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86
Four Dimensional Black Hole Microstates: From Dbranes to Spacetime Foam,” arXiv:hepth/0606118
"... We propose that every supersymmetric four dimensional black hole of finite area can be split up into microstates made up of primitive halfBPS “atoms”. The mutual nonlocality of the charges of these “atoms ” binds the state together. In support of this proposal, we display a class of smooth, horizo ..."
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Cited by 44 (6 self)
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We propose that every supersymmetric four dimensional black hole of finite area can be split up into microstates made up of primitive halfBPS “atoms”. The mutual nonlocality of the charges of these “atoms ” binds the state together. In support of this proposal, we display a class of smooth, horizonfree, four dimensional supergravity solutions carrying the charges of black holes, with multiple centers each carrying the charge of a halfBPS state. At vanishing string coupling the solutions collapse to a bound system of intersecting Dbranes. At weak coupling the system expands into the noncompact directions forming a topologically complex geometry. At strong coupling, a new dimension opens up, and the solutions form a “foam ” of spheres threaded by flux in Mtheory. We propose that this transverse growth of the underlying bound state of constitutent branes is responsible for the emergence of black hole horizons for coarsegrained observables. As such, it suggests the link between the Dbrane and “spacetime foam ” approaches to black hole entropy.
Extremal singlecharge small black holes: Entropy function analysis,” arXiv:hepth/0601183
"... We study stretched horizons of the type AdS2 ×S 8 for certain spherically symmetric extremal small black holes in type IIA carrying only D0brane charge making use of Sen’s entropy function formalism for higher derivative gravity. A scaling argument is given to show that the entropy of this class of ..."
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Cited by 21 (1 self)
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We study stretched horizons of the type AdS2 ×S 8 for certain spherically symmetric extremal small black holes in type IIA carrying only D0brane charge making use of Sen’s entropy function formalism for higher derivative gravity. A scaling argument is given to show that the entropy of this class of black holes for large charge behaves as √ q  where q is the electric charge. The leading order result arises from IIA string loop corrections. We find that for solutions to exist the force on a probe D0brane has to vanish and we prove that this feature persists to all higher derivative orders. We comment on the nature of the extremum of these solutions and on the subleading corrections to the entropy. The entropy of other small black holes related by dualities to our case is also discussed.
Geometries from Young Diagrams
, 2008
"... Type IIB string theory on spacetimes that are asymptotically AdS5×S5 can be defined using four dimensional N = 4 super YangMills theory. Six of the dimensions of the string theory are holographically reconstructed in the YangMills theory. In this article we study how these dimensions and local p ..."
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Cited by 16 (7 self)
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Type IIB string theory on spacetimes that are asymptotically AdS5×S5 can be defined using four dimensional N = 4 super YangMills theory. Six of the dimensions of the string theory are holographically reconstructed in the YangMills theory. In this article we study how these dimensions and local physics in these dimensions emerge. We reorganize the dynamics of the 1 BPS sector of the field theory by rewriting it in terms 2 of Schur polynomials. The Young diagram labeling of these polynomials can be viewed as a book keeping device which summarizes how the operator is constructed. We show that aspects of the geometry of the extra holographic dimensions are captured very naturally by the Young diagram. Gravitons which are localized at a specific position
On the Microscopic Perspective of Black Branes Thermodynamic Geometry
, 2008
"... In this article we study correspondence between the microscopic spectrum and macroscopic properties of a class of extremal and nonextremal black branes and outline an origin of the interactions among various microstates of a given black brane configuration from the perspective of an intrinsic Riema ..."
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Cited by 14 (13 self)
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In this article we study correspondence between the microscopic spectrum and macroscopic properties of a class of extremal and nonextremal black branes and outline an origin of the interactions among various microstates of a given black brane configuration from the perspective of an intrinsic Riemannian geometry arising from the coarse graining entropy over a large number of microstates. We have analyzed the statespace geometry in the case of various extremal and nonextremal black branes arising from the string theories, multicentered black brane configurations, small black holes with fractional branes, fuzzy rings in the set up of Mathur’s fuzzballs and subensemble theory, as well as that the black brane foams from the considerations of bubbling black brane solutions in the Mtheory. We have further shown that there exists a clear mechanism on the black brane side that describes the notion of associated interactions in the statespace or viceversa. We thus find that in all such cases there are no singularities in the statespace manifold of these
Black hole statistics from holography,” JHEP 0510
, 2005
"... We study the microstates of the “small ” black hole in the 1 2BPS sector of AdS5 × S 5, the superstar [1], using the powerful holographic description provided by LLM [2]. The system demonstrates the inherently statistical nature of black holes, with the geometry of [1] emerging only after averaging ..."
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Cited by 13 (0 self)
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We study the microstates of the “small ” black hole in the 1 2BPS sector of AdS5 × S 5, the superstar [1], using the powerful holographic description provided by LLM [2]. The system demonstrates the inherently statistical nature of black holes, with the geometry of [1] emerging only after averaging over an ensemble of geometries. The individual microstate geometries differ in the highly nontrivial topology of a quantum foam at their core, and the entropy can be understood as a partition of N units of flux among 5cycles, as required by flux quantization. While the system offers confirmation of the most controversial aspect of Mathur and Lunin’s By defining a full quantummechanical description of gravity in terms of a dual gauge theory, holography is expected to provide resolution to many outstanding questions in general relativity. However, since it is often very difficult to construct both sides of the duality, many questions have been slow in revealing their mysteries. A beautiful recent work by Lin, Lunin and Maldacena [2] has
New D1D5P geometries from string amplitudes
 JHEP
"... We derive the long range supergravity fields sourced by a D1D5P bound state from disk amplitudes for massless closed string emission. We suggest that since the parameter controlling the string perturbation expansion for this calculation decreases with distance from the bound state, the resulting a ..."
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Cited by 13 (7 self)
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We derive the long range supergravity fields sourced by a D1D5P bound state from disk amplitudes for massless closed string emission. We suggest that since the parameter controlling the string perturbation expansion for this calculation decreases with distance from the bound state, the resulting asymptotic fields are valid even in the regime of parameters in which there is a classical black hole solution with the same charges. The supergravity fields differ from the black hole solution by multipole moments and are more general than those contained within known classes of solutions in the literature, whilst still preserving four supersymmetries. Our results support the conjecture that the black hole solution should be interpreted as a coarsegrained description rather than an exact description of the gravitational field sourced by D1D5P bound states in this regime of parameters. ar X iv
Quantitative approaches to information recovery from black holes
, 2011
"... The evaporation of black holes into apparently thermal radiation poses a serious conundrum for theoretical physics: at face value, it appears that in the presence of a black hole quantum evolution is nonunitary and destroys information. This information loss paradox has its seed in the presence of ..."
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Cited by 11 (2 self)
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The evaporation of black holes into apparently thermal radiation poses a serious conundrum for theoretical physics: at face value, it appears that in the presence of a black hole quantum evolution is nonunitary and destroys information. This information loss paradox has its seed in the presence of a horizon causally separating the interior and asymptotic regions in a black hole spacetime. A quantitative resolution of the paradox could take several forms: (a) a precise argument that the underlying quantum theory is unitary, and that information loss must be an artifact of approximations in the derivation of black hole evaporation, (b) an explicit construction showing how information can be recovered by the asymptotic observer, (c) a demonstration that the causal disconnection of the black hole interior from infinity is an artifact of the semiclassical approximation. This review summarizes progress on all these fronts.
Halfbps geometries and thermodynamics of free fermions
 JHEP
"... Solutions of type IIB supergravity which preserve half of the supersymmetries have a dual description in terms of free fermions, as elucidated by the “bubbling AdS ” construction of Lin, Lunin and Maldacena. In this paper we study the halfBPS geometry associated with a gas of free fermions in therm ..."
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Cited by 10 (2 self)
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Solutions of type IIB supergravity which preserve half of the supersymmetries have a dual description in terms of free fermions, as elucidated by the “bubbling AdS ” construction of Lin, Lunin and Maldacena. In this paper we study the halfBPS geometry associated with a gas of free fermions in thermodynamic equilibrium obeying the FermiDirac distribution. We consider both regimes of low and high temperature. In the former case, we present a detailed computation of the ADM mass of the supergravity solution and find agreement with the thermal energy of the fermions. The solution has a naked null singularity and, by general arguments, is expected to develop a finite area horizon once stringy corrections are included. By introducing a stretched horizon, we propose a way to match the entropy of the fermions with the entropy of the geometry in the low temperature regime. In the opposite limit of high temperature, the solution resembles a dilute gas of D3 branes. Also in this case the ADM mass of the geometry agrees with the thermal energy of the fermions.
From gravitons to giants
"... Abstract: We discuss exact quantization of gravitational fluctuations in the halfBPS sector around AdS5×S 5 background, using the dual super YangMills theory. For this purpose we employ the recently developed techniques for exact bosonization of a finite number N of fermions in terms of N bosonic ..."
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Abstract: We discuss exact quantization of gravitational fluctuations in the halfBPS sector around AdS5×S 5 background, using the dual super YangMills theory. For this purpose we employ the recently developed techniques for exact bosonization of a finite number N of fermions in terms of N bosonic oscillators. An exact computation of the threepoint correlation function of gravitons for finite N shows that they become strongly coupled at sufficiently high energies, with an interaction that grows exponentially in N. We show that even at such high energies a description of the bulk physics in terms of weakly interacting particles can be constructed. The single particle states providing such a description are created by our bosonic oscillators or equivalently these are the multigraviton states corresponding to the socalled Schur polynomials. Both represent single giant graviton states in the bulk. Multiparticle states corresponding to multigiant gravitons are, however, different, since interactions among our bosons vanish identically, while the Schur polynomials are weakly interacting at high enough energies. Keywords: Bosonization, AdSCFT, String Theory, Supergravity. Contents