4D, \( \mathcal{N} \) = 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, \( \mathcal{N} \) = 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 n c -cis and n t -trans representations. Analyzing the real scalar and complex linear super-field multiplets, these “chemical enantiomer” numbers are found to be n c  = n t  = 1 and n c  = 1, n t  = 2, respectively.

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Correspondence to Kory Stiffler.

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ArXiv ePrint: 1112.2147

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Gates, S.J., Hallett, J., Parker, J. et al. 4D, \( \mathcal{N} \) = 1 supersymmetry genomics (II). J. High Energ. Phys. 2012, 71 (2012). https://doi.org/10.1007/JHEP06(2012)071

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Keywords

  • Extended Supersymmetry
  • Superspaces