An exceptional E<inf>8</inf> gauge theory of gravity in D = 8, Clifford spaces and grand unification

Abstract:

A candidate action for an Exceptional E8 gauge theory of gravity in 8D is constructed. It is obtained by recasting the E8 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 E8 group-invariant action in 8D associated with the Chern-Simons E8 gauge theory defined on the 7-dim boundary of a 8D bulk. To finalize, it is shown how the E8 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. © 2009 World Scientific Publishing Company.

Año de publicación:

2009

Keywords:

• Clifford algebras
• String theory
• C-space Gravity
• Exceptional Algebras
• Grand unification

Fuente:

scopus