A brief review is given of the use of duality symmetries to form orbits of Super gravity black-hole solutions and their relation to extremal (i.e. BPS) solutions at the limits of such orbits. An important technique in this analysis uses a timelike dimensional reduction and exchanges the stationary black-hole problem for a nonlinear sigma-model problem. Families of BPS solutions are characterized by nilpotent orbits under the duality symmetries, based upon a tri-graded or penta-graded decomposition of the corresponding duality group algebra.
CITATION STYLE
Stelle, K. S. (2016). Black holes in supergravity. In Springer Proceedings in Physics (Vol. 170, pp. 207–216). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-319-20046-0_24
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