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

Abstract

Evidence is presented in some examples that an adinkra quantum number, ${\chi }_{\mathrm{o}}$ (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.

37 pages

References in corpus (4)

• 6D Supersymmetry, Projective Superspace and 4D, N=1 Superfields
• Spin Holography via Dimensional Enhancement
• The Real Anatomy of Complex Linear Superfields
• Reduction Redux of Adinkras

Cited by in corpus (9)

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• Adinkra Foundation of Component Decomposition and the Scan for Superconformal Multiplets in 11D, N = 1 Superspace
• A Proposal On Culling & Filtering A Coxeter Group For 4D, N = 1 Spacetime SUSY Representations
• Examples of 4D, N = 2 Holoraumy
• Exploring the Abelian 4D, $\mathcal{N}$ = 4 Vector-Tensor Supermultiplet and Its Off-Shell Central Charge Structure
• The Dark Side of Double-Tensor Multiplets