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arXiv · 1712.07092

Moduli space of supersymmetric solitons and black holes in five dimensions

Veronika Breunholder·James Lucietti
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Abstract

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 S^3, S^1 x S^2 or a lens space L(p,1), thereby providing a refinement of the allowed horizon topologies. We construct the general smooth solution for each possible rod structure. We find a large moduli space of black hole spacetimes with noncontractible 2-cycles for each of the allowed horizon topologies. In the absence of a black hole we obtain a classification of the known `bubbling' soliton spacetimes.

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Veronika Breunholder, James Lucietti. 2017-12-19. Moduli space of supersymmetric solitons and black holes in five dimensions. https://doi.org/10.1007/s00220-018-3215-8

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