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Minimal model of Chiral Higher Spin Gravity

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arxiv 2205.07794 v3 pith:26IY7BMO submitted 2022-05-16 hep-th

classification hep-th
keywords higherspinchiralgravityminimalmodelalgebrasanalysis
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

A unique class of local Higher Spin Gravities with propagating massless fields in $4d$ - Chiral Higher Spin Gravity - was first found in the light-cone gauge. We construct a covariant form of the corresponding field equations in all orders, thus completing the previous analysis of arXiv:2204.10285. This result is equivalent to taking the minimal model (in the sense of $L_\infty$-algebras) of the jet-space BV-BRST formulation of Chiral Higher Spin Gravity, thereby, containing also information about counterterms, anomalies, etc.

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Cited by 5 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. Massless spinning fields on the Light-Front: quartic vertices and amplitudes

    hep-th 2026-02 conditional novelty 7.0 of 10

    A light-front quartic-constraint analysis classifies local massless higher-spin vertices and amplitudes, yielding no-go results for unitary theories and new quasi-chiral higher-spin sectors.

  3. 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...

  4. 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...

  5. A proposal for the role of higher spin fields in Conformal Cyclic Cosmology

    gr-qc 2025-07 reject novelty 6.0 of 10

    A qualitative proposal that non-unitary higher spin physics inside black holes removes degrees of freedom from phase space, resetting entropy between aeons of Conformal Cyclic Cosmology.

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