Free-Fermionic $SO(8)$ And tri$(\mathbb{O})$

Abstract

In this note, we speculate about the fundamental role being played by the $SO(8)$ group representations displaying the triality structure that necessarily arise in models constructed under the free fermionic methodology as being remnants of the higher-dimensional triality algebra tri$(\mathbb{O})=\mathfrak{so}(8)$.

15 pages. arXiv admin note: text overlap with arXiv:1309.0546 by other authors