Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915014936363008 |
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| author | Corral, Cristóbal Olea, Rodrigo |
| author_facet | Corral, Cristóbal Olea, Rodrigo |
| contents | We study the (anti-)self-duality conditions under which the electric and magnetic parts of the conserved charges of the dyonic Kerr-Newman-NUT-AdS solution become equivalent. Within a holographic framework, the stress tensor and the boundary Cotton tensor are computed from the electric/magnetic content of the Weyl tensor. The holographic stress tensor/Cotton tensor duality is recovered along the (anti-)self-dual curve in parameter space. We show that the latter not only implies a duality relation for the mass but also for the angular momentum. The partition function is computed to first order in the saddle-point approximation and a BPS bound is obtained. The ground state of the theory is enlarged to all the (anti-)self-dual configurations when the $SO(4)$ and $U(1)$ Pontryagin densities are introduced. We demonstrate this at the level of the action and variations thereof. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_03901 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes Corral, Cristóbal Olea, Rodrigo High Energy Physics - Theory General Relativity and Quantum Cosmology We study the (anti-)self-duality conditions under which the electric and magnetic parts of the conserved charges of the dyonic Kerr-Newman-NUT-AdS solution become equivalent. Within a holographic framework, the stress tensor and the boundary Cotton tensor are computed from the electric/magnetic content of the Weyl tensor. The holographic stress tensor/Cotton tensor duality is recovered along the (anti-)self-dual curve in parameter space. We show that the latter not only implies a duality relation for the mass but also for the angular momentum. The partition function is computed to first order in the saddle-point approximation and a BPS bound is obtained. The ground state of the theory is enlarged to all the (anti-)self-dual configurations when the $SO(4)$ and $U(1)$ Pontryagin densities are introduced. We demonstrate this at the level of the action and variations thereof. |
| title | Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2408.03901 |