A toy model of black hole complementarity
TLDR
In this article, the authors consider the algebra of simple operators defined in a time band in a CFT with a holographic dual and show that this algebra obeys a version of the Reeh-Schlieder theorem: the action of the algebra can approximate any low energy state in the CFT arbitrarily well, but no operator within this algebra can exactly annihilate the vacuum.Abstract:
We consider the algebra of simple operators defined in a time band in a CFT with a holographic dual. When the band is smaller than the light crossing time of AdS, an entire causal diamond in the center of AdS is separated from the band by a horizon. We show that this algebra obeys a version of the Reeh-Schlieder theorem: the action of the algebra on the CFT vacuum can approximate any low energy state in the CFT arbitrarily well, but no operator within the algebra can exactly annihilate the vacuum. We show how to relate local excitations in the complement of the central diamond to simple operators in the band. Local excitations within the diamond are invisible to the algebra of simple operators in the band by causality, but can be related to complicated operators called “precursors”. We use the Reeh-Schlieder theorem to write down a simple and explicit formula for these precursors on the boundary. We comment on the implications of our results for black hole complementarity and the emergence of bulk locality from the boundary.read more
Citations
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Bulk locality from modular flow
Thomas Faulkner,Aitor Lewkowycz +1 more
TL;DR: In this article, the authors study the reconstruction of bulk operators in the entanglement wedge in terms of low energy operators localized in the respective boundary region and obtain an expression when the bulk operator is located on the Ryu-Takayanagi surface which only depends on the bulk to boundary correlator.
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The Holographic Nature of Null Infinity
TL;DR: In this paper, it was shown that all information about massless excitations can be obtained from an infinitesimal neighbourhood of the past boundary of future null infinity and does not require observations over all of futurenull infinity.
Journal ArticleDOI
Bulk locality from modular flow
Thomas Faulkner,Aitor Lewkowycz +1 more
TL;DR: In this article, the authors study the reconstruction of bulk operators in the entanglement wedge in terms of low energy operators localized in the respective boundary region and obtain an expression when the bulk operator is located on the Ryu-Takayanagi surface which only depends on the bulk to boundary correlator.
Posted Content
Lessons from the Information Paradox
TL;DR: In this paper, it was shown that a copy of all the information on a Cauchy slice is also available near the boundary of the slice, leading to the information paradox.
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The Black Hole S-Matrix from Quantum Mechanics
TL;DR: In this article, the authors revisited the old black hole S-Matrix construction and its new partial wave expansion of "t Hooft" and showed that there is an exponential degeneracy in how a given total initial energy may be distributed among many partial waves of the 4D black hole.
References
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TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
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Gauge Theory Correlators from Non-Critical String Theory
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A covariant holographic entanglement entropy proposal
TL;DR: In this paper, a covariant generalization of the holographic entanglement entropy proposal of hep-th/0603001 is proposed to understand the time-dependence of entropy in generic quantum field theories.