Abstract
AbstractA superfield formalism for the minimalZ22-graded version of supersymmetry is developed. This is done by using the recently introduced definition of integration on the minimalZ22-superspace. It is shown that one may constructZ22-supersymmetric action by the procedure similar to the standard supersymmetry. However, the Lagrangian obtained has very general interaction terms, which give rise to aZ22-graded extension of many known theories defined in two-dimensional spacetime. As an illustration, we will give aZ22-extension of the sine-Gordon model different from the one already discussed in the literature.
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