## Yang-Mills Interactions and Gravity in Terms of Clifford Algebra

**Authors:** Wei Lu

A model of Yang-Mills interactions and gravity in terms of the Clifford algebra
Cl_{0,6} is presented. The gravity and Yang-Mills actions are formulated as different order
terms in a generalized action. The feebleness of gravity as well as the smallness
of the cosmological constant and theta terms are discussed at the classical level. The
invariance groups, including the de Sitter and the Pati-Salam SU(4) subgroups, consist
of gauge transformations from either side of an algebraic spinor. Upon symmetry
breaking via the Higgs fields, the remaining symmetries are the Lorentz SO(1,3),
color SU(3), electromagnetic U(1)_{EM}, and an additional U(1). The first generation
leptons and quarks are identified with even and odd parts of spinor idempotent projections.
There are still several shortcomings with the current model. Further research
is needed to fully recover the standard model results.

**Comments:** 20 pages, to be published in Advances in Applied Clifford Algebras.

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### Submission history

[v1] 17 Nov 2009

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