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$\mathcal{N} = 2$ higher spins: superfield equations of motion, the hypermultiplet supercurrents, and the component structure

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arxiv 2212.14114 v4 pith:TQCTN5ZV submitted 2022-12-28 hep-th

Ioseph Buchbinder , Evgeny Ivanov , Nikita Zaigraev This is my paper · ORCID
classification hep-th
keywords mathcalstructuresuperfieldarxivbosoniccomponentcurrentsequations
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abstract

As a continuation of our previous papers arXiv:2109.07639 and arXiv:2202.08196, we study the linearized structure of the manifestly $4D, \mathcal{N} = 2$ supersymmetric theory of the cubic couplings of the higher spin gauge superfields to the matter hypermultiplets. We consider in detail the superfield equations of motion, construct the conserved hypermultiplet superfield currents, explore their component structure (basically in the bosonic sector) and compare it with the corresponding currents in the conventional higher-spin bosonic theory. We thoroughly study the $\mathcal{N} = 2$ spin $\mathbf{2}$ and $\mathbf{3}$ models as instructive examples.

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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. Novel $\mathcal{N}=2$ higher-spin supercurrents

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Constructs abelian (s,s1,s2) cubic vertices for N=2 higher-spin supermultiplets that exist only for s ≥ s1+s2 and take the universal form of a gauge prepotential coupled to a conserved supercurrent from Weyl supertens...

  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. Unfolded hypermultiplet in harmonic superspace

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    A single unfolded first-order system reproduces the massless hypermultiplet in harmonic, N=2, N=1, and Minkowski formulations.

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

    hep-th 2026-07 conditional novelty 6.5 of 10

    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. 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.

  6. 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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