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.
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Gnecchi, A., Halmagyi, N. Supersymmetric black holes in AdS4 from very special geometry. J. High Energ. Phys. 2014, 173 (2014). https://doi.org/10.1007/JHEP04(2014)173
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DOI: https://doi.org/10.1007/JHEP04(2014)173