Conformal and projective tractors from 2-frame bundles by the dressing field method
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866913438177951744 |
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| author | Lazzarini, Serge Marsot, Loïc |
| author_facet | Lazzarini, Serge Marsot, Loïc |
| contents | This paper is devoted to the study of conformal and projective structures, and especially their connections, in the language of 2-frames, or $G$-structures of 2nd-order. While their normal Cartan connections are well-known, we use the dressing field method to obtain their local, mostly gauge invariant, connections. Lastly, we recall how to obtain the tractor bundle from conformal structures, and then show that we can define a projective tractor bundle using the same kind of construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_03445 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Conformal and projective tractors from 2-frame bundles by the dressing field method Lazzarini, Serge Marsot, Loïc Mathematical Physics General Relativity and Quantum Cosmology Differential Geometry This paper is devoted to the study of conformal and projective structures, and especially their connections, in the language of 2-frames, or $G$-structures of 2nd-order. While their normal Cartan connections are well-known, we use the dressing field method to obtain their local, mostly gauge invariant, connections. Lastly, we recall how to obtain the tractor bundle from conformal structures, and then show that we can define a projective tractor bundle using the same kind of construction. |
| title | Conformal and projective tractors from 2-frame bundles by the dressing field method |
| topic | Mathematical Physics General Relativity and Quantum Cosmology Differential Geometry |
| url | https://arxiv.org/abs/2108.03445 |