Adinkra 'color' confinement in exemplary off-shell constructions of 4D, N = 2 supersymmetry representations

Abstract

Evidence is presented in some examples that an adinkra quantum number, χo (arXiv: 0902.3830 [hep-th]), seems to play a role with regard to off-shell 4D, N = 2 SUSY similar to the role of color in QCD. The vanishing of this adinkra quantum number appears to be a condition required for when two off-shell 4D, N = 1 supermultiplets form an off-shell 4D, N = 2 supermultiplet. We also explicitly comment on a deformation of the Lie bracket and anti-commutator operators that has been extensively and implicitly used in our work on "Garden Algebras" adinkras, and codes. © 2014 The Author(s).