Non-supersymmetric attractor flow in symmetric spaces

Gaiotto, Davide; Li, Wei; Padi, Megha

doi:10.1088/1126-6708/2007/12/093

Cited by 96 publications

(194 citation statements)

References 33 publications

(50 reference statements)

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“…The same sigma model (up to analytic continuation) has appeared in the study of 4D black holes [20], and is in fact related to the present one by a flip of the t and ψ directions, corresponding to a Weyl reflection in a Sl(2) subgroup of G 3 . The quaternionic geometry of G 2(2) / SO(4) was studied in great detail in [21], whose notations we follow.…”

Section: Jhep05(2008)045mentioning

confidence: 52%

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5D black holes and non-linear sigma models

Berkooz

Pioline

2008

J. High Energy Phys.

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Stationary solutions of 5D supergravity with U(1) isometry can be efficiently studied by dimensional reduction to three dimensions, where they reduce to solutions to a locally supersymmetric non-linear sigma model. We generalize this procedure to 5D gauged supergravity, and identify the corresponding gauging in 3D. We pay particular attention to the case where the Killing spinor is non constant along the fibration, which results, even for ungauged supergravity in 5D, in an additional gauging in 3D, without introducing any extra potential. We further study SU(2) × U(1) symmetric solutions, which correspond to geodesic motion on the sigma model (with potential in the gauged case). We identify and study the algebra of BPS constraints relevant for the Breckenridge-Myers-Peet-Vafa black hole, the Gutowski-Reall black hole and several other BPS solutions, and obtain the corresponding radial wave functions in the semi-classical approximation.

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Section: Jhep05(2008)045mentioning

confidence: 52%

“…16) 20) Note that this transformation maps the reality conditions (2.21) appropriate to 5D black holes, to the conditions to (2.22) appropriate to 4D black holes. As we shall see on an example in the next section, it implements the 4D/5D lift found in [4].…”

Section: Jhep05(2008)045mentioning

confidence: 99%

5D black holes and non-linear sigma models

Berkooz

Pioline

2008

J. High Energy Phys.

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“…The simplest generalisation is the class of extremal black holes, which are still characterised by a vanishing Hawking temperature, but do not preserve any supersymmetry. The corresponding static solutions are known to be described by first order equations as well [10][11][12][13][14][15][16][17][18][19][20][21], although the latter are then not a direct consequence of supersymmetry.…”

Section: Introduction and Overviewmentioning

confidence: 99%

“…Spherically symmetric black hole solutions correspond to geodesics on this symmetric space and, in particular, extremal static black holes correspond to the subclass of null geodesics. It was shown in [14,[38][39][40][41] that null geodesics associated to extremal black holes are classified by the nilpotent orbits in which the corresponding Noether charges lie in, thus recasting the equations of motion to an eigenvalue equation for the momentum of the coset scalars. The classification of extremal solutions in terms of nilpotent orbits has been studied in details in [17,20,42,43].…”

Section: Introduction and Overviewmentioning

confidence: 99%

Duality covariant non-BPS first order systems

Bossard

Katmadas

2012

J. High Energ. Phys.

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We study extremal black hole solutions to four dimensional N = 2 supergravity based on a cubic symmetric scalar manifold. Using the coset construction available for these models, we define the first order flow equations implied by the corresponding nilpotency conditions on the three-dimensional scalar momenta for the composite non-BPS class of multi-centre black holes. As an application, we directly solve these equations for the single-centre subclass, and write the general solution in a manifestly duality covariant form. This includes all single-centre under-rotating non-BPS solutions, as well as their non-interacting multi-centre generalisations.

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“…Multi-centered extremal black hole (BH) solutions in four-dimensional supergravity theories have been widely investigated in recent years [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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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Non-supersymmetric attractor flow in symmetric spaces

Cited by 96 publications

References 33 publications

5D black holes and non-linear sigma models

5D black holes and non-linear sigma models

Duality covariant non-BPS first order systems

Multi-centered first order formalism

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