Abstract
A general method for deriving the superfield equations of motion is proposed. These equations contain the supplementary conditions of irreducibility with respect to the supersymmetry group. The method uses projection operators which single out the irreducible representations and especially the algebraic roots of these operators. It is found that the standard equations of motion for spin-vector and symmetric tensor fields can in fact be obtained by extracting the square roots of the projection operators for spin-3/2 and spin-2, respectively. The spinor superfield equation is deduced and discussed in detail.
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