## A Chern-Simons E_{8} Gauge Theory of Gravity in D = 15, Grand Unification and Generalized Gravity in Clifford Spaces

**Authors:** Carlos Castro

A novel Chern-Simons E_{8} gauge theory of gravity in D = 15 based on an octic E_{8}
invariant expression in D = 16 (recently constructed by Cederwall and Palmkvist) is
developed. A grand unification model of gravity with the other forces is very plausible
within the framework of a supersymmetric extension (to incorporate spacetime fermions)
of this Chern-Simons E_{8} gauge theory. We review the construction showing why the
ordinary 11D Chern-Simons gravity theory (based on the Anti de Sitter group) can be
embedded into a Clifford-algebra valued gauge theory and that an E_{8} Yang-Mills field
theory is a small sector of a Clifford (16) algebra gauge theory. An E_{8} gauge bundle formulation
was instrumental in understanding the topological part of the 11-dim M-theory
partition function. The nature of this 11-dim E_{8} gauge theory remains unknown. We
hope that the Chern-Simons E_{8} gauge theory of gravity in D = 15 advanced in this
work may shed some light into solving this problem after a dimensional reduction.

**Comments:** 19 Pages. This article appeared in the International Journal of Geometric Methods in Modern Physics Vol. 4, No. 8 (2007) 1239–1257.

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### Submission history

[v1] 14 Sep 2009

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