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arXiv · 2212.11266

From Moyal deformations to chiral higher-spin theories and to celestial algebras

Ricardo Monteiro
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Abstract

We study the connection of Moyal deformations of self-dual gravity and self-dual Yang-Mills theory to chiral higher-spin theories, and also to deformations of operator algebras in celestial holography. The relation to Moyal deformations illuminates various aspects of the structure of chiral higher-spin theories. For instance, the appearance of the self-dual kinematic algebra in all the theories considered here leads via the double copy to vanishing tree-level scattering amplitudes. Regarding celestial holography, the Moyal deformation of self-dual gravity was recently shown to lead to the loop algebra of $W_{\wedge}$, and we obtain here the analogous deformation of a Kac-Moody algebra corresponding to Moyal-deformed self-dual Yang-Mills theory. We also introduce the celestial algebras for various chiral higher-spin theories.

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Ricardo Monteiro. 2023-03-03. From Moyal deformations to chiral higher-spin theories and to celestial algebras. https://doi.org/10.1007/jhep03(2023)062

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