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Massless higher spin cubic vertices in flat four dimmensional space

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arxiv 2005.09851 v2 pith:B3XM6PEZ submitted 2020-05-20 hep-th

M. V. Khabarov , Yu. M. Zinoviev This is my paper · ORCID
classification hep-th
keywords cubicflatfourhigherspaceverticesconstructmassless
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper we construct a number of cubic interaction vertices for massless bosonic and fermionic higher spin fields in flat four dimensional space. First of all, we construct these cubic vertices in AdS_4 space using a so-called Fradkin-Vasiliev approach, which works only for the non-zero cosmological constant. Then we consider a flat limit taking care on all the higher derivative terms which FV-approach generates. We restrict ourselves with the four dimensions because this allows us to use the frame-like multispinor formalism which greatly simplifies all calculations and provides a description for bosons and fermions on equal footing.

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Cited by 3 Pith papers

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

  1. 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.

  2. On massive higher spins and gravity. IV. Arbitrary spin

    hep-th 2026-02 conditional novelty 7.0 of 10

    Massive arbitrary-spin fields admit a unique gauge-invariant gravitational vertex built from minimal plus RPhiPhi non-minimal terms, with minimal interactions surviving only for massless AdS fields and depth-2 partial...

  3. 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.

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