Erratum:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>G</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>generating technique for minimal<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn>5</mml:mn></mml:math>supergravity and black rings [Phys. Rev. D<b>76</b>, 104032 (2007)]

Bouchareb, Adel; Clément, Gérard; Chen, Chiang-Mei; Gal’tsov, D.V.; Scherbluk, Nikolai G.; Wolf, Thomas

doi:10.1103/physrevd.78.029901

Cited by 57 publications

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“…This and related problems have resisted various attempts to construct a variety of non-extremal black string and black ring solutions [16][17][18][19][20]. Reference [18] shed some light on this problem from a group theoretic perspective in the simplified setting of minimal five-dimensional supergravity.…”

Section: Jhep11(2010)133mentioning

confidence: 99%

“…See also [19,[26][27][28]. Using the reduction ansatz (2.16) we can calculate the mass and NUT charge explicitly in terms of the three-dimensional fields.…”

Section: Jhep11(2010)133mentioning

confidence: 99%

“…The three parameter extremal non-supersymmetric non-rotating black string of minimal supergravity with independent M2 3 − M5 3 − P charges [22] is most conveniently presented as 19) where…”

Section: Non-supersymmetric Non-rotating Limitmentioning

confidence: 99%

“…where the central charge c is c = 6n 3 , 19) n being the (equal) number of M5 branes along the cycles orthogonal to the canonical (12) (34) and (56) two cycles. See brane intersection table 2.…”

Section: Matching With the Cft Predictionmentioning

confidence: 99%

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A general black string and its microscopics

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Buyl

Stotyn

et al. 2010

J. High Energ. Phys.

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Using G 2(2) dualities we construct the most general black string solution of minimal five-dimensional ungauged supergravity. The black string has five independent parameters, namely, the magnetic one-brane charge, smeared electric zero-brane charge, boost along the string direction, energy above the BPS bound, and rotation in the transverse space. In one extremal limit it reduces to the three parameter supersymmetric string of five-dimensional minimal supergravity; in another extremal limit it reduces to the three parameter non-supersymmetric non-rotating extremal string of five-dimensional minimal supergravity. It also admits an extremal limit when it has maximal rotation in the fourdimensional transverse space. The decoupling limit of our general black string is a BTZ black hole times a two sphere. The macroscopic entropy of the string is reproduced by the Maldacena-Strominger-Witten CFT in appropriate ranges of the parameters. When the pressureless condition is imposed, our string describes the infinite radius limit of the most general class of black rings of minimal supergravity. We discuss implications our solution has for extremal and non-extremal black rings of minimal supergravity.

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Section: Jhep11(2010)133mentioning

confidence: 99%

“…See also [19,[26][27][28]. Using the reduction ansatz (2.16) we can calculate the mass and NUT charge explicitly in terms of the three-dimensional fields.…”

Section: Jhep11(2010)133mentioning

confidence: 99%

Section: Non-supersymmetric Non-rotating Limitmentioning

confidence: 99%

Section: Matching With the Cft Predictionmentioning

confidence: 99%

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A general black string and its microscopics

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Buyl

Stotyn

et al. 2010

J. High Energ. Phys.

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“…For explicitness, we focus for the most part on minimal supergravity in 5D, which leads to a non-linear sigma model on G 3 /K 3 = G 2(2) / SO(4) (see [16,17] for early discussions of this model, and [18,19] for an independent study of its application to 5D black holes in ungauged supergravity). 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 .…”

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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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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Lectures on Spectrum Generating Symmetries and U-Duality in Supergravity, Extremal Black Holes, Quantum Attractors and Harmonic Superspace

Günaydın

2010

Springer Proceedings in Physics

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We review the underlying algebraic structures of supergravity theories with symmetric scalar manifolds in five and four dimensions, orbits of their extremal black hole solutions and the spectrum generating extensions of their U-duality groups. For 5D, N = 2 Maxwell-Einstein supergravity theories (MESGT) defined by Euclidean Jordan algebras ,J, the spectrum generating symmetry groups are the conformal groups Conf (J) of J which are isomorphic to their U-duality groups in four dimensions. Similarly, the spectrum generating symmetry groups of 4D, N = 2 MESGTs are the quasiconformal groups QConf (J) associated with J that are isomorphic to their U-duality groups in three dimensions. We then review the work on spectrum generating symmetries of spherically symmetric stationary 4D BPS black holes, based on the equivalence of their attractor equations and the equations for geodesic motion of a fiducial particle on the target spaces of corresponding 3D supergravity theories obtained by timelike reduction. We also discuss the connection between harmonic superspace formulation of 4D , N = 2 sigma models coupled to supergravity and the minimal unitary representations of their isometry groups obtained by quantizing their quasiconformal realizations. We discuss the relevance of this connection to spectrum generating symmetries and conclude with a brief summary of more recent results. Table 2: Above we list the orbits of spherically symmetric stationary BPS black hole solutions in 5D MESGTs defined by Euclidean Jordan algebras J of degree three. U-duality and stability groups are given by the Lorentz ( reduced structure ) and rotation ( automorphism) groups of J.SO(9) R ⊕ Γ (1,n−1) SO(n − 1, 1) × SO(1, 1)/SO(n − 2, 1) SO(n − 2)M 5 = M 4 = M 3 = J Str 0 (J) / Aut (J) Conf (J) / Str (J) QConf(F(J))/ Conf (J) × SU (2)

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Erratum:G2generating technique for minimalD=5supergravity and black rings [Phys. Rev. D76, 104032 (2007)]

Cited by 57 publications

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A general black string and its microscopics

A general black string and its microscopics

5D black holes and non-linear sigma models

Lectures on Spectrum Generating Symmetries and U-Duality in Supergravity, Extremal Black Holes, Quantum Attractors and Harmonic Superspace

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