Plebanski action extended to a unification of gravity and YangMills theory
Abstract
We study a unification of gravity with YangMills fields based on a simple extension of the Plebanski action to a Lie group G which contains the local Lorentz group. The ColemanMandula 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.
 Publication:

Physical Review D
 Pub Date:
 December 2009
 DOI:
 10.1103/PhysRevD.80.124017
 arXiv:
 arXiv:0712.0977
 Bibcode:
 2009PhRvD..80l4017S
 Keywords:

 04.60.Pp;
 04.60.m;
 12.10.g;
 Loop quantum gravity quantum geometry spin foams;
 Quantum gravity;
 Unified field theories and models;
 High Energy Physics  Theory
 EPrint:
 12 pages, one figure, Corrected and improved version