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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.08778 |
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| _version_ | 1866914085672583168 |
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| author | Sarmiento, Lucas Fernández Rodríguez, Irvin Martínez |
| author_facet | Sarmiento, Lucas Fernández Rodríguez, Irvin Martínez |
| contents | 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 natural realization of dynamical vector torsion. Our construction organizes all operators systematically, clarifies the absence of Wess-Zumino terms in $d=4$, and recovers General Relativity in the infrared with controlled higher-derivative corrections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08778 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Broken Weyl Gravity: Dynamical Torsion and Generalized Proca Sarmiento, Lucas Fernández Rodríguez, Irvin Martínez High Energy Physics - Theory General Relativity and Quantum Cosmology 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 natural realization of dynamical vector torsion. Our construction organizes all operators systematically, clarifies the absence of Wess-Zumino terms in $d=4$, and recovers General Relativity in the infrared with controlled higher-derivative corrections. |
| title | Broken Weyl Gravity: Dynamical Torsion and Generalized Proca |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.08778 |