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Spontaneous Symmetry Breaking To GR in SO(4,2) Gravitational Yang-Mills Theory

Spontaneous Symmetry Breaking To GR in SO(4,2) Gravitational Yang-Mills Theory

We consider a Yang-Mills type gauge theory of gravity based on the conformal group SO(4,2) coupled to a conformally invariant real scalar field. The goal is to generate fundamental dimensional constants via spontaneous breakdown of the conformal symmetry. In the absence of other matter couplings the resulting theory resembles Weyl-Einstein …