The Plebanski action extended to a unification of gravity and Yang-Mills theory
High Energy Physics - Theory
2009-12-30 v2
Abstract
We study a unification of gravity with Yang-Mills fields based on a simple extension of the Plebanski action to a Lie group G which contains the local lorentz group. The Coleman-Mandula theorem is avoided because the theory has no global spacetime symmetry. This may be applied to Lisi's proposal of an E8 unified theory, giving a fully E8 invariant action. The extended form of the Plebanski action suggests a new class of spin foam models.
Keywords
Cite
@article{arxiv.0712.0977,
title = {The Plebanski action extended to a unification of gravity and Yang-Mills theory},
author = {Lee Smolin},
journal= {arXiv preprint arXiv:0712.0977},
year = {2009}
}
Comments
12 pages, one figure, Corrected and improved version