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27
Black Holes in Higher Dimensions
 Living Rev. Rel
"... We review black hole solutions of higherdimensional vacuum gravity, and of higherdimensional supergravity theories. The discussion of vacuum gravity is pedagogical, with detailed reviews of MyersPerry solutions, black rings, and solutiongenerating techniques. We discuss black hole solutions of ma ..."
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We review black hole solutions of higherdimensional vacuum gravity, and of higherdimensional supergravity theories. The discussion of vacuum gravity is pedagogical, with detailed reviews of MyersPerry solutions, black rings, and solutiongenerating techniques. We discuss black hole solutions of maximal supergravity theories, including black holes in antide Sitter space. General results and open problems are discussed throughout.
Extremal black brane solutions in fivedimensional gauged supergravity,” arXiv:1211.0832 [hepth
 32
"... gauged supergravity ..."
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Asymptotic counting of BPS operators in superconformal field theories
, 2008
"... We consider some aspects of counting BPS operators which are annihilated by two supercharges, in superconformal field theories. For nonzero coupling, the corresponding multivariable partition functions can be written in terms of generating functions for vector partitions or their weighted generali ..."
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We consider some aspects of counting BPS operators which are annihilated by two supercharges, in superconformal field theories. For nonzero coupling, the corresponding multivariable partition functions can be written in terms of generating functions for vector partitions or their weighted generalisations. We derive asymptotics for the density of states for a wide class of such multivariable partition functions. We also point out a particular factorisation property of the finite N partition functions. Finally, we discuss the concept of a limit curve arising from the large N partition functions, which is related to the notion of a “typical state” and discuss some implications for the holographic duals.
WIS/05/08FEBDPP 5D Black Holes and Nonlinear Sigma Models
, 802
"... Abstract: 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 nonlinear sigma model. We generalize this procedure to 5D gauged supergravity, and identify the co ..."
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Abstract: 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 nonlinear 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 BreckenridgeMyersPeetVafa black hole, the GutowskiReall black hole and several other BPS solutions, and obtain the corresponding radial wave functions in the semiclassical approximation. Unité mixte de recherche du CNRS UMR 7589 Unité mixte de recherche du CNRS UMR 8549Contents
Null HalfSupersymmetric Solutions in
, 802
"... Abstract: We classify halfsupersymmetric solutions of gauged N = 2, D = 5 supergravity coupled to an arbitrary number of abelian vector multiplets for which all of the Killing spinors generate null Killing vectors. We show that there are four classes of solutions, and in each class we find the metr ..."
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Abstract: We classify halfsupersymmetric solutions of gauged N = 2, D = 5 supergravity coupled to an arbitrary number of abelian vector multiplets for which all of the Killing spinors generate null Killing vectors. We show that there are four classes of solutions, and in each class we find the metric, scalars and gauge field strengths. – 1 –
Attractors, black objects, and holographic RG flows in 5d maximal gauged supergravities
"... We perform a systematic search for static solutions in different sectors of 5d N = 8 supergravities with compact and noncompact gauged Rsymmetry groups, finding new and listing already known backgrounds. Due to the variety of possible gauge groups and resulting scalar potentials, the maximally sym ..."
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We perform a systematic search for static solutions in different sectors of 5d N = 8 supergravities with compact and noncompact gauged Rsymmetry groups, finding new and listing already known backgrounds. Due to the variety of possible gauge groups and resulting scalar potentials, the maximally symmetric vacua we encounter in these theories can be Minkowski, de Sitter, or antide Sitter. There exist BPS and nonBPS nearhorizon geometries and full solutions with all these three types of asymptotics, corresponding to black holes, branes, strings, rings, and other black objects with more exotic horizon topologies, supported by U(1) and SU(2) charges. The asymptotically AdS5 solutions also have a clear holographic interpretation as RG flows of field theories on D3 branes, wrapped on compact 2 and 3manifolds. ar
Black Rings in (Anti)deSitter space
, 806
"... We construct solutions for thin black rings in AntideSitter and deSitter spacetimes using approximate methods. Black rings in AdS exist with arbitrarily large radius and satisfy a bound J  ≤ LM, which they saturate as their radius becomes infinitely large. For angular momentum near the maximum, ..."
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We construct solutions for thin black rings in AntideSitter and deSitter spacetimes using approximate methods. Black rings in AdS exist with arbitrarily large radius and satisfy a bound J  ≤ LM, which they saturate as their radius becomes infinitely large. For angular momentum near the maximum, they have larger area than rotating AdS black holes. Thin black rings also exist in deSitter space, with rotation velocities varying between zero and a maximum, and with a radius that is always strictly below the Hubble radius. Our general analysis allows us to include black Saturns as well, which we discuss briefly. We present a simple physical argument why supersymmetric AdS black rings must not be expected: they do not possess the necessary pressure to balance the AdS potential. We discuss the possible existence or absence of ‘large AdS black rings ’ and their implications for a dual hydrodynamic description. An analysis of the physical properties of rotating AdS black holes is also included.