Off-shell actions for massless higher-spin N=1 supermultiplets in five dimensions (5D) are constructed in harmonic superspace in terms of unconstrained prepotentials. Cubic couplings of these supermultiplets to the q-hypermultiplet are derived. We also provide a detailed derivation of the unconstrained prepotential for the 5D Weyl supermultiplet which has been used within the conformal superspace approach to N=1 supergravity-matter systems.
Buchbinder et al. (Mon,) studied this question.
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