English

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

High Energy Physics - Theory 2016-09-21 v3

Abstract

We review the mathematical tools required to cull and filter representations of the Coxeter Group BC4BC_4 into providing bases for the construction of minimal off-shell representations of the 4D, N {\cal N} = 1 spacetime supersymmetry algebra. Of necessity this includes a description of the mathematical mechanism by which four dimensional Lorentz symmetry appears as an emergent symmetry in the context of one dimensional adinkras with four colors described by the Coxeter Group BC4BC_4.

Keywords

Cite

@article{arxiv.1601.00725,
  title  = {A Proposal On Culling & Filtering A Coxeter Group For 4D, N = 1 Spacetime SUSY Representations},
  author = {D. E. A. Gates and S. James Gates},
  journal= {arXiv preprint arXiv:1601.00725},
  year   = {2016}
}

Comments

LaTeX twice, 1 figure, 11 ppg, (update includes comment on number of acceptable four-color adinkras)

R2 v1 2026-06-22T12:22:58.647Z