Supersymmetric Chern-Simons models in harmonic superspaces

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We review harmonic superspaces of the D=3, N=3 and 4 supersymmetries and gauge models in these superspaces. Superspaces of the D=3, N=5 supersymmetry use harmonic coordinates of the SO(5) group. The superfield N=5 actions describe the off-shell infinite-dimensional Chern-Simons supermultiplet.
The contribution to Tomsk volume dedicated to 60th birthday of professor I.I. Buchbinder

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