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15
Rotating black holes in gauged supergravities: Thermodynamics, supersymmetric limits, topological solitons and time machines
, 2005
"... We study the thermodynamics of the recentlydiscovered nonextremal charged rotating black holes of gauged supergravities in five, seven and four dimensions, obtaining energies, angular momenta and charges that are consistent with the first law of thermodynamics. We obtain their supersymmetric limit ..."
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Cited by 39 (12 self)
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We study the thermodynamics of the recentlydiscovered nonextremal charged rotating black holes of gauged supergravities in five, seven and four dimensions, obtaining energies, angular momenta and charges that are consistent with the first law of thermodynamics. We obtain their supersymmetric limits by using these expressions together with an analysis of the AdS superalgebras including Rcharges. We give a general discussion of the global structure of such solutions, and apply it in the various cases. We obtain new regular supersymmetric black holes in seven and four dimensions, as well as reproducing known examples in five and four dimensions. We also obtain new supersymmetric nonsingular topological solitons in five and seven dimensions. The rest of the supersymmetric solutions either have naked singularities or naked time machines. The latter can be rendered nonsingular if the asymptotic time is periodic. This leads to a new type of quantum consistency condition, which we call a Josephson quantisation condition. Finally, we discuss some aspects of rotating black holes in Gödel universe backgrounds.
Spinning deformations of the D1D5 system and a geometric resolution of closed timelike curves
 Nucl. Phys. B
"... The SO(4) isometry of the extreme ReissnerNordstrom black hole of N = 1, D = 5 supergravity can be partly broken, without breaking any supersymmetry, in two different ways. The “right ” solution is a rotating black hole (BMPV); the “left ” is interpreted as a black hole in a Gödel universe (GBH). I ..."
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Cited by 37 (3 self)
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The SO(4) isometry of the extreme ReissnerNordstrom black hole of N = 1, D = 5 supergravity can be partly broken, without breaking any supersymmetry, in two different ways. The “right ” solution is a rotating black hole (BMPV); the “left ” is interpreted as a black hole in a Gödel universe (GBH). In ten dimensions, both spacetimes are described by deformations of the D1D5ppwave system with the property that the nontrivial Closed Timelike Curves (CTC’s) of the five dimensional manifold are absent in the universal covering space of the ten dimensional manifold. In the decoupling limit, the BMPV deformation is normalizable. It corresponds to the vev of an IR relevant operator of dimension ∆ = 1. The Gödel deformation is subleading in α ′ unless we take an infinite vorticity limit; in such case it is a nonnormalizable perturbation. It corresponds to the insertion of a vector operator of dimension ∆ = 5. Thus we conclude that from the dual (1+1)CFT viewpoint the SO(4) Rsymmetry is broken ‘spontaneously ’ in the BMPV case and explicitly in the Gödel case. 1
General (anti)de Sitter black holes in five dimensions,” JHEP 0102
, 2001
"... We find a general class of rotating charged black hole solutions to N = 2, D = 5 gauged supergravity coupled to vector supermultiplets. The supersymmetry properties of these solutions are studied, and their mass and angular momenta are obtained. We also compute the stress tensor of the dual D = 4, N ..."
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Cited by 21 (10 self)
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We find a general class of rotating charged black hole solutions to N = 2, D = 5 gauged supergravity coupled to vector supermultiplets. The supersymmetry properties of these solutions are studied, and their mass and angular momenta are obtained. We also compute the stress tensor of the dual D = 4, N = 4 super YangMills theory in the limit of strong ‘t Hooft coupling. It is shown that closed timelike curves occur outside the horizon, indicating loss of unitarity in the dual CFT. For imaginary coupling constant of the gravitini to the gauge fields, one can obtain multicentered rotating charged de Sitter black holes. Some physical properties of these solutions are also discussed.
Supersymmetric domain walls and strings in D = 5 gauged supergravity coupled to vector multiplets,” JHEP 0303
, 2003
"... We present new supersymmetric domain wall and string solutions of fivedimensional N = 2 gauged supergravity coupled to an arbitrary number of vector multiplets. Using the techniques of very special geometry allows to obtain the most general domain wall preserving half of the supersymmetries. This s ..."
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Cited by 16 (2 self)
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We present new supersymmetric domain wall and string solutions of fivedimensional N = 2 gauged supergravity coupled to an arbitrary number of vector multiplets. Using the techniques of very special geometry allows to obtain the most general domain wall preserving half of the supersymmetries. This solution, which describes a renormalization group flow in the dual field theory, is given in terms of Weierstrass elliptic functions. The magnetically charged, one quarter supersymmetric string solutions are shown to be closely related to Liouville theory. We furthermore investigate general product space compactifications, and show that topological transitions from AdS3 × S 2 to AdS3 × H 2 can occur when one moves in moduli space.
Integrability of some charged rotating supergravity black hole solutions in four and five dimensions
, 2005
"... We study the integrability of geodesic flow in the background of some recently discovered charged rotating solutions of supergravity in four and five dimensions. Specifically, we work with the gauged multicharge TaubNUTKerr(Anti) de Sitter metric in four dimensions, and the U(1) 3 gauged charged ..."
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Cited by 5 (2 self)
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We study the integrability of geodesic flow in the background of some recently discovered charged rotating solutions of supergravity in four and five dimensions. Specifically, we work with the gauged multicharge TaubNUTKerr(Anti) de Sitter metric in four dimensions, and the U(1) 3 gauged chargedKerr(Anti) de Sitter black hole solution of N = 2 supergravity in five dimensions. We explicitly construct the Killing tensors that permit separation of the HamiltonJacobi equation in these spacetimes. These results prove integrability for a large class of previously known supergravity solutions, including several BPS solitonic states. We also derive firstorder equations of motion for particles in these backgrounds and examine some of their properties. Finally, we also examine the KleinGordon equation for
Conformal mechanics on rotating BertottiRobinson spacetime
, 2001
"... We investigate conformal mechanics associated with the rotating BertottiRobinson (RBR) geometry found recently as the nearhorizon limit of the extremal rotating EinsteinMaxwelldilatonaxion black holes. The solution breaks the SL(2,R) × SO(3) symmetry of BertottiRobinson (BR) spacetime to SL(2, ..."
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Cited by 4 (0 self)
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We investigate conformal mechanics associated with the rotating BertottiRobinson (RBR) geometry found recently as the nearhorizon limit of the extremal rotating EinsteinMaxwelldilatonaxion black holes. The solution breaks the SL(2,R) × SO(3) symmetry of BertottiRobinson (BR) spacetime to SL(2,R) × U(1) and breaks the supersymmetry of N = 4,d = 4 supergravity as well. However, it shares with BR such properties as confinement of timelike geodesics and discreteness of the energy of test fields on the geodesically complete manifold. Conformal mechanics governing the radial geodesic motion coincides with that for a charged particle in the BR background (a relativistic version of the De AlfaroFubiniFurlan model), with the azimuthal momentum playing the role of a charge. Similarly to the BR case, the transition from Poincaré to global coordinates leads to a redefinition of the Hamiltonian making the energy spectrum discrete. Although the metric does not split into a product space even asymptotically, it still admits an infinitedimensional extension of SL(2,R) as asymptotic symmetry. The latter is shown to be given by the product of one copy of the Virasoro algebra and U(1), the same being valid for the extremal Kerr throat.
The Maldacena conjecture and Rehren duality
, 2001
"... We analyse the implications of the fact that there are two claims for a dual to N=4 superconformal SU(N) YangMills theory (SCYM), the Maldacena conjecture and the theorem of Rehren. While the Maldacena dual is conjectured to be a nonperturbative string theory for large string coupling gs and small ..."
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Cited by 2 (2 self)
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We analyse the implications of the fact that there are two claims for a dual to N=4 superconformal SU(N) YangMills theory (SCYM), the Maldacena conjecture and the theorem of Rehren. While the Maldacena dual is conjectured to be a nonperturbative string theory for large string coupling gs and small N, the Rehren dual is an ordinary quantum field theory on AdS5 for all values of the parameters. We argue that as a result, if we accept the Maldacena conjecture, one of the following statements must be true: 1) SCYM does not satisfy the axioms of algebraic quantum field theory for finite N because its observables do not obey the causal structure of conformal Minkowski space;. 2) String theory on AdS5 ×S 5 is not a quantum theory of gravity in 10 dimensions because it is dual to an ordinary quantum field theory on AdS5 whose causal structure remains fixed for all values of its couplings; or 3) there is no consistent quantisation of string theory on AdS5 × S 5 for finite string scale ls and gs. In evaluating the evidence for each of these conclusions we point out that many of the tests of the Maldacena conjecture can be explained by a weaker form of an AdS/CFT correspondence. 1
note on particles and scalar fields in higher dimensional NUTty spacetimes,” Phys
 Separability in cohomogeneity2 KerrNUTAdS metrics,” hepth/0602084
"... In this note, we study the integrability of geodesic flow in the background of a very general class of spacetimes with NUTcharge(s) in higher dimensions. This broad set encompasses multiply NUTcharged solutions, electrically and magnetically charged solutions, solutions with a cosmological constan ..."
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Cited by 2 (0 self)
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In this note, we study the integrability of geodesic flow in the background of a very general class of spacetimes with NUTcharge(s) in higher dimensions. This broad set encompasses multiply NUTcharged solutions, electrically and magnetically charged solutions, solutions with a cosmological constant, and time dependant bubblelike solutions. We also derive firstorder equations of motion for particles in these backgrounds. Separability turns out to be possible due to the existence of nontrivial irreducible Killing tensors. Finally, we also examine the KleinGordon equation for a scalar field in these spacetimes and demonstrate TaubNUT solutions arise in a very wide variety of situations in both string theory and general relativity. NUTcharged spacetimes, in general, are studied for their unusual properties which typically provide rather unique counterexamples to many notions in Einstein gravity. They are also widely studied in the context of issues of chronology protection in the
hepth/0307300 Charged configurations in (A)dS spaces
, 2003
"... We construct new backgrounds of ddimensional gravity with a negative cosmological constant coupled to a mform field strength. We find a class of magnetically charged antide Sitter black holes with mdimensional Einstein horizon of positive, zero or negative curvature. We also construct a new magne ..."
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Cited by 1 (0 self)
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We construct new backgrounds of ddimensional gravity with a negative cosmological constant coupled to a mform field strength. We find a class of magnetically charged antide Sitter black holes with mdimensional Einstein horizon of positive, zero or negative curvature. We also construct a new magnetic codimension four brane for the case of m = 3. This brane obeys a charge quantization condition of the form q ∼ L 2 where q is the magnetic 3form charge and L is the AdS radius. In addition, we work out some timedependent solutions.