One thousand and one bubbles

We present a systematic study of the moduli space of asymptotically flat, supersymmetric and biaxisymmetric black hole solutions to five-dimensional minimal supergravity. 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.Recently, a complete classification of asymptotically flat, supersymmetric and biaxisymmetric black hole (and soliton) solutions to five-dimensional minimal supergravity has been derived [17]. This reveals a vast moduli space of spherical black holes, black rings and black lenses in spacetimes with noncontractible 2-cycles. This includes all the above examples, but also reveals infinitely many more black hole solutions for each horizon topology. Given this, one expects the above example of supersymmetric black hole non-uniqueness to be merely the tip of the iceberg. Indeed, several natural questions present themselves: Are there other black hole solutions with the same charges as the BMPV black hole? Do any of these have nonspherical horizon topology? Do any of these have greater entropy than the BMPV black hole?The purpose of this paper is to use the recent classification [17] to perform a systematic study of the moduli space of supersymmetric black holes of five-dimensional minimal supergravity. In particular, we wish to study in detail the moduli space of solutions with the same conserved charges as the BMPV black hole. Even given the explicit classification this is technically challenging and at present out of reach. This is essentially due to the fact the general solution depends on many parameters that are subject to polynomial equations and several inequalities, arising from smoothness and causality, which are difficult to disentangle. The classification shows that the solutions must have a Gibbons-Hawking base with 1 This has also been observed for multi-black rings and black holes [10,11] and asymptotically AdS black holes [12].

Section: )mentioning

confidence: 99%

Supersymmetric black hole non-uniqueness in five dimensions

Breunhölder

Lucietti

2019

“…Actually, this line of research was triggered by the study of non-Abelian black holes in theories of supergravity coupled to Yang-Mills fields[26][27][28][29][30].…”

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confidence: 99%

Exact charges from heterotic black holes

Faedo

Ramírez

2019

Self Cite

We derive exact relations to all orders in the α ′ expansion for the charges of a bound system of heterotic strings, solitonic 5-branes and, optionally, a Kaluza-Klein monopole. The expressions, which differ from those of the zeroth-order supergravity approximation, coincide with the values obtained when only the corrections of quadratic order in curvature are included. Our computation relies on the consistency of string theory as a quantum theory of gravity; the relations follow from the matching of the Wald entropy with the microscopic degeneracy. In the heterotic frame, the higher-curvature terms behave as delocalized sources that introduce a shift between near-horizon and asymptotic charges. On the other hand, when described in terms of lower-dimensional effective fields, the solution carries constant charges over space which coincide with those of the asymptotic heterotic fields. In addition, we describe why the Gauss-Bonnet term, which only captures a subset of the relevant corrections of quadratic order in curvature, in some cases succeeds to reproduce the correct value for the Wald entropy, while fails in others.

“…Checking the positivity of the quartic invariant is the hardest part. We have principally used the conjecture postulated in [21]. This conjecture drastically simplifies the loop computations.…”

Section: B2 Numerical Analysis Of Solutions With One Supertube and Tmentioning

confidence: 99%

The full space of BPS multicenter states with pure D-brane charges

Heidmann

Mondal

2019

We investigate the space of BPS states in type IIA string theory on a T 6 wrapped by one D6 brane and three D2 branes wrapping three disjoint 2tori. This system of branes has 12 ground states. We show that these 12 states are all recovered as Coulomb branch BPS multicenter bound states, in which each center preserves 16 supercharges. Moreover, we show that these multicenter solutions can only exist with zero angular momentum, supporting the conjecture that all black hole microstates have zero angular momentum. For large charges, they might describe "near-horizon limit" of fuzzballs.1 The Coulomb branch is not the same as the Coulomb branch obtained by moving the D2 and D6 branes away from each other. We are referring to the multicenter Coulomb branch where the separations between the centers cannot be modified freely.2 See [8] for an exhaustive description of the different regimes. 3 Some related investigation for Calabi Yau compactification has been performed in [9] 4 Which includes g s .