English

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

High Energy Physics - Theory 2022-10-12 v2 General Relativity and Quantum Cosmology

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 LWLW_\wedge that generalises LwLw_\wedge, the loop algebra of the wedge algebra of w1+w_{1+\infty}, which appears in self-dual gravity.

Keywords

Cite

@article{arxiv.2208.13750,
  title  = {Moyal deformations, $W_{1+\infty}$ and celestial holography},
  author = {Wei Bu and Simon Heuveline and David Skinner},
  journal= {arXiv preprint arXiv:2208.13750},
  year   = {2022}
}

Comments

Some argument slightly changed, references added

R2 v1 2026-06-25T02:03:53.346Z