes of this theory show that it enjoys a perturbatively exact symmetry algebra LW∧ that generalises Lw∧, the loop algebra of the wedge algebra of w1+∞, which appears in self-dual gravity.
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Bu, W., Heuveline, S. & Skinner, D. Moyal deformations, W1+∞ and celestial holography. J. High Energ. Phys. 2022, 11 (2022). https://doi.org/10.1007/JHEP12(2022)011
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DOI: https://doi.org/10.1007/JHEP12(2022)011