## A Gravity, U(4) x U(4) Yang-Mills and Matter Unification in Clifford Spaces

**Authors:** Carlos Castro

A brief review of a Conformal Gravity and U(4) x U(4) Yang-Mills Unification
model in four dimensions from a Clifford Gauge Field Theory in C-spaces
(Clifford spaces) is presented. It based on the (complex) Clifford Cl(4,C) algebra
underlying a complexified four dimensional spacetime (8 real dimensions).
The 16 fermions of each generation can be arranged into the 16 entries of a
4 x 4 matrix associated with the A = 1, 2, 3, ....., 16 indices corresponding to
the dimensions of the Cl(4) gauge algebra. The Higgs sector is also part of
the Cl(4)-algebra polyvector valued gauge field in C-space. The Yukawa couplings
which furnish masses to the fermions (after symmetry breaking) admit a
C-space geometric interpretation as well.

**Comments:** 11 Pages. This article will appear in the special issue of the Invertis Journal of Science and Technology, New Dehli, 2010

**Download:** **PDF**

### Submission history

[v1] 18 Dec 2009

**Unique-IP document downloads:** 145 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.*

*
*