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4D, \( \mathcal{N} \) = 1 supersymmetry genomics (II)

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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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Authors and Affiliations

  1. Center for String and Particle Theory, Department of Physics, University of Maryland, College Park, MD, 20742-4111, U.S.A

    S. James Gates Jr, James Parker & Kory Stiffler

  2. Department of Mathematics, Williams College, Williamstown, MA, 01267, U.S.A

    Jared Hallett

  3. Department of Physics and Astronomy, University of Iowa, Iowa City, IA, 52242, U.S.A

    Vincent G. J. Rodgers

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  1. S. James Gates Jr
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  2. Jared Hallett
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  3. James Parker
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  4. Vincent G. J. Rodgers
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  5. Kory Stiffler
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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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  • DOI: https://doi.org/10.1007/JHEP06(2012)071

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