Abstract
Supersymmetric black holes in AdS spacetime are inherently interesting for the AdS/CFT correspondence. Within a four dimensional gauged supergravity theory coupled to vector multiplets, the only analytic solutions for regular, supersymmetric, static black holes in AdS4 are those in the STU-model due to Cacciatori and Klemm. We study a class of U (1)-gauged supergravity theories coupled to vector multiplets which have a cubic prepotential, the scalar manifold is then a very special Kähler manifold. When the resulting very special Kähler manifold is a homogeneous space, we find analytic solutions for static, supersymmetric AdS4 black holes with vanishing axions. The horizon geometries of our solutions are constant curvature Riemann surfaces of arbitrary genus.
Highlights
It is called very special Kahler geometry and this is focus of our work
Within a four dimensional gauged supergravity theory coupled to vector multiplets, the only analytic solutions for regular, supersymmetric, static black holes in AdS4 are those in the STU-model due to Cacciatori and Klemm
We study a class of U (1)-gauged supergravity theories coupled to vector multiplets which have a cubic prepotential, the scalar manifold is a very special Kahler manifold
Summary
We solve the BPS equations (2.9) and (2.10) for AdS4 geometries (2.17). We look for a supersymmetric vacuum AdS4 with constant scalars in absence of gauge fields, so the constraint (2.16) does not have to be imposed. The equations for the vacuum identify the subspace of gauging parameters which support black hole solutions with vanishing axions
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