Moyal deformations, $W_{1+\infty}$ and celestial holography

Wei Bu; Simon Heuveline; David Skinner

paper

Moyal deformations, $W_{1 + \infty}$ and celestial holography

arXiv:2208.13750

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 $L W_{\land}$ that generalises $L w_{\land}$ , the loop algebra of the wedge algebra of $w_{1 + \infty}$ , which appears in self-dual gravity.

Some argument slightly changed, references added

Moyal deformations, W1+∞​ and celestial holography

Abstract

Moyal deformations, $W_{1 + \infty}$ and celestial holography