Gravity from AKSZ-Manin theories in two, three, and four dimensions
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915338534256640 |
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| author | Borsten, Leron Kanakaris, Dimitri Kim, Hyungrok |
| author_facet | Borsten, Leron Kanakaris, Dimitri Kim, Hyungrok |
| contents | We show that various dynamical gauge theories in two, three and four dimensions, obtained as Manin deformations of topological Alexandrov-Kontsevich-Schwarz-Zaboronsky (AKSZ) theories, are equivalent to gravitational theories. Since gravity is topological in two and three dimension, this equivalence requires a diffeomorphism breaking background source term. In four dimensions, however, the MacDowell-Mansouri formulation of Einstein gravity with a cosmological constant is obtained identically via the Manin deformation of a particular AKSZ theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10755 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gravity from AKSZ-Manin theories in two, three, and four dimensions Borsten, Leron Kanakaris, Dimitri Kim, Hyungrok High Energy Physics - Theory General Relativity and Quantum Cosmology 83C80 (Primary) 81T13, 81T20, 81T35, 83C55 (Secondary) We show that various dynamical gauge theories in two, three and four dimensions, obtained as Manin deformations of topological Alexandrov-Kontsevich-Schwarz-Zaboronsky (AKSZ) theories, are equivalent to gravitational theories. Since gravity is topological in two and three dimension, this equivalence requires a diffeomorphism breaking background source term. In four dimensions, however, the MacDowell-Mansouri formulation of Einstein gravity with a cosmological constant is obtained identically via the Manin deformation of a particular AKSZ theory. |
| title | Gravity from AKSZ-Manin theories in two, three, and four dimensions |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology 83C80 (Primary) 81T13, 81T20, 81T35, 83C55 (Secondary) |
| url | https://arxiv.org/abs/2410.10755 |