AdS / CFT duality and the black hole information paradox

By O. Lunin, Samir D. Mathur. 2001

581 citations recorded by the source corpus.

Abstract Near-extremal black holes are obtained by exciting the Ramond sector of the D1-D5 CFT, where the ground state is highly degenerate. We find that the dual geometries for these ground states have throats that end in a way that is characterized by the CFT state. Below the black hole threshold we find a detailed agreement between propagation in the throat and excitations of the CFT. We study the breakdown of the semiclassical approximation and relate the results to the proposal of gr-qc/0007011 for resolving the information paradox: semiclassical evolution breaks down if hypersurfaces stretch too much during an evolution. We find that a volume V stretches to a maximum throat depth of V /2G .

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/eb94038ee704d433ddfff7f43b93d162ec9c7920

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Citations in the corpus

Holographic anatomy of fuzzballs (2006, methodology): “(1.11) which was the proposal in [ 1 ]. As soon as one moves to more complicated curves, however, the correspondence becomes”
Black holes, black rings and their microstates (2007, background): “Counting these configurations [5, 13] has shown that the entropy of the CFT is reproduced by the entropy coming from the arbitrariness of the shape of the closed curve.”
Black holes as effective geometries (2008, background): “Much of what will be discussed is a review of work by other authors [2, 6, 9, 11, 13, 14, 17] (see also the other references cited earlier and throughout the remainder of the text).”
Adding momentum to D1-D5 system (2004, methodology): “In [5] a large class of these microscopic states was considered and the geometries corresponding”
The library of Babel: on the origin of gravitational thermodynamics (2005, background): “cribes the underlying quantum mechanical object which is being approximated by classical geometry. We are in eﬀect studying the quantum extension of the classical geometric considerations of [13] and [6]. One might ask whether the Wigner or Husimi distribution is the correct extension, particularly ”
Mergers and typical black hole microstates (2006, background): “It would be very interesting to examine this issue in greater depth by finding, at least approximate solutions to the wave equation in these backgrounds, or performing a time-of-flight analysis along the lines of [33,34,15].”
Four dimensional black hole microstates: from D-branes to spacetime foam (2006, unknown): “This is more along the lines of the proposals of Mathur and collaborators [40, 41, 42].”
Plumbing the Abyss: Black ring microstates (2007, background): “These calculations have been very successful both for two-charge solutions [1,3], and for simple three-charge solutions [17].”
Nonsupersymmetric smooth geometries and D1-D5-P bound states (2005, unknown): “s were constructed in [15, 16], and correspond to the Ramond-Ramond (RR) ground state obtained by spectral ﬂow from the Neveu-Schwarz–Neveu-Schwarz (NSNS) vacuum state. This was subsequently extended [17, 10, 18] to ﬁnd a family of smooth geometries corresponding to the whole family of RR ground sta”
Global structure of five-dimensional fuzzballs (2013, background): “Mathur and collaborators went on to demonstrate that these fuzzball geometries could reproduce many of the properties of BPS black holes and of near-BPS black holes (see [1, 5, 6] for further discussion of this).”
Habemus superstratum! A constructive proof of the existence of superstrata (2015, background): “All two-charge D1-D5 microstates have been constructed in [18,20,56,57] and are associated with a closed curve in R(8), gA(v) (A = 1, .”
Comments on black holes I: the possibility of complementarity (2012, background): “String theory provides a microscopic explanation for the entropy of black holes [9], and the fuzzball structure of microstates provides a solution to the information paradox [10–31].”