Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-30
Nucl.Phys.B759:228-248,2006
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, latex2e
Scientific paper
10.1016/j.nuclphysb.2006.10.004
In this article we complete the classification of the supersymmetric solutions of N=2 D=4 ungauged supergravity coupled to an arbitrary number of vector- and hypermultiplets. We find that in the timelike case the hypermultiplets cause the constant-time hypersurfaces to be curved and have su(2) holonomy identical to that of the hyperscalar manifold. The solutions have the same structure as without hypermultiplets but now depend on functions which are harmonic in the curved 3-dimensional space. We discuss an example obtained from a hyper-less solution via the c-map. In the null case we find that the hyperscalars can only depend on the null coordinate and the solutions are essentially those of the hyper-less case.
Huebscher Mechthild
Meessen Patrick
Ortin Tomas
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