New non-extremal and BPS hairy black holes in gauged $\mathcal{N}=2$ and $\mathcal{N}=8$ supergravity

Abstract

In this article we study a family of four-dimensional, $\mathcal{N}=2$ supergravity theories that interpolates between all the single dilaton truncations of the $\mathrm{SO}(8)$ gauged $\mathcal{N}=8$ supergravity. In this infinitely many theories characterized by two real numbers -- the interpolation parameter and the dyonic "angle" of the gauging -- we construct non-extremal electrically or magnetically charged black hole solutions and their supersymmetric limits. All the supersymmetric black holes have non-singular horizons with spherical, hyperbolic or planar topology. Some of these supersymmetric and non-extremal black holes are new examples in the $\mathcal{N}=8$ theory that do not belong to the STU model. We compute the asymptotic charges, thermodynamics and boundary conditions of these black holes and show that all of them, except one, introduce a triple trace deformation in the dual theory.

36 pages

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• Supersymmetric smooth distributions of M2-branes as AdS solitons
• Reentrant phase transitions in Einstein-Maxwell-scalar black holes
• Holographic supersymmetric Renyi entropies from hyperbolic black holes with scalar hair
• Instability of supersymmetric black holes via quantum phase transitions
• Holography of AdS Hairy Black Holes and Cardy-Verlinde Formula