2006/06/30 by Mechthild Huebscher, Mechthild Hübscher, Patrick Meessen +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2006.10.004
published as Nucl.Phys.B759:228-248,2006 · 27 pages, latex2e
arxiv created 2006/06/30 · openalex publication_date 2006/10/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.