The algebraic elements of gravitational and Standard Model gauge fields acting on a generation of fermions may be represented using real matrices. These elements match a subalgebra of spin(11,3) acting on a Majorana-Weyl spinor, consistent with GraviGUT unification. This entire structure embeds in the quaternionic real form of the largest exceptional Lie algebra, E8. These embeddings are presented explicitly and their implications discussed.
- Pub Date:
- June 2010
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- To be submitted for peer review and publication in the "Proceedings of the Conference on Representation Theory and Mathematical Physics." 14 pages. No figures