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arXiv · 2408.03901

Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes

Cristóbal Corral·Rodrigo Olea
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Abstract

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.

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Cristóbal Corral, Rodrigo Olea. 2024-08-07. Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes. https://doi.org/10.1103/physrevd.110.104021

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