Non-supersymmetric Attractors in Symmetric Coset Spaces

Li, Wei

doi:10.1007/978-3-642-10736-8_6

Cited by 3 publications

(4 citation statements)

References 32 publications

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“…Later on Ref. [18] (see also [19]) demonstrated that the general nilpotent charge matrices (of a specific degree) classify all the extreme black holes that posses attractor behaviour. In the beginning of Section 5.3 we repeated this argument which for instance shows that in D = 4 a non-vanishing horizon implies the nilpotency condition Q 5 = 0.…”

Section: Nilpotency Of Q For Attractor Black Holesmentioning

confidence: 99%

“…For that we reduce the four-dimensional black hole solutions, via a timelike reduction, to three dimensions, where they become instantons [4,15]. This procedure has been used earlier to better understand black hole solutions with symmetric scalar cosets [4,[16][17][18][19][20][21][22]. It is of interest to consider the class of black holes that satisfy the attractor mechanism [16,[23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

“…In [17] a factorization property of the corresponding charge matrix has been introduced to characterize extreme BPS black holes. This property has been exploited in [18,19], and it is given a simple group-theoretical interpretation. We show in this paper that this property can be generalized in the N = 2 models to distinguish between two kinds of extreme non-BPS solutions: those with vanishing central charge at the horizon from the others.…”

Section: Introductionmentioning

confidence: 99%

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Generating geodesic flows and supergravity solutions

et al. 2009

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Generating geodesic flows and supergravity solutionsBergshoeff, E.; Chemissany, W.; Ploegh, A.; Trigiante, M.; Van Riet, T. Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. AbstractWe consider the geodesic motion on the symmetric moduli spaces that arise after timelike and spacelike reductions of supergravity theories. The geodesics correspond to timelike respectively spacelike p-brane solutions when they are lifted over a p-dimensional flat space. In particular, we consider the problem of constructing the minimal generating solution: A geodesic with the minimal number of free parameters such that all other geodesics are generated through isometries. We give an intrinsic characterization of this solution in a wide class of orbits for various supergravities in different dimensions. We apply our method to three cases: (i) Einstein vacuum solutions, (ii) extreme and non-extreme D = 4 black holes in N = 8 supergravity and their relation to N = 2 STU black holes and (iii) Euclidean wormholes in D 3. In case (iii) we present an easy and general criterium for the existence of regular wormholes for a given scalar coset.

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Section: Nilpotency Of Q For Attractor Black Holesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Generating geodesic flows and supergravity solutions

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“…Preliminary results of this work was reported by Li[93] in this school after these lectures were delivered.…”

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confidence: 81%

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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Extremal Black Holes and Attractors

Ferrara¹,

Hayakawa²,

Marrani³

2009

Search for the “Totally Unexpected” in the LHC Era

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These lectures give an elementary introduction to the subject of four dimensional black holes (BHs) in supergravity and the Attractor Mechanism in the extremal case. Some thermodynamical properties are discussed and some relevant formul re for the critical points of the BH effective potential are given . The case of Maxwell-Einsteinaxion-dilaton (super)gravity is discussed in detail.Analogies among BH entropy and multipartite entanglement of qubits in quantum information theory, as well moduli spaces of extremal BH attractors, are also discussed.

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Non-supersymmetric Attractors in Symmetric Coset Spaces

Cited by 3 publications

References 32 publications

Generating geodesic flows and supergravity solutions

Generating geodesic flows and supergravity solutions

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

Extremal Black Holes and Attractors

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