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arXiv · 1405.0048

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

S. James Gates, Jr.·Kory Stiffler
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Abstract

Evidence is presented in some examples that an adinkra quantum number, $χ_{\rm o}$ (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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S. James Gates, Jr., Kory Stiffler. 2014-04-30. Adinkra `Color' Confinement In Exemplary Off-Shell Constructions Of 4D, ${\cal N}$ = 2 Supersymmetry Representations. https://doi.org/10.1007/jhep07(2014)051

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