Adinkra `color' confinement in exemplary off-shell constructions of 4D, = 2 supersymmetry representations
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, = 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, = 1 supermultiplets form an off-shell 4D, = 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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- July 2014
- DOI:
- arXiv:
- arXiv:1405.0048
- Bibcode:
- 2014JHEP...07..051G
- Keywords:
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- Extended Supersymmetry;
- Superspaces;
- High Energy Physics - Theory;
- Mathematics - Representation Theory;
- 81T60;
- G.2.2
- E-Print:
- 37 pages