At the horizon of a supersymmetric<i>AdS</i><sub>5</sub>black hole: Isometries and half-BPS giants

Sinha, Aninda; Sonner, Julian; Suryanarayana, Nemani V.

doi:10.1088/1126-6708/2007/01/087

Cited by 20 publications

(42 citation statements)

References 38 publications

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“…From the previous section we deduce that its near-horizon geometry in fact preserves 1/2 of the supersymmetries. We thus find that supersymmetry is enhanced in the near-horizon limit, as has been observed in five-dimensional gauged supergravities [32,33,47].…”

Section: Conserved Chargessupporting

confidence: 78%

Uniqueness of near-horizon geometries of rotating extremal AdS ₄ black holes

Kunduri¹,

Lucietti²

2009

Class. Quantum Grav.

105

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We consider stationary extremal black hole solutions of the Einstein-Maxwell equations with a negative cosmological constant in four dimensions. We determine all non-static axisymmetric near-horizon geometries (with non-toroidal horizon topology) and all static near-horizon geometries for black holes of this kind. This allows us to deduce that the most general near-horizon geometry of an asymptotically globally AdS 4 rotating extremal black hole is the near-horizon limit of extremal Kerr-Newman-AdS 4 . We also identify the subset of near-horizon geometries which are supersymmetric. Finally, we show which physical quantities of extremal black holes may be computed from the near-horizon limit alone, and point out a simple formula for the entropy of the known supersymmetric AdS 4 black hole. Analogous results are presented in the case of vanishing cosmological constant.6 This expression is (as it should be) invariant under residual gauge transformations, i.e. A → A + dλ such that Lmdλ = 0. To see this, note that the constraint on λ is equivalent to m · dλ being constant, and further this constant must be zero since m has fixed points on H = S 2 .7 It is worth noting that this expression is also valid for Einstein-Maxwell-Λ theory for D > 4. Also note that the same expression has been derived for rotating isolated horizons [45]. 8 In the special case of BPS black holes one can determine the mass (see below).

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Section: Conserved Chargessupporting

confidence: 78%

Uniqueness of near-horizon geometries of rotating extremal AdS ₄ black holes

Kunduri¹,

Lucietti²

2009

Class. Quantum Grav.

105

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“…It would be interesting to study the extension of the near horizon and decoupling limits discussed for non-extremal versions of large AdS black holes [53] having in mind the relevance of giant gravitons as degrees of freedom of their BPS counterparts [22,23] and the related appearance of conformal field theories with target spaces identified as the moduli spaces of supersymmetric giant gravitons [26].…”

Section: Jhep05(2008)067mentioning

confidence: 99%

Entropy of near-extremal black holes in AdS₅

Balasubramanian

Boer²,

Jejjala

et al. 2008

J. High Energy Phys.

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Abstract:We construct the microstates of near-extremal black holes in AdS 5 × S 5 as gases of defects distributed in heavy BPS operators in the dual SU(N ) Yang-Mills theory.These defects describe open strings on spherical D3-branes in the S 5 , and we show that they dominate the entropy by directly enumerating them and comparing the results with a partition sum calculation. We display new decoupling limits in which the field theory of the lightest open strings on the D-branes becomes dual to a near-horizon region of the black hole geometry. In the single-charge black hole we find evidence for an infrared duality between SU(N ) Yang-Mills theories that exchanges the rank of the gauge group with an R-charge. In the two-charge case (where pairs of branes intersect on a line), the decoupled geometry includes an AdS 3 factor with a two-dimensional CFT dual. The degeneracy in this CFT accounts for the black hole entropy. In the three-charge case (where triples of branes intersect at a point), the decoupled geometry contains an AdS 2 factor. Below a certain critical mass, the two-charge system displays solutions with naked timelike singularities even though they do not violate a BPS bound. We suggest a string theoretic resolution of these singularities.

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“…For the AdS 2 case it is known that there are more general supersymmetric metrics with SO(1,2) symmetry that arise as the near horizon limit of rotating black holes[13,14,15]. It would be interesting to extend our analysis further to include these examples.2 This is not a problem for the specific application of constructing explicit solutions.…”

mentioning

confidence: 99%

AdS spacetimes from wrapped M5 branes

Gauntlett¹,

Conamhna²,

Mateos³

et al. 2006

J. High Energy Phys.

246

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We derive a geometrical characterisation of a large class of AdS 3 and AdS 2 supersymmetric spacetimes in type IIB supergravity with non-vanishing five-form flux using G-structures. These are obtained as special cases of a class of supersymmetric spacetimes with an R 1,1 or R (time) factor that are associated with D3-branes wrapping calibrated 2-or 3-cycles, respectively, in manifolds with SU(2), SU(3), SU (4) and G 2 holonomy. We show how two explicit AdS solutions, previously constructed in gauged supergravity, satisfy our more general G-structure conditions. For each explicit solution we also derive a special holonomy metric which, although singular, has an appropriate calibrated cycle. After analytic continuation, some of the classes of AdS spacetimes give rise to known classes of BPS bubble solutions with R×SO(4)×SO(4), R×SO(4)×U(1), and R×SO(4) symmetry. These have 1/2, 1/4 and 1/8 supersymmetry, respectively. We present a new class of 1/8 BPS geometries with R × SU(2) symmetry, obtained by analytic continuation of the class of AdS spacetimes associated with D3-branes wrapped on associative three-cycles.

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At the horizon of a supersymmetricAdS₅black hole: Isometries and half-BPS giants

Cited by 20 publications

References 38 publications

Uniqueness of near-horizon geometries of rotating extremal AdS ₄ black holes

Uniqueness of near-horizon geometries of rotating extremal AdS ₄ black holes

Entropy of near-extremal black holes in AdS₅

AdS spacetimes from wrapped M5 branes

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At the horizon of a supersymmetricAdS5black hole: Isometries and half-BPS giants

Cited by 20 publications

References 38 publications

Uniqueness of near-horizon geometries of rotating extremal AdS 4 black holes

Uniqueness of near-horizon geometries of rotating extremal AdS 4 black holes

Entropy of near-extremal black holes in AdS5

AdS spacetimes from wrapped M5 branes

Contact Info

Product

Resources

About

At the horizon of a supersymmetricAdS₅black hole: Isometries and half-BPS giants

Uniqueness of near-horizon geometries of rotating extremal AdS ₄ black holes

Uniqueness of near-horizon geometries of rotating extremal AdS ₄ black holes

Entropy of near-extremal black holes in AdS₅