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Supersymmetric black hole non-uniqueness in five dimensions

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Original languageEnglish
Article number105
Number of pages27
Journal Journal of High Energy Physics
Publication statusPublished - 19 Mar 2019


We present a systematic study of the moduli space of asymptotically flat, su-
persymmetric and biaxisymmetric black hole solutions to five-dimensional minimal super- gravity. Previously, it has been shown that such solutions must be multi-centred solutions with a Gibbons–Hawking base. In this paper we perform a full analysis of three-centred solutions with a single black hole, for which there are seven regular black hole solutions. We find that four of
these can have the same conserved charges as the BMPV black hole. These consist of a black lens with L(3, 1) horizon topology and three distinct families of spherical black holes with nontrivial topology outside the horizon. The former provides the first example of a nonspherical black hole with the same conserved charges as the BMPV black hole. Moreover, of these four solutions, three can have a greater entropy than the BMPV black hole near the BMPV upper spin bound. One of these is a previously known spherical black hole with nontrivial topology and the other two are new examples of a spherical black hole with nontrivial topology and an L(3, 1) black lens.

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