Abstract
We develop an O(5) gauge theory in which the O(5) symmetry is spontaneously broken to O(4) with a scale on the order of the Planck mass. The ten components of the O(5) gauge field are identified as the four vierbeins and six connections of Euclidean general relativity. In the strong-coupling limit the effective action is dominated by a dimension-five operator induced by the anomalous fermion triangle loop which turns out to be the usual Hilbert action. The metric is not a dynamical field in this model and its equation of constraint is just the usual metric-vierbein relation. We suggest SU(9) \ensuremath{\supset} SU(5)\ifmmode\times\else\texttimes\fi{}O(5) as the simplest group for a totally unified theory.
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