Plebanski action extended to a unification of gravity and Yang-Mills theory (original) (raw)

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 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.

Received 27 December 2007

DOI:https://doi.org/10.1103/PhysRevD.80.124017

Authors & Affiliations

Lee Smolin*

Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario N2J 2Y5, Canada
*lsmolin@perimeterinstitute.ca

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