Pith. sign in

REVIEW 6 cited by

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

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2212.11266 v2 pith:G2LKVECO submitted 2022-12-21 hep-th

classification hep-th
keywords self-dualtheoriescelestialchiraldeformationshigher-spinmoyalalgebra
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
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.

Discussion (0). Sign in to comment.

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Light-Front approach to $4d$ massless Higher-Spin interactions

    hep-th 2026-07 conditional novelty 7.5 of 10

    Solving Poincaré-algebra closure at quartic order yields infinitely many local 4d massless higher-spin theories (finite or infinite spectra), classifies chiral one-/two-derivative models, and determines all local unit...

  2. Three-dimensional non-relativistic chiral massive higher-spin gravity

    hep-th 2025-11 conditional novelty 6.0 of 10

    A non-relativistic massive higher-spin gravity in deformed AdS₃ is constructed by Lifshitz-deforming and null-reducing chiral massless higher-spin gravity; under an assumed mass-spin relation its cubic couplings vanis...

  3. On symmetry breaking in the self-dual higher-spin theory

    hep-th 2025-09 conditional novelty 6.0 of 10

    In the self-dual higher-spin theory, a scalar vacuum that breaks AdS symmetry to 3D Poincaré makes all higher-spin gauge fields decouple except spin one, and makes higher-spin currents non-conserved except the spin-on...

  4. Higher-spins on Taub-NUT and higher-spin Taub-NUT

    hep-th 2025-08 conditional novelty 6.0 of 10

    Higher-spin fields are solved exactly on the Taub-NUT instanton in the self-dual Yang-Mills truncation, and an order-by-order convergent higher-spin Taub-NUT solution is constructed in self-dual gravity, organized by ...

  5. Associativity of celestial OPE, higher spins and self-duality

    hep-th 2025-08 conditional novelty 6.0 of 10

    Celestial OPE associativity, the Jacobi identity of a vertex-derived gauge algebra, vanishing four-point amplitudes, and the light-cone holomorphic constraint are shown to be the same consistency condition, solved for...

  6. Celestial Chiral Algebras and Self-Dual Gravity

    hep-th 2025-07 conditional novelty 4.0 of 10

    This thesis derives deformations of celestial chiral algebras in self-dual gravity on curved backgrounds, obtaining W(infinity) on Eguchi-Hanson space, Ldiff_q(C) under Moyal deformation, and a two-parameter deformati...

Pith tools