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arXiv · 0804.0009

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

Sergio L. Cacciatori·Dietmar Klemm·Diego S. Mansi·Emanuele Zorzan
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Abstract

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.

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Sergio L. Cacciatori, Dietmar Klemm, Diego S. Mansi, Emanuele Zorzan. 2008-04-01. All timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets. https://doi.org/10.1088/1126-6708%2F2008%2F05%2F097

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