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Broken Weyl Gravity: Dynamical Torsion and Generalized Proca
Lucas Fern\'andez Sarmiento, Irvin Mart\'inez Rodr\'iguez
https://arxiv.org/abs/2510.08778 https://

Broken Weyl Gravity: Dynamical Torsion and Generalized Proca
We develop a symmetry-based construction of gravity from a phase in which Weyl invariance is spontaneously broken. Using the coset formalism, the dilaton acts as a Stuckelberg field for the gauged scale symmetry, giving the Weyl gauge field a mass of order $\mathcal{O}(M_{\rm Pl})$. The resulting gauge-gravity interactions fall within the ghost-free generalized Proca framework. We further show that the Weyl field can be exchanged for a propagating vector component of torsion, providing a natura…