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arxiv: 1405.0048 · v1 · pith:4ZZHEDLFnew · submitted 2014-04-30 · ✦ hep-th · math.RT

Adinkra `Color' Confinement In Exemplary Off-Shell Constructions Of 4D, {cal N} = 2 Supersymmetry Representations

classification ✦ hep-th math.RT
keywords off-shelladinkracolornumberquantumroleadinkrasalgebras
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Evidence is presented in some examples that an adinkra quantum number, $\chi_{\rm o}$ (arXiv:\ 0902.3830 [hep-th]), seems to play a role with regard to off-shell 4D, $\cal N$ = 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, $\cal N$ = 1 supermultiplets form an off-shell 4D, $\cal N$ = 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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