Broken Weyl Gravity: Dynamical Torsion and Generalized Proca
High Energy Physics - Theory
2025-10-13 v1 General Relativity and Quantum Cosmology
Abstract
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 . 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 natural realization of dynamical vector torsion. Our construction organizes all operators systematically, clarifies the absence of Wess-Zumino terms in , and recovers General Relativity in the infrared with controlled higher-derivative corrections.
Keywords
Cite
@article{arxiv.2510.08778,
title = {Broken Weyl Gravity: Dynamical Torsion and Generalized Proca},
author = {Lucas Fernández Sarmiento and Irvin Martínez Rodríguez},
journal= {arXiv preprint arXiv:2510.08778},
year = {2025}
}
Comments
34 pages, 1 figure