A Proposal On Culling & Filtering A Coxeter Group For 4D, N = 1 Spacetime SUSY Representations

摘要

We review the mathematical tools required to cull and filter representationsof the Coxeter Group $BC_4$ into providing bases for the construction ofminimal off-shell representations of the 4D, $ {\cal N}$ = 1 spacetimesupersymmetry algebra. Of necessity this includes a description of themathematical mechanism by which four dimensional Lorentz symmetry appears as anemergent symmetry in the context of one dimensional adinkras with four colorsdescribed by the Coxeter Group $BC_4$.