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

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 $2$ and $3$ models as instructive examples.

arXiv comment0 + 90 pages, typos corrected; published version

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Cited by in corpus (9)

• $\mathcal{N}=2$ superconformal higher-spin multiplets and their hypermultiplet couplings
• On higher-spin $\mathcal{N}=2$ supercurrent multiplets
• Off-shell invariants of linearized $4D,\mathcal{N}=2$ supergravity in the harmonic approach
• $\mathcal{N}=2$ superconformal gravitino in harmonic superspace
• $\mathcal{N}=2$ AdS hypermultiplets in harmonic superspace
• $\mathcal{N}=2$ higher-spin theories and harmonic superspace
• Unfolded hypermultiplet in harmonic superspace
• Supersymmetry at BLTP: Recent Progress in Two Directions
• Novel $\mathcal{N}=2$ higher-spin supercurrents