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Adinkra ‘color’ confinement in exemplary off-shell constructions of 4D, \( \mathcal{N} \) = 2 supersymmetry representations

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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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Extended Supersymmetry Superspaces 
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© The Author(s) 2014

Authors and Affiliations

  1. 1.Center for String and Particle Theory, Department of PhysicsUniversity of MarylandCollege ParkU.S.A.
  2. 2.Department of Chemistry, Physics, and AstronomyIndiana University NorthwestGaryU.S.A.

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