The gravitational description of coarse grained microstates

Alday, Luis F.; Boer, Jan de; Messamah, Ilies

doi:10.1088/1126-6708/2006/12/063

Cited by 35 publications

(74 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This immediately suggests a suitable coarse-graining procedure: we simply smear the harmonic functions against the phase space density which describes the density matrix in question. This approach was followed for example in [25]. It would be interesting to explore in more detail whether this method gives rise to the appropriate averaging of the one-point functions, and to what extent it agrees with the approach based on typical states that we described in the previous paragraph.…”

Section: Average/coarse Grainingmentioning

confidence: 91%

“…We now propose to associate to a density matrix of the form (4.10) a phase space density (compare to the general discussion in section 2.1) of the form [25] …”

Section: Geometries From Coherent Statesmentioning

confidence: 99%

“…The focus of these notes will be [23,24,25,26,27,28,29,30,31,32] which use well-controlled supersymmetric examples to explore the idea that black holes might be simply "effective geometries", i.e. that they are effective coarse-grained descriptions of underlying horizon-free objects.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Black holes as effective geometries

Balasubramanian

Boer²,

El-Showk³

et al. 2008

Class. Quantum Grav.

Self Cite

142

173

View full text Add to dashboard Cite

Gravitational entropy arises in string theory via coarse graining over an underlying space of microstates. In this review we would like to address the question of how the classical black hole geometry itself arises as an effective or approximate description of a pure state, in a closed string theory, which semiclassical observers are unable to distinguish from the "naive" geometry. In cases with enough supersymmetry it has been possible to explicitly construct these microstates in spacetime, and understand how coarse-graining of non-singular, horizon-free objects can lead to an effective description as an extremal black hole. We discuss how these results arise for examples in Type II string theory on AdS 5 ×S 5 and on AdS 3 ×S 3 ×T 4 that preserve 16 and 8 supercharges respectively. For such a picture of black holes as effective geometries to extend to cases with finite horizon area the scale of quantum effects in gravity would have to extend well beyond the vicinity of the singularities in the effective theory. By studying examples in M-theory on AdS 3 ×S 2 ×CY that preserve 4 supersymmetries we show how this can happen. This review is a revised and extended version of proceedings submitted for the Sower's Theoretical Physics Workshop 2007 "What is String Theory?" and of lecture notes for the CERN RTN Winter School on Strings, Supergravity and Gauge Theories [1].

show abstract

Section: Average/coarse Grainingmentioning

confidence: 91%

“…We now propose to associate to a density matrix of the form (4.10) a phase space density (compare to the general discussion in section 2.1) of the form [25] …”

Section: Geometries From Coherent Statesmentioning

confidence: 99%

See 1 more Smart Citation

Black holes as effective geometries

Balasubramanian

Boer²,

El-Showk³

et al. 2008

Class. Quantum Grav.

Self Cite

142

173

View full text Add to dashboard Cite

show abstract

“…Motivated by the duality relation of the fuzzball solutions to the fundamental string system, a precise proposal was made in [20,21,22] for the correspondence between geometries and ground states; see also [68].…”

Section: Map Between Geometries and Microstatesmentioning

confidence: 99%

The fuzzball proposal for black holes

2008

View full text Add to dashboard Cite

The fuzzball proposal states that associated with a black hole of entropy S there are exp S horizon-free non-singular solutions that asymptotically look like the black hole but generically differ from the black hole up to the horizon scale. These solutions, the fuzzballs, are considered to be the black hole microstates while the original black hole represents the average description of the system. The purpose of this report is to review current evidence for the fuzzball proposal, emphasizing the use of AdS/CFT methods in developing and testing the proposal. In particular, we discuss the status of the proposal for 2 and 3 charge black holes in the D1-D5 system, presenting new derivations and streamlining the discussion of their properties. Results to date support the fuzzball proposal but further progress is likely to require going beyond the supergravity approximation and sharpening the definition of a "stringy fuzzball". We outline how the fuzzball proposal could resolve longstanding issues in black hole physics, such as Hawking radiation and information loss.Our emphasis throughout is on connecting different developments and identifying open problems and directions for future research.

show abstract

“…The following proposal was made in [11,12] for the precise correspondence between geometries and ground states; see also [33]. Given a curve F i (v) we construct the corresponding coherent state in the FP system and then find which Fock states in this coherent state have excitation number N L equal to nw, where n is the momentum and w is the winding.…”

Section: Correspondence Between Geometries and Ground Statesmentioning

confidence: 99%

Fuzzballs with internal excitations

Kanitscheider

Skenderis

Taylor

2007

J. High Energy Phys.

194

387

View full text Add to dashboard Cite

We construct general 2-charge D1-D5 horizon-free non-singular solutions of IIB supergravity on T 4 and K3 describing fuzzballs with excitations in the internal manifold; these excitations are characterized by arbitrary curves. The solutions are obtained via dualities from F1-P solutions of heterotic and type IIB on T 4 for the K3 and T 4 cases, respectively.We compute the holographic data encoded in these solutions, and show that the internal excitations are captured by vevs of chiral primaries associated with the middle cohomology of T 4 or K3. We argue that each geometry is dual to a specific superposition of R ground states determined in terms of the Fourier coefficients of the curves defining the supergravity solution. We compute vevs of chiral primaries associated with the middle cohomology and show that they indeed acquire vevs in the superpositions corresponding to fuzzballs with internal excitations, in accordance with the holographic results. We also address the question of whether the fuzzball program can be implemented consistently within supergravity.

show abstract

The gravitational description of coarse grained microstates

Cited by 35 publications

References 27 publications

Black holes as effective geometries

Black holes as effective geometries

The fuzzball proposal for black holes

Fuzzballs with internal excitations

Contact Info

Product

Resources

About