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

Lee Smolin
2009 Physical Review D  
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.
doi:10.1103/physrevd.80.124017 fatcat:unbn3brvazcnfck6o32i2mkb7u