A first-order approach to conformal gravity

@article{Zlosnik2016AFA,
  title={A first-order approach to conformal gravity},
  author={T. Zlosnik and H. Westman},
  journal={Classical and Quantum Gravity},
  year={2016},
  volume={34},
  pages={245001}
}
We investigate whether a spontaneously-broken gauge theory of the group $SU(2,2)$ may be a genuine competitor to General Relativity. The basic ingredients of the theory are an $SU(2,2)$ gauge field $A_{\mu}$ and a Higgs field $W$ in the adjoint representation of the group with the Higgs field producing the symmetry breaking $SU(2,2)\rightarrow SO(1,3)\times SO(1,1)$. The action for gravity is polynomial in $\{A_{\mu},W\}$ and the field equations are first-order in derivatives of these fields… Expand

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