Conformal metric-affine gravities

Abstract We revisit the gauge symmetry related to integrable projective transformations in metric-affine formalism, identifying field of Weyl (conformal) as a dynamical component affine connection. In particular, we show how include local scaling large class geometric gravity theories, introducing compensator dilaton that naturally gives rise Stückelberg sector where spontaneous breaking mechanism conformal is at work generate mass scale for field. For Ricci-based gravities include, among others, General Relativity, f ( R ) and , μν theories EiBI model, prove on-shell vector associated can be identified with torsion vector, thus recovering generalizing invariant Riemann-Cartan already present literature.