Adinkras and the Dynamics of Superspace Prepotentials

Abstract

We demonstrate a method for describing one-dimensional N-extended supermultiplets and building supersymmetric actions in terms of unconstrained prepotential superfields, explicitly working with the Scalar supermultiplet. The method uses intuitive manipulations of Adinkras and GR(d,N) algebras, a variant of Clifford algebras. In the process we clarify the relationship between Adinkras, GR(d,N) algebras, and superspace.

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