Moduli Space of Supersymmetric Solitons and Black Holes in Five Dimensions

@article{Breunhlder2017ModuliSO,
  title={Moduli Space of Supersymmetric Solitons and Black Holes in Five Dimensions},
  author={Veronika Breunh{\"o}lder and James Lucietti},
  journal={Communications in Mathematical Physics},
  year={2017},
  volume={365},
  pages={471-513}
}
We determine all asymptotically flat, supersymmetric and biaxisymmetric soliton and black hole solutions to five-dimensional minimal supergravity. In particular, we show that the solution must be a multi-centred solution with a Gibbons–Hawking base. The proof involves combining local constraints from supersymmetry with global constraints for stationary and biaxisymmetric spacetimes. This reveals that the horizon topology must be one of S3, $${{S}^{1}\times {S}^{2}}$$S1×S2 or a lens space L(p, 1… Expand

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