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arxiv: 0902.3830 · v4 · submitted 2009-02-22 · ✦ hep-th

4D, N = 1 Supersymmetry Genomics (I)

classification ✦ hep-th
keywords adinkrascomponentdescribedrepresentationalgebrasassociatedbehindcis-valise
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Presented in this paper the nature of the supersymmetrical representation theory behind 4D, N = 1 theories, as described by component fields, is investigated using the tools of Adinkras and Garden Algebras. A survey of familiar matter multiplets using these techniques reveals they are described by two fundamental valise Adinkras that are given the names of the cis-Valise (c-V) and the trans-Valise (t-V). A conjecture is made that all off-shell 4D, N = 1 component descriptions of supermultiplets are associated with two integers - the numbers of c-V and t-V Adinkras that occur in the representation.

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