Abstract
We consider the stationary solutions of \({\mathcal{N} = 4}\) supergravity coupled to n vector multiplets that define linear superpositions of non-interacting extremal black holes. The most general solutions of this type are derived from the graded decompositions of \({\mathfrak{so}(8, 2 + n)}\) associated to its nilpotent orbits. We illustrate the formalism by giving explicitly asymptotically Minkowski non-BPS solutions of the most exotic class depending on 6 + n harmonic functions.
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I am grateful to Hermann Nicolai, Jakob Palmkvist, Boris Pioline and Kelly Stelle for discussions and comments.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Bossard, G. The extremal black holes of \({\mathcal{N} = 4}\) supergravity from \({\mathfrak{so}(8, 2 + n)}\) nilpotent orbits. Gen Relativ Gravit 42, 539–565 (2010). https://doi.org/10.1007/s10714-009-0871-1
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DOI: https://doi.org/10.1007/s10714-009-0871-1