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, \( \mathcal{N} \) = 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, \( \mathcal{N} \) = 1 supermultiplets form an off-shell 4D, \( \mathcal{N} \) = 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.
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Gates, S.J., Stiffler, K. Adinkra ‘color’ confinement in exemplary off-shell constructions of 4D, \( \mathcal{N} \) = 2 supersymmetry representations. J. High Energ. Phys. 2014, 51 (2014). https://doi.org/10.1007/JHEP07(2014)051
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DOI: https://doi.org/10.1007/JHEP07(2014)051