All Supersymmetric Solutions of N=2, D=4 Gauged Supergravity
Abstract
We classify all supersymmetric solutions of minimal gauged supergravity in four dimensions. There are two classes of solutions that are distinguished by the norm of the Killing vector constructed from the Killing spinor. If the Killing vector is timelike, the solutions are determined by the geometry of a two-dimensional base-manifold. When it is lightlike, the most general BPS solution is given by an electrovac AdS travelling wave. This supersymmetric configuration was previously unknown. Generically the solutions preserve one quarter of the supersymmetry. Also in the timelike case we show that there exist new BPS solutions, which are of Petrov type I, and are thus more general than the previously known type D configurations. These geometries can be uplifted to obtain new solutions of eleven-dimensional supergravity.
Keywords
Cite
@article{arxiv.hep-th/0307022,
title = {All Supersymmetric Solutions of N=2, D=4 Gauged Supergravity},
author = {Marco M. Caldarelli and Dietmar Klemm},
journal= {arXiv preprint arXiv:hep-th/0307022},
year = {2009}
}
Comments
29 pages, LaTeX, v2: discussion of maximally supersymmetric solutions and references added, v3: published version