N=4 and N=8 SUSY Quantum Mechanics and Klein's Vierergruppe

Abstract

Sets of signed permutation matrices satisfying the GR(4,4) algebra are shown to be, up to sign, left cosets of Klein's famous Vierergruppe. In this way we verify the count done by computer in 2012, and set it in a more significant mathematical context. A similar analysis works for GR(1,1), GR(2,2) and GR(8,8).

References in corpus (3)

• Adinkras: A Graphical Technology for Supersymmetric Representation Theory
• Relating Doubly-Even Error-Correcting Codes, Graphs, and Irreducible Representations of N-Extended Supersymmetry
• Adinkras and the Dynamics of Superspace Prepotentials

Cited by in corpus (1)

• A Note On Exemplary Off-Shell Constructions Of 4D, $\mathcal{N}$ = 2 Supersymmetry Representations