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Towards $\mathcal{N}=2$ superconformal higher-spin theory

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arxiv 2407.21573 v3 pith:S2TFPTZM submitted 2024-07-31 hep-th math-phmath.MP

Sergei M. Kuzenko , Emmanouil S. N. Raptakis This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords higher-spinsuperconformalhypermultipletmathcalmultipletsnoetheroff-shellprocedure
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abstract

Three years ago, we proposed free off-shell models for ${\mathcal N}=2$ superconformal higher-spin multiplets in arbitrary conformally flat backgrounds, constructed conserved conformal higher-spin supercurrents for a massless hypermultiplet, and sketched the Noether procedure to generate its cubic couplings to the superconformal higher-spin multiplets. This paper is devoted to completing the Noether procedure. Specifically, we: (i) describe the unique off-shell primary extensions of the conformal higher-spin supercurrents; (ii) embed the off-shell superconformal prepotentials into primary unconstrained isotwistor multiplets; and (iii) present the unique gauge transformations of the hypermultiplet and the isotwistor prepotentials. An extension of the Noether procedure beyond the cubic level is also sketched, following the earlier ${\mathcal N}=1$ superconformal approach developed by the authors and Ponds in 2022. Our construction is based on making use of the polar hypermultiplet within the projective-superspace setting.

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Cited by 2 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. 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.

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