jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pWe 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 jats:italicLW</jats:italic>jats:sub∧</jats:sub> that generalises jats:italicLw</jats:italic>jats:sub∧</jats:sub>, the loop algebra of the wedge algebra of jats:italicw</jats:italic>jats:sub1+jats:italic∞</jats:italic></jats:sub>, which appears in self-dual gravity.</jats:p>