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

TL;DR

This paper constructs and analyzes a new family of non-extremal and BPS black hole solutions in four-dimensional gauged supergravity theories, revealing novel features and dual boundary deformations.

Contribution

It introduces a continuous interpolation between supergravity truncations and finds new black hole solutions, including supersymmetric and non-extremal cases, not previously known in the $ ext{N}=8$ theory.

Findings

New supersymmetric black holes with non-singular horizons

Existence of non-extremal charged black holes with various topologies

Most solutions induce triple trace deformations in the dual theory

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.