Abstract
Superfield representations of supersymmetry algebras with central charges are studied. An interacting field theory realization of the SU(2) invariant example is given, which is shown to be just another interpretation of P. Fayet's “hypersymmetry”. For certain massless cases it is shown that the theory has a larger SU(4) invariance once the equations of motion are used, thus providing us with a possible superfield formulation of the SU(4) supersymmetric gauge theory.
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