AdS Carroll Structures from Poincaré Isomorphism: Asymptotic Symmetry Analysis
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910611823132672 |
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| author | Avilés, Luis Gomis, Joaquim Hidalgo, Diego Valdivia, Omar |
| author_facet | Avilés, Luis Gomis, Joaquim Hidalgo, Diego Valdivia, Omar |
| contents | Starting from the isomorphism between the AdS Carroll and Poincaré algebras, we map the three-dimensional asymptotically flat solutions of Poincaré gravity into an AdS Carroll spacetime. We show the mapped solutions satisfy the field equations of the Chern-Simons formulation of AdS Carroll gravity and exhibit a Carroll geometry structure. Despite the presence of a negative cosmological constant in the mapped spacetime, the algebra of the canonical generators of the asymptotic symmetries is given by the $\mathfrak{bms}_3$ algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14457 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | AdS Carroll Structures from Poincaré Isomorphism: Asymptotic Symmetry Analysis Avilés, Luis Gomis, Joaquim Hidalgo, Diego Valdivia, Omar High Energy Physics - Theory Starting from the isomorphism between the AdS Carroll and Poincaré algebras, we map the three-dimensional asymptotically flat solutions of Poincaré gravity into an AdS Carroll spacetime. We show the mapped solutions satisfy the field equations of the Chern-Simons formulation of AdS Carroll gravity and exhibit a Carroll geometry structure. Despite the presence of a negative cosmological constant in the mapped spacetime, the algebra of the canonical generators of the asymptotic symmetries is given by the $\mathfrak{bms}_3$ algebra. |
| title | AdS Carroll Structures from Poincaré Isomorphism: Asymptotic Symmetry Analysis |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.14457 |