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arXiv · 2208.13750

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

Wei Bu·Simon Heuveline·David Skinner
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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 $LW_\wedge$ that generalises $Lw_\wedge$, the loop algebra of the wedge algebra of $w_{1+\infty}$, which appears in self-dual gravity.

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Wei Bu, Simon Heuveline, David Skinner. 2022-10-11. Moyal deformations, $W_{1+\infty}$ and celestial holography. https://arxiv.org/abs/2208.13750

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