Conformally covariant operators of mixed-symmetry tensors and MAGs
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909081724256256 |
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| author | Paci, Gregorio Sauro, Dario Zanusso, Omar |
| author_facet | Paci, Gregorio Sauro, Dario Zanusso, Omar |
| contents | We compute conformally covariant actions and operators for tensors with mixed symmetries in arbitrary dimension $d$. Our results complete the classification of conformal actions that are quadratic on arbitrary tensors with three indices, which allows to write corresponding conformal actions for all tensor species that appear in the decomposition of the distorsion tensor of an arbitrary metric-affine theory of gravity including both torsion and nonmetricity. We also discuss the degrees of freedom that such theories are propagating, as well as interacting metric-affine theories that enjoy the conformal actions in the Gaussian limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_14093 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Conformally covariant operators of mixed-symmetry tensors and MAGs Paci, Gregorio Sauro, Dario Zanusso, Omar High Energy Physics - Theory General Relativity and Quantum Cosmology We compute conformally covariant actions and operators for tensors with mixed symmetries in arbitrary dimension $d$. Our results complete the classification of conformal actions that are quadratic on arbitrary tensors with three indices, which allows to write corresponding conformal actions for all tensor species that appear in the decomposition of the distorsion tensor of an arbitrary metric-affine theory of gravity including both torsion and nonmetricity. We also discuss the degrees of freedom that such theories are propagating, as well as interacting metric-affine theories that enjoy the conformal actions in the Gaussian limit. |
| title | Conformally covariant operators of mixed-symmetry tensors and MAGs |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2302.14093 |