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

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.

30 pages, 3 figures; v2: minor changes

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Cited by in corpus (7)

• Bridging Carrollian and Celestial Holography
• The Celestial Chiral Algebra of Self-Dual Gravity on Eguchi-Hanson Space
• Gauge independent kinematic algebra of self-dual Yang-Mills theory
• Detector Operators for Celestial Symmetries
• A General Hierarchy of Charges at Null Infinity via the Todd Polynomials
• Celestial $s{w}_{1+\infty }$ algebra in Einstein-Yang-Mills theory
• Loop corrections versus marginal deformation in celestial holography