Pith. sign in

REVIEW 12 cited by

On classification of (self-dual) higher-spin gravities in flat space

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 2505.12839 v2 pith:NVX7EWUH submitted 2025-05-19 hep-th

On classification of (self-dual) higher-spin gravities in flat space

classification hep-th
keywords higher-spintheoriesfieldsfiniteflatgaugegravitiesgravity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

There is a great number of higher-spin gravities in $3d$ that can have both finite and infinite spectra of fields and can be formulated as Chern-Simons theories. It was believed that this is impossible in higher dimensions, where higher-spin fields do have propagating degrees of freedom. We show that there are infinitely many higher-spin theories in the $4d$ flat space featuring nontrivial local interactions that can have either a finite or infinite number of fields. We classify all one- and two-derivative (i.e. with gauge and gravitational interactions) higher-spin theories by solving the holomorphic constraint in the light-cone gauge obtained by Metsaev. Therefore, these theories are consistent subsectors of the higher-spin extensions of self-dual Yang-Mills/gravity, which in turn are truncations of the chiral higher-spin gravity.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 12 Pith papers

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

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

    hep-th 2026-07 accept novelty 7.5

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

    hep-th 2026-07 conditional novelty 7.0

    Quartic Poincaré-closure in the light-front gauge classifies all one- and two-derivative chiral higher-spin theories in 4d and yields new finite-spectrum local theories and quasi-chiral families.

  3. Massless spinning fields on the Light-Front: quartic vertices and amplitudes

    hep-th 2026-02 conditional novelty 7.0

    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.

  4. BRST-BV approach to fields in Poincare patch of AdS

    hep-th 2026-07 accept novelty 6.5

    A universal BRST-BV Lagrangian for free AdS fields is obtained by solving algebraic defining equations for spin operators, with explicit solutions for totally symmetric integer-spin and continuous-spin fields.

  5. BRST-BV approach to fields in Poincare patch of AdS

    hep-th 2026-07 conditional novelty 6.0

    A general BRST-BV Lagrangian for arbitrary-spin free fields in AdS is constructed by reducing the problem to solving algebraic defining equations for spin operators.

  6. Self-dual holography: four-point AdS/CFT correlators in higher-spin gravity

    hep-th 2026-05 unverdicted novelty 6.0

    Develops holographic dictionary for self-dual higher-spin theories and computes four-point AdS/CFT correlators in a higher-spin extension of self-dual Yang-Mills.

  7. $N$-body modelling of the ED-2 stream progenitor shows Gaia BH3's formation involved dynamical interactions

    astro-ph.GA 2026-04 unverdicted novelty 6.0

    N-body modeling indicates Gaia BH3 formed as an exchange binary via dynamical interactions in the ED-2 progenitor cluster.

  8. Amplitudes in self-dual (higher-spin) theories

    hep-th 2026-04 unverdicted novelty 6.0

    All self-dual theories with or without higher-spin fields possess nontrivial tree-level amplitudes in Kleinian or complex Minkowski kinematics, completing the celestial analogue of the higher-spin duality.

  9. Self-dual gravity from higher-spin theory

    hep-th 2026-03 unverdicted novelty 6.0

    Self-dual gravity with cosmological constant emerges uniquely as the rigid lower-spin sector of four-dimensional higher-spin interactions when only self-dual vertices are kept.

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

    hep-th 2025-11 conditional novelty 6.0

    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...

  11. $N$-body modelling of the ED-2 stream progenitor shows Gaia BH3's formation involved dynamical interactions

    astro-ph.GA 2026-04 unverdicted novelty 5.0

    N-body modeling of the ED-2 progenitor shows Gaia BH3 formed as an exchange binary via multiple dynamical interactions in a dense cluster, not in isolation.

  12. Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang--Mills theory II

    hep-th 2026-06 unverdicted novelty 4.0

    Derives bulk and boundary propagators and computes 3- and 4-point correlators for YM, CS and SDYM in AdS/CFT with multiple boundary conditions to relate their observables.