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Moduli space of supersymmetric solitons and black holes in five dimensions

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https://arxiv.org/abs/1712.07092
Original languageEnglish
Pages (from-to)471-513
JournalCommunications in Mathematical Physics
Volume365
Issue number2
Early online date1 Aug 2018
DOIs
Publication statusPublished - Jan 2019

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.

    Research areas

  • hep-th, gr-qc

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