Corner Structure of Four-Dimensional General Relativity in the Coframe Formalism
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2022
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| _version_ | 1866929314291777536 |
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| author | Canepa, Giovanni Cattaneo, Alberto S. |
| author_facet | Canepa, Giovanni Cattaneo, Alberto S. |
| contents | This note describes a local Poisson structure (up to homotopy) associated to corners in four-dimensional gravity in the coframe (Palatini--Cartan) formalism. This is achieved through the use of the BFV formalism. The corner structure contains in particular an Atiyah algebroid that couples the internal symmetries to diffeomorphisms. The relation with $BF$ theory is also described. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_08684 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Corner Structure of Four-Dimensional General Relativity in the Coframe Formalism Canepa, Giovanni Cattaneo, Alberto S. Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Algebra Symplectic Geometry 83C47 (Primary), 17B99, 81T70, 83C05 This note describes a local Poisson structure (up to homotopy) associated to corners in four-dimensional gravity in the coframe (Palatini--Cartan) formalism. This is achieved through the use of the BFV formalism. The corner structure contains in particular an Atiyah algebroid that couples the internal symmetries to diffeomorphisms. The relation with $BF$ theory is also described. |
| title | Corner Structure of Four-Dimensional General Relativity in the Coframe Formalism |
| topic | Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Algebra Symplectic Geometry 83C47 (Primary), 17B99, 81T70, 83C05 |
| url | https://arxiv.org/abs/2202.08684 |