Gravity model from (A)dS Yang-Mills theory
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918259870138368 |
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| author | Chirco, Goffredo Lamberti, Alfonso Vacchiano, Lucio Vitale, Patrizia |
| author_facet | Chirco, Goffredo Lamberti, Alfonso Vacchiano, Lucio Vitale, Patrizia |
| contents | We investigate the relationship between a one-parameter family of (anti-)de Sitter Yang-Mills models and a model of Einstein-Palatini gravity with matter, realized through Inönu-Wigner contraction of the (A)dS algebra. By setting the group parameter $α$ to zero, the gauge transformation of the potential becomes consistent with the transformation properties of the tetrad form and spin connection. We show that a sector of the Yang-Mills dynamics exists in which the equations decouple. Moreover, a subset of the gauge transformations can be related to diffeomorphisms, leading to the identification of the tetrad field. Finally, the resulting dynamics is consistent with a gravitational dynamics in the first-order formalism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17574 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gravity model from (A)dS Yang-Mills theory Chirco, Goffredo Lamberti, Alfonso Vacchiano, Lucio Vitale, Patrizia General Relativity and Quantum Cosmology High Energy Physics - Theory We investigate the relationship between a one-parameter family of (anti-)de Sitter Yang-Mills models and a model of Einstein-Palatini gravity with matter, realized through Inönu-Wigner contraction of the (A)dS algebra. By setting the group parameter $α$ to zero, the gauge transformation of the potential becomes consistent with the transformation properties of the tetrad form and spin connection. We show that a sector of the Yang-Mills dynamics exists in which the equations decouple. Moreover, a subset of the gauge transformations can be related to diffeomorphisms, leading to the identification of the tetrad field. Finally, the resulting dynamics is consistent with a gravitational dynamics in the first-order formalism. |
| title | Gravity model from (A)dS Yang-Mills theory |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.17574 |