http://arxiv.org/abs/0712.0977(adsbygoogle = window.adsbygoogle || []).push({});

The Plebanski action extended to a unification of gravity and Yang-Mills theory

Lee Smolin

13 pages, one figure

(Submitted on 6 Dec 2007)

"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 necessarily has a non-zero cosmological constant and the dynamics 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."

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