English

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 O(MPl)\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 natural realization of dynamical vector torsion. Our construction organizes all operators systematically, clarifies the absence of Wess-Zumino terms in d=4d=4, 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

R2 v1 2026-07-01T06:28:04.913Z