## An Exceptional E_{8} Gauge Theory of Gravity in D = 8, Clifford Spaces and Grand Unification

**Authors:** Carlos Castro

A candidate action for an Exceptional E_{8} gauge theory of gravity in 8D
is constructed. It is obtained by recasting the E_{8} group as the semi-direct
product of GL(8,R) with a deformed Weyl-Heisenberg group associated
with canonical-conjugate pairs of vectorial and antisymmetric tensorial
generators of rank two and three. Other actions are proposed, like the
quartic E_{8} group-invariant action in 8D associated with the Chern-Simons
E_{8} gauge theory defined on the 7-dim boundary of a 8D bulk. To finalize,
it is shown how the E_{8} gauge theory of gravity can be embedded into a
more general extended gravitational theory in Clifford spaces associated
with the Cl(16) algebra and providing a solid geometrical program of a
grand-unification of gravity with Yang-Mills theories. The key question
remains if this novel gravitational model based on gauging the E8 group
may still be renormalizable without spoiling unitarity at the quantum
level.

**Comments:** 22 pages, This article will appear in the Int J. Geom. Meth in Mod Phys vol 6 , no. 6 (Sept 2009)

**Download:** **PDF**

### Submission history

[v1] 25 Aug 2009

**Unique-IP document downloads:** 168 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.*

*
*