Plebanski action extended to a unification of gravity and Yang-Mills theory (original) (raw)
NASA/ADS
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.
Publication:
Physical Review D
Pub Date:
December 2009
DOI:
arXiv:
Bibcode:
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
E-Print:
12 pages, one figure, Corrected and improved version