Spacetime Spin and Chirality Operators for Minimal 4D, $\mathcal{N}$ = 1 Supermultiplets From BC${}_4$ Adinkra-Tessellation of Riemann Surfaces

Abstract

We propose an explicit mathematical construction and plausibility arguments for how spacetime chirality and Lorentz generators emerge for minimal, off-shell 4D, $\mathcal{N}$ = 1 supermultiplets by use of a 4.4.4.4 tesselation of Riemann surfaces based on plaquettes originating from Coxeter Group BC${}_4$ adinkras.

12 pages, 4 figures, LaTeX twice, presentation at the "Brown University Adinkra Math/Phys Hangout" (19-23 Dec. 2016)

References in corpus (3)

• 4D, N = 1 Supersymmetry Genomics (I)
• Topology Types of Adinkras and the Corresponding Representations of N-Extended Supersymmetry
• Relating Doubly-Even Error-Correcting Codes, Graphs, and Irreducible Representations of N-Extended Supersymmetry