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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, one figure, Corrected and improved version

Scientific paper

10.1103/PhysRevD.80.124017

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.

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