TY  - JOUR
AU  - Olmo, G. J.
AU  - Orazi, E.
AU  - Pradisi, G.
PY  - 2022
DA  - 2022//
TI  - Conformal metric-affine gravities
T2  - J. Cosmol. Astropart. Phys.
JO  - Journal of Cosmology and Astroparticle Physics
SP  - 057
EP  - 21pp
VL  - 10
IS  - 10
PB  - IOP Publishing Ltd
KW  - Gauss-Bonnet-Lovelock-Horndeski-Palatini etc gravity theories
KW  - modified gravity
AB  - 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 μnu R μnu) 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.
SN  - 1475-7516
UR  - https://arxiv.org/abs/2207.12597
UR  - https://doi.org/10.1088/1475-7516/2022/10/057
DO  - 10.1088/1475-7516/2022/10/057
LA  - English
N1  - WOS:000878259300018
ID  - Olmo_etal2022
ER  -