Abstract

The authors show that a judicious choice of nonlinear realisation of centrally extended N supersymmetry permits the construction of chiral-like superfields with a 2N-dimensional a-number parameter at the expense of an external superspin' index which labels multiplets of several irreducible representations of the Lorentz group. The generalized superfields considered here have 4N+(N2)/ component fields altogether, as opposed to the 16N expected conventionally. The N=2 case is examined in detail, and the decomposition of arbitrary spin superfields into irreducible parts is given. The connection with other N=2 superfield analyses is pointed out, and the structure of 'spin-reducing' representations with p2+ mod Z mod 2=0 is exhibited.

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