Abstract

We present a N=2 supergravity model that interpolates between all the single dilaton truncations of the gauged SO(8), N=8 supergravity. We provide new explicit non-extremal charged black hole solutions and their supersymmetric limits, exploiting the non-trivial transformation of the Fayet–Iliopoulos parameters under electromagnetic duality to connect the electric and the magnetic configurations. We also provide the asymptotic charges, thermodynamics and boundary conditions of these black hole configurations. We then construct a new supersymmetric truncation of the maximal supergravity, with this new sector featuring non-extremal and supersymmetric black holes.

Highlights

  • Of particular interest are black hole solutions preserving a certain amount of supersymmetry, since they allow mapping of a weak coupling description of the system thermodynamics to the strong-coupling regime, where a formulation in terms of a black hole configuration is valid [7]

  • The two families of solutions are related by a non-perturbative electric–magnetic duality symmetry

  • The latter is a global symmetry of the ungauged theory and is extended to the gauged one if the constant tensor θ M is made to transform under it as well

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Summary

Introduction

Of particular interest are black hole solutions preserving a certain amount of supersymmetry, since they allow mapping of a weak (string) coupling description of the system thermodynamics to the strong-coupling regime, where a formulation in terms of a black hole configuration is valid [7]. These solutions can be exploited to study the BPS attractor flows in AdS spacetime [8,9,10,11,12,13,14,15,16,17,18,19,20,21].

Results
The Model
Redefinitions
Family 1—Electric Solutions
Family 2—Magnetic Solutions
Duality Relation between the Two Families of Solutions
Supersymmetric Solutions
Family 1
Family 2
Uncharged Case
Charged Case
A I J μ of the form

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