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A brief review of the harmonic superspace approach to the construction of N=2 supersymmetric higher spin theories is given. We define off-shell analytic harmonic gauge potentials of N=2 supersymmetric higher-spin multiplets and of N=2 superconformal higher-spin multiplets for an arbitrary integer highest spin. The component contents of these N=2 higher-spin supermultiplets are explicitly presented. We also construct their cubic couplings to the hypermultiplet. This short report summarizes the basic results of the series of published papers 1-3 as well as announces those of the forthcoming article 4.
Buchbinder et al. (Thu,) studied this question.