Higher Spins in Harmonic Superspace

Abstract

We report on a recent progress in constructing off-shell $\mathcal{N}=2,4D$ supersymmetric integer higher-spin theory in terms of unconstrained harmonic analytic gauge superfields and their cubic interaction with the matter hypermultiplets. For even superspins a new equivalent representation of the hypermultiplet couplings in terms of analytic $\omega$ superfield is presented. It involves both cubic and quartic vertices.

20 pages, Contribution to the Proceedings of the Academician A.A. Slavnov Memorial Conference (Moscow, December 21 - 22, 202), to be published in "Theor. Math. Phys.''; arXiv number in ref.[20] corrected