All timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets

Understand

The timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to an arbitrary number of abelian vector multiplets are classified using spinorial geometry techniques.

• We show that the generalized holonomy group for vacua preserving N supersymmetries is GL((8-N)/2,C) $\ltimes$ N/2 C^((8-N)/2) $\subseteq$ GL(8,R), where N=0,2,4,6,8.
• The spacetime turns out to be a fibration over a three-dimensional base manifold with U(1) holonomy and nontrivial torsion.
• Our results can be used to construct new supersymmetric AdS black holes with nontrivial scalar fields turned on.