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

In this article we study a family of four-dimensional,N= 2supergravity theo-ries that interpolates between all the single dilaton truncations of theSO(8)gaugedN= 8supergravity. In this infinitely many theories characterized by two real numbers — the in-terpolation parameter and the dyonic “angle” of the gauging — we construct non-extremalelectrically or magnetically charged black hole solutions and their supersymmetric limits.All the supersymmetric black holes have non-singular horizons with spherical, hyperbolicor planar topology. Some of these supersymmetric and non-extremal black holes are newexamples in theN= 8theory that do not belong to the STU model. We compute theasymptotic charges, thermodynamics and boundary conditions of these black holes andshow that all of them, except one, introduce a triple trace deformation in the dual theory.