Exact solutions for supersymmetric stationary black hole composites

Bates, Brandon; Denef, Frederik

doi:10.1007/jhep11(2011)127

Cited by 196 publications

(422 citation statements)

References 18 publications

(33 reference statements)

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“…Our procedure, which generalizes the one exploited for the simpler t 3 model in [25], sets the non-supersymmetric (composite non-BPS [1] and almost BPS [1,3]) classes of multi-centered solutions on the same footing of the well known BPS class [16,17], thus allowing for a unified framework for the study of the flow dynamics of scalar fields.…”

Section: Resultsmentioning

confidence: 99%

“…The consistency of the systems of partial differential equations on which the first order formalism is based has then been checked also by retrieving known solutions, in the single-centered limit (such as the Rasheed-Larsen non-BPS Kaluza-Klein BH [37,38] in the composite non-BPS class) as well as in the multi-centered case (various solutions from [1,2,17] have been obtained as particular solutions).…”

Section: Jhep05(2013)127mentioning

confidence: 99%

“…Motivated by the issue of matching the true BPS spectrum and the spectrum of spherically symmetric BHs in supergravity, in [16] a supersymmetric class of multi-centered BHs was introduced, whose BPS first order flow equations were then solved and analyzed in [17], revealing interesting features, such as fixed distance among the centers (in presence of mutually non-local electric-magnetic charge vectors).…”

Section: Introductionmentioning

confidence: 99%

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Multi-centered first order formalism

Ferrara

Marrani

Shcherbakov

et al. 2013

J. High Energ. Phys.

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We propose a first order formalism for multi-centered black holes with flat three-dimensional base-space, within the stu model of N = 2, D = 4 ungauged MaxwellEinstein supergravity. This provides a unified description of first order flows of this universal sector of all models with a symmetric scalar manifold which can be obtained by dimensional reduction from five dimensions.We develop a D = 3 Cartesian formalism which suitably extends the definition of central and matter charges, as well as of black hole effective potential and first order "fake" superpotential, in order to deal with not necessarily axisimmetric solutions, and thus with multi-centered and/or (under-)rotating extremal black holes.We derive general first order flow equations for composite non-BPS and almost BPS classes, and we analyze some of their solutions, retrieving various single-centered (static or under-rotating) and multi-centered known systems.As in the t 3 model, the almost BPS class turns out to split into two general branches, and the well known almost BPS system is shown to be a particular solution of the second branch.

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Section: Resultsmentioning

confidence: 99%

Section: Jhep05(2013)127mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multi-centered first order formalism

Ferrara

Marrani

Shcherbakov

et al. 2013

J. High Energ. Phys.

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“…The only known way to do this is to consider specific multi-center solutions in which one can tune the fluxes in order to make the distance between the centers arbitrarily small [12,61]. One refers to these solutions as scaling solutions [62]. Such microstate geometries play an important role in the fuzzball proposal, as they naturally admit an arbitrary long throat, and have been argued [12] to be dual to typical states of the D1-D5 orbifold CFT [63].…”

Section: Jhep02(2016)073mentioning

confidence: 99%

Non-BPS multi-bubble microstate geometries

Bena

Bossard

Katmadas

et al. 2016

J. High Energ. Phys.

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Abstract:We construct the first smooth horizonless supergravity solutions that have two topologically-nontrivial three-cycles supported by flux, and that have the same mass and charges as a non-extremal D1-D5-P black hole. Our configurations are solutions to sixdimensional ungauged supergravity coupled to a tensor multiplet, and uplift to solutions of Type IIB supergravity. The solutions represent multi-center generalizations of the non-BPS solutions of Jejjala, Madden, Ross, and Titchener, which have over-rotating angular momenta. By adding an additional Gibbons-Hawking center, we succeed in lowering one of the two angular momenta below the cosmic censorship bound, and bringing the other very close to this bound. Our results demonstrate that it is possible to construct multi-center horizonless solutions corresponding to non-extremal black holes, and offer the prospect of ultimately establishing that finite-temperature black holes have nontrivial structure at the horizon.

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“…For this we need a description of the BPS phase space of multi-centered black holes (or dyons). The most general stationary, n-centered BPS solution of N = 2 SUGRA with total charge γ = α 1 + · · · + α n is [29,31] …”

Section: The Quantum Mechanics Of Multi-centered Black Holesmentioning

confidence: 99%

Wall-crossing, Black holes, and Quivers

Pioline¹

2013

Proceedings of Proceedings of the Corfu Summer Institute 2012 — PoS(Corfu2012)

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The BPS state spectrum in four-dimensional gauge theories or string vacua with N = 2 supersymmetries is well known to depend on the values of the parameters or moduli at spatial infinity. The BPS index is locally constant, but discontinuous across real codimension-one walls where some of the BPS states decay. By postulating that BPS states are bound states of more elementary constituents carrying their own degrees of freedom and interacting via supersymmetric quantum mechanics, we provide a physically transparent derivation of the universal wall-crossing formula which governs the jump of the index. The same physical picture suggests that at any point in moduli space, the total index can be written as a sum of contributions from all possible bound states of elementary, absolutely stable constituents with the same total charge. For D-brane bound states described by quivers, this 'Coulomb branch formula' predicts that the cohomology of quiver moduli spaces is uniquely determined by certain 'pure-Higgs' invariants, which are the microscopic analogues of single-centered black holes. These lectures are based on joint work with J. Manschot and A. Sen.

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Exact solutions for supersymmetric stationary black hole composites

Cited by 196 publications

References 18 publications

Multi-centered first order formalism

Multi-centered first order formalism

Non-BPS multi-bubble microstate geometries

Wall-crossing, Black holes, and Quivers

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