@Article{Olmo_etal2022, author="Olmo, G. J. and Orazi, E. and Pradisi, G.", title="Conformal metric-affine gravities", journal="Journal of Cosmology and Astroparticle Physics", year="2022", publisher="IOP Publishing Ltd", volume="10", number="10", pages="057--21pp", optkeywords="Gauss-Bonnet-Lovelock-Horndeski-Palatini etc gravity theories; modified gravity", abstract="We revisit the gauge symmetry related to integrable projective transformations in metric-affine formalism, identifying the gauge field of the Weyl (conformal) symmetry as a dynamical component of the affine connection. In particular, we show how to include the local scaling symmetry as a gauge symmetry of a large class of geometric gravity theories, introducing a compensator dilaton field that naturally gives rise to a Stuckelberg sector where a spontaneous breaking mechanism of the conformal symmetry is at work to generate a mass scale for the gauge field. For Ricci-based gravities that include, among others, General Relativity, f(R) and f(R, R $\mu$nu R $\mu$nu) theories and the EiBI model, we prove that the on-shell gauge vector associated to the scaling symmetry can be identified with the torsion vector, thus recovering and generalizing conformal invariant theories in the Riemann-Cartan formalism, already present in the literature.", optnote="WOS:000878259300018", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5405), last updated on Sun, 20 Nov 2022 18:00:53 +0000", issn="1475-7516", doi="10.1088/1475-7516/2022/10/057", opturl="https://arxiv.org/abs/2207.12597", opturl="https://doi.org/10.1088/1475-7516/2022/10/057", language="English" }