From Moyal deformations to chiral higher-spin theories and to celestial algebras. (English) Zbl 07690626
Summary: 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.
MSC:
| 81T75 | Noncommutative geometry methods in quantum field theory |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81R15 | Operator algebra methods applied to problems in quantum theory |
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
| 81T35 | Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) |
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