Moyal deformations, W 1+∞ and celestial holography

Abstract

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 w 1+∞ , which appears in self-dual gravity.

Keywords

• Conformal and W Symmetry
• Scattering Amplitudes
• Higher Spin Symmetry
• Non-Commutative Geometry