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Extended superconformal higher-spin gauge theories in four dimensions

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arxiv 2104.10416 v3 pith:CFG7PIQA submitted 2021-04-21 hep-th

Sergei M. Kuzenko , Emmanouil S. N. Raptakis This is my paper · ORCID
classification hep-th
keywords superconformalgaugehigher-spindimensionsextendedfieldfourstrengths
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Using the off-shell formulation for ${\cal N}=2$ conformal supergravity in four dimensions, we describe superconformal higher-spin multiplets of conserved currents in a curved background and present their associated unconstrained gauge prepotentials. The latter are used to construct locally superconformal chiral actions, which are demonstrated to be gauge invariant in arbitrary conformally flat backgrounds. The main ${\cal N}=2$ results are then generalised to the ${\cal N}$-extended case. We also present the gauge-invariant field strengths for on-shell massless higher-spin ${\cal N}=2$ supermultiplets in anti-de Sitter space. These field strengths prove to furnish representations of the ${\cal N}=2$ superconformal group.

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Cited by 4 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. Linearized $\mathcal{N}=2$ conformal supergravity in the harmonic approach

    hep-th 2025-11 conditional novelty 6.0 of 10

    The first harmonic-superspace action for linearized N=2 conformal supergravity is constructed and shown to be superconformally invariant in both harmonic and chiral superspaces.

  3. Nonlinear self-duality for arbitrary spin, superspin, and supersymmetry type

    hep-th 2026-02 conditional novelty 4.0 of 10

    Every U(1) duality-invariant (super)conformal gauge theory of arbitrary (super)spin obeys a universal self-duality equation, is Legendre self-dual, and (for spin > 1) lives only on conformally flat backgrounds.

  4. Supersymmetry at BLTP: Recent Progress in Two Directions

    hep-th 2026-06 unverdicted novelty 1.0 of 10

    A self-review of the BLTP supersymmetry group's recent results in N=2 harmonic-superspace higher-spin models and 6D supersymmetric effective actions.

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