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 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.

Highlights

  • Anti-de Sitter (AdS) black hole solutions have received great attention in the last decades, due to the role they play in the phenomenology of the AdS/CFT conjecture [1]

  • The study of thermodynamic properties of AdS black holes began with the seminal paper [2], where a first order phase transition from thermal AdS space to a black hole phase was shown to exist

  • From the BPS conditions (3.81) we find that the physical charges and electric potentials for the supersymmetric black hole solutions are q1bps

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Summary

Introduction

Anti-de Sitter (AdS) black hole solutions have received great attention in the last decades, due to the role they play in the phenomenology of the AdS/CFT conjecture [1]. In the following we will analyse a consistent dilaton truncation of a class of N = 2 supergravities Within this model, we shall describe families of hairy black hole solutions, regular on and outside the horizon, with dyonic FI terms. We shall describe families of hairy black hole solutions, regular on and outside the horizon, with dyonic FI terms These families are related by a symmetry transformation acting non-trivially on the FI parameters of the model, providing a noteworthy solution generating technique in asymptotically AdS spacetimes.

The model
Redefinitions
Hairy black hole solutions
Family 1 — electric solutions
Duality relation between the two families of solutions
Supersymmetric solutions
Family 1
Family 2
Uncharged case
Charged case
Conclusions
Duff-Liu
L2 cosh
Cacciatori-Klemm
Special geometry
Effective action
C Supersymmetry relations
Full Text
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