4D, N = 1 supersymmetry genomics (II)

Abstract

We continue the development of a theory of off-shell supersymmetric representations analogous to that of compact Lie algebras such as SU(3). For off-shell 4D, N = 1 systems, quark-like representations have been identified [1] in terms of cis-Adinkras and trans-Adinkras and it has been conjectured that arbitrary representations are composites of nc-cis and n t-trans representations. Analyzing the real scalar and complex linear superfield multiplets, these "chemical enantiomer" numbers are found to be nc= nt= 1 and nc= 1, nt= 2, respectively. © 2012 SISSA.