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Consistent couplings between spin-2 and spin-3 massless fields

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arxiv hep-th/0609221 v3 pith:ULZKOKNQ submitted 2006-09-29 hep-th

classification hep-th
keywords consistentfieldsinvariancemasslessspin-2spin-3algebraanalyticity
verification ladder T0 review T1 audit T2 compute T3 formal

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We solve the problem of constructing consistent first-order cross-interactions between spin-2 and spin-3 massless fields in flat spacetime of arbitrary dimension n > 3 and in such a way that the deformed gauge algebra is non-Abelian. No assumptions are made on the number of derivatives involved in the Lagrangian, except that it should be finite. Together with locality, we also impose manifest Poincare invariance, parity invariance and analyticity of the deformations in the coupling constants.

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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. Structure of $\mathcal{N} = 2$ superfield higher-spin abelian cubic interactions

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    The structure of N=2 abelian cubic higher-spin vertices is fully determined by three analytic supercurrents, and odd-spin (s,1,1) gauge transformations reduce to supersymmetric zilch symmetries.

  3. 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.

  4. Symmetric formulation for higher spin correlators, quantum effective action and anomaly

    hep-th 2026-08 conditional novelty 6.0 of 10

    The trace anomaly of the higher-spin conformal effective action is shown to be the single source of both trace and gauge anomalies, with a 2s-derivative structure in d=4.

  5. Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins

    hep-th 2025-05 conditional novelty 6.0 of 10

    For equal-spin currents up to spin four, conserved three-point correlators can be constructed explicitly as linear combinations of products of spin-one and spin-two Osborn-Petkou building blocks.

  6. A Comment on the Higher-Spin Gauge Models

    hep-th 2024-11 accept novelty 5.0 of 10

    Higher-spin gauge models with BRST-exact cubic vertices are shown to be free off-shell: the deformed action equals the free action up to field redefinitions.

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