Towards a Loop Quantum Gravity and Yang-Mills Unification

Understand

We propose a new method of unifying gravity and the Standard Model by introducing a spin-foam model.

• We realize a unification between an SU(2) Yang-Mills interaction and 3D general relativity by considering a Spin(4) Plebanski action.
• The theory is quantized a la spin-foam by implementing the analogue of the simplicial constraints for the broken phase of the Spin(4) SO(4) symmetry.
• A natural 4D extension of the theory is shown.