An Explicit Embedding of Gravity and the Standard Model in E8

Details An Explicit Embedding of Gravity and the Standard Model in E8 An Explicit Embedding of Gravity and the Standard Model in E8

2010-06-25

arxiv.org/abs/1006.4908v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To be submitted for peer review and publication in the "Proceedings of the Conference on Representation Theory and Mathematica

Scientific paper

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.

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