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

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arxiv 2208.13750 v2 pith:HH5YDAKN submitted 2022-08-29 hep-th gr-qc

Wei Bu , Simon Heuveline , David Skinner This is my paper
classification hep-thgr-qc
keywords algebrawedgegravityinftymoyalself-dualamplitudesappears
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 5 Pith papers

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