English

An Explicit Embedding of Gravity and the Standard Model in E8

General Relativity and Quantum Cosmology 2010-06-28 v1 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1006.4908,
  title  = {An Explicit Embedding of Gravity and the Standard Model in E8},
  author = {A. Garrett Lisi},
  journal= {arXiv preprint arXiv:1006.4908},
  year   = {2010}
}

Comments

To be submitted for peer review and publication in the "Proceedings of the Conference on Representation Theory and Mathematical Physics." 14 pages. No figures

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