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.
@article{arxiv.0902.3830,
title = {4D, N = 1 Supersymmetry Genomics (I)},
author = {S. J. Gates and J. Gonzales and B. MacGregor and J. Parker and R. Polo-Sherk and V. G. J. Rodgers and L. Wassink},
journal= {arXiv preprint arXiv:0902.3830},
year = {2009}
}
Comments
53 pages, 19 figures, Report-II of SSTPRS 2008 Added another chapter for clarification