## 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.

**Download:** **PDF**

### Submission history

[v1] 14 Sep 2009

### Blog Trackbacks

Einstein vs Teoria Conectada: Las Transformaciones Relacionales [posted October 20, 2009]

**Unique-IP document downloads:** 137 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*