4D, N = 1 Supersymmetry Genomics (I)

Details 4D, N = 1 Supersymmetry Genomics (I) 4D, N = 1 Supersymmetry Genomics (I)

2009-02-22

arxiv.org/abs/0902.3830v4

JHEP 0912:008,2009

Physics

High Energy Physics

High Energy Physics - Theory

53 pages, 19 figures, Report-II of SSTPRS 2008 Added another chapter for clarification

Scientific paper

10.1088/1126-6708/2009/12/008

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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