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## Black hole statistics from holography,” JHEP 0510 (2005)

Citations: | 13 - 0 self |

### Citations

1435 | Large N field theories, string theory and gravity - Aharony, Gubser, et al. |

825 |
Microscopic Origin of the Bekenstein-Hawking Entropy,” Phys
- Strominger, Vafa
- 1996
(Show Context)
Citation Context ...he fact that holographic dualities are a oneto-one map between gauge theory and geometry implies that microscopic accounts of black hole entropy by a gauge theory, such as that of Strominger and Vafa =-=[9]-=-, should have a description entirely in terms of microstates of the geometry alone. Mathur and Lunin have boldly conjectured that all black holes arise only upon coarse-graining over such microstate g... |

268 | Black hole attractors and the topological string, Phys. Rev. D70
- Ooguri, Strominger, et al.
- 2004
(Show Context)
Citation Context ... recognized as the Dedekind η-function, or the partition function for a 1+1 dimensional chiral boson, whose degeneracy is famously given by the Cardy formula For a more detailed derivation, see [18]. =-=[17]-=-. d∆,N ≃ 1 4 √ 3∆ eπ √ 2∆ 3 . (11) 2 It is possible that a mixed ensemble at a fixed chemical potential, rather than charge, would be appropriate. See 8In the opposite regime of ∆/N 2 >> 1, the fermi... |

251 |
Exact correlators of giant gravitons from dual
- Corley, Jevicki, et al.
(Show Context)
Citation Context ...s a window into black hole physics in a full quantum-mechanical setting, described as free fermions in a harmonic oscillator potential. 3 Review of LLM Following work of Corley, Jevicki and Ramgoolam =-=[12]-=- and of Berenstein [13], who solved the CFT, LLM were able to completely solve the 1 2-BPS sector of the AdS/CFT correspondence, as we will review very briefly here. 33.1 The Field Theory Beginning w... |

206 |
The fuzzball proposal for black holes: An elementary review,” Fortsch. Phys
- Mathur
- 2005
(Show Context)
Citation Context ...artition of N units of flux among 5-cycles, as required by flux quantization. While the system offers confirmation of the most controversial aspect of Mathur and Lunin’s recent “fuzzball” proposal [3]=-=[4]-=-, we see signs of a discrepancy in interpreting its details.1 Introduction By defining a full quantum-mechanical description of gravity in terms of a dual gauge theory, holography is expected to prov... |

195 |
AdS/CFT correspondence and symmetry breaking
- Klebanov, Witten
- 1999
(Show Context)
Citation Context ...c. The problem is generic to the AdS/CFT correspondence, with a linear combination of vertex operators in the boundary giving rise to a linear combination of classical boundary conditions in the bulk =-=[19]-=-. 3 Since the process of constructing a geometry is linear in the probability, not the wave function, different choices of quantum basis result in different microstate geometries. Most choices would n... |

156 |
A toy model for the AdS/CFT correspondence
- Berenstein
- 2004
(Show Context)
Citation Context ...ole physics in a full quantum-mechanical setting, described as free fermions in a harmonic oscillator potential. 3 Review of LLM Following work of Corley, Jevicki and Ramgoolam [12] and of Berenstein =-=[13]-=-, who solved the CFT, LLM were able to completely solve the 1 2-BPS sector of the AdS/CFT correspondence, as we will review very briefly here. 33.1 The Field Theory Beginning with N = 4 SYM on S3 × R... |

119 |
Bubbling AdS space and
- Lin, Lunin, et al.
- 2004
(Show Context)
Citation Context ...ey.edu July 27th, 2005 Abstract We study the microstates of the “small” black hole in the 1 2 -BPS 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 ... |

114 | String theory
- Klebanov
(Show Context)
Citation Context ...ar of S 3 . As discussed in [10], the BPS condition further reduces the excitations to those of a single hermitian matrix Φ, with action S = 1 ∫ 2 dt Tr { (DtΦ) 2 − Φ 2} . By the usual arguments (see =-=[12]-=-, for example), a gauge choice for the auxiliary U(N) gauge field A0 in the covariant derivative, Dt = ∂t − iA0, reduces the matrix Φ to its eigenvalues qi, i = 1...N. 1 In the change of variables fro... |

98 | Curvature singularities: the good, the bad, and the naked,”
- Gubser
- 2000
(Show Context)
Citation Context ...2 (1) ∆ N2. (4) Though the superstar has a naked singularity, this geometry should be a valid testing ground of black hole physics since it satisfies Gubser’s criterion for “good” naked singularities =-=[10]-=-. According to his conjecture, since the superstar singularity can be thermalized to a legitimate black hole, it is expected that α ′ corrections to the equations of motion would yield a geometry with... |

85 | The library of Babel: on the origin of gravitational thermodynamics,”
- Balasubramanian, Jejjala, et al.
- 2005
(Show Context)
Citation Context ... existence of microstate geometries for certain cases of black holes. While this paper was being finalized, we were informed of related work in progress by Balasubramanian, de Boer, Jejjala and Simón =-=[22]-=-, to appear. For a preliminary account, see [23]. 8 Acknowledgments We wish to thank Andy Charman, James Gill, Eric Gimon, Igor Klebanov and Samir Mathur for useful discussions, and Shannon McCurdy fo... |

79 |
Supergravity microstates for BPS black holes and black rings
- Berglund, Gimon, et al.
- 2006
(Show Context)
Citation Context ...he interior of the superstar, the partition requires a highly non-trivial topology, with a quantum foam emerging to replace the classical singularity of (1). 6 6 Similar behavior has been observed in =-=[20]-=-, [21]. 197 Conclusions and Discussion Our general goal has been to exploit the transparency of the LLM duality to better understand black hole entropy. By maintaining the quantum nature of the sourc... |

65 |
Statistical interpretation of Bekenstein entropy for systems with a stretched horizon
- Lunin, Mathur
- 2002
(Show Context)
Citation Context ...etry and the ensemble of fermions. We will aim to understand how the geometries account for the microstates, why the solution of [1] is incomplete, and test the details of Mathur and Lunin’s proposal =-=[3]-=-[4], roughly “naive black hole geometry=average over microstates”. 74 Statistics: Coarse-Graining and Microscopic Entropy 4.1 Microscopic Entropy Since we are working in a supersymmetric sector at ze... |

53 |
Superstars and giant gravitons
- Myers, Tafjord
(Show Context)
Citation Context ...onal Laboratory Berkeley, CA 94720-8162, USA pgs@socrates.berkeley.edu July 27th, 2005 Abstract We study the microstates of the “small” black hole in the 1 2 -BPS 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 ... |

51 |
Half-BPS giants, free fermions and microstates of superstars
- Suryanarayana
(Show Context)
Citation Context ...his can be evaluated explicitly in the two regimes of high and low density, ∆/N 2 << 1, and >> 1, respectively. For the high-density regime, it is convenient to change variables to ki = ni − ni−1 − 1 =-=[18]-=-, so that the sum becomes Z(N,q) = = ⎛ N∏ ⎝ ⎞ ∞∑ i=1 ki=0 N∏ n=1 (1 − q n ) −1 . ⎠ q ∑ N i=1 iki When ∆/N 2 << 1, excitations are small fluctuations near the top of a deep fermi sea, insensitive to th... |

34 |
Classification of all 1/2 BPS solutions of the tiny graviton matrix theory
- Sheikh-Jabbari, Torabian
(Show Context)
Citation Context ...mion number matches with 5-form flux quantization in the bulk. Additionally, quantization of phase space to a minimal area � = 2πl 4 p is an indication of a space-time non-commutativity [2] (see also =-=[15]-=-). For example, AdS5 × S5 is given by the solid disk, with radius r2 0 = R4 AdS = 4πl4 pN, (Figure 1a), as it should to agree with the ground state of the CFT. This yields the following metric functio... |

34 |
Coarse-graining 1/2 BPS geometries of type IIB supergravity
- Buchel
- 2006
(Show Context)
Citation Context ...arse-Graining and Microscopic Entropy 4.1 Microscopic Entropy Since we are working in a supersymmetric sector at zero temperature, we will use the microcanonical, rather than canonical ensemble as in =-=[16]-=-, 2 so we are interested in the degeneracy d∆,N of N fermions with excitation energy ∆ above the ground state energy N 2 /2, which can be extracted from the partition function Z(N,q) = Tr(q ∆ ) = ∑ = ... |

25 |
Singularities and closed time-like curves
- Milanesi, O’Loughlin
- 2005
(Show Context)
Citation Context ... perennially difficult issues. Among other things, this has already been used to better understand chronology protection, by demonstrating its connection to the Pauli principle in the dual theory [6] =-=[7]-=-, and to study topology changing transitions, showing that this class of geometries has a fundamental transition similar to the conifold transition, which is a smooth merger of fermi droplets in the d... |

21 |
Exact counting of black hole microstates,” arXiv:hep-th/0409148
- Dabholkar
(Show Context)
Citation Context ...uperstar singularity can be thermalized to a legitimate black hole, it is expected that α ′ corrections to the equations of motion would yield a geometry with a finite-area horizon. Indeed, Dabholkar =-=[11]-=- has used the attractor mechanism to exactly account for these corrections for singular 2-charge black holes, to demonstrate a naked singularity resolved to yield a finite-area horizon. We will theref... |

20 |
Topology changing transitions in bubbling geometries
- Horava, Shepard
- 2005
(Show Context)
Citation Context ...udy topology changing transitions, showing that this class of geometries has a fundamental transition similar to the conifold transition, which is a smooth merger of fermi droplets in the dual theory =-=[8]-=-. Since LLM provides perhaps the most transparent realization of quantum gravity to date, it seems that any mystery of quantum gravity should be tackled there first. In this paper, we will use this el... |

11 |
Bubbling supertubes and foaming black holes,” arXiv:hepth/0505166
- Bena, Warner
(Show Context)
Citation Context ...erior of the superstar, the partition requires a highly non-trivial topology, with a quantum foam emerging to replace the classical singularity of (1). 6 6 Similar behavior has been observed in [20], =-=[21]-=-. 197 Conclusions and Discussion Our general goal has been to exploit the transparency of the LLM duality to better understand black hole entropy. By maintaining the quantum nature of the sources, th... |

11 |
The library of Babel,” arXiv:hep-th/0505123
- Balasubramanian, Jejjala, et al.
(Show Context)
Citation Context ...cases of black holes. While this paper was being finalized, we were informed of related work in progress by Balasubramanian, de Boer, Jejjala and Simón [22], to appear. For a preliminary account, see =-=[23]-=-. 8 Acknowledgments We wish to thank Andy Charman, James Gill, Eric Gimon, Igor Klebanov and Samir Mathur for useful discussions, and Shannon McCurdy for editing the draft. We are especially grateful ... |