Bulk locality and boundary creating operators
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In this article, the authors formulate a minimum requirement for CFT operators to be localized in the dual AdS and show that a general solution to the requirement is a linear superposition of operators creating spherical boundaries in CFT, with the dilatation by the imaginary unit from their centers.Abstract:
We formulate a minimum requirement for CFT operators to be localized in the dual AdS. In any spacetime dimensions, we show that a general solution to the requirement is a linear superposition of operators creating spherical boundaries in CFT, with the dilatation by the imaginary unit from their centers. This generalizes the recent proposal by Miyaji et al. for bulk local operators in the three dimensional AdS. We show that Ishibashi states for the global conformal symmetry in any dimensions and with the imaginary di-latation obey free field equations in AdS and that incorporating bulk interactions require their superpositions. We also comment on the recent proposals by Kabat et al., and by H. Verlinde.read more
Citations
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A Stereoscopic Look into the Bulk
TL;DR: In this article, the authors present a dictionary of non-local CFT operators whose duals are simple, diffeomorphism-invariant bulk operators, such as the modular Hamiltonian, which is dual to the fluctuation in the area of a minimal surface.
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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.
Journal ArticleDOI
A Stereoscopic Look into the Bulk
TL;DR: In this article, the authors present a dictionary with depth perception consisting of natural CFT operators whose duals are simple, diffeomorphism-invariant bulk operators, such as the modular Hamiltonian.
Proceedings ArticleDOI
TASI Lectures on the Emergence of Bulk Physics in AdS/CFT
TL;DR: In this paper, the authors review recent developments in the understanding of local bulk physics in AdS/CFT and present sufficient conditions for a conformal field theory to have a semiclassical dual, bulk reconstruction, the quantum error correction interpretation of the correspondence, tensor network models of holography, and the quantum Ryu-Takayanagi formula.
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.
References
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Posted Content
AdS Dynamics from Conformal Field Theory
TL;DR: In this paper, the authors explore the extent to which a local string theory dynamics in anti-de Sitter space can be determined from its proposed Conformal Field Theory (CFT) description.
Journal ArticleDOI
Constructing local bulk observables in interacting AdS/CFT
TL;DR: In this article, the authors show how to construct these bulk observables by requiring that the bulk operators commute at spacelike separation, which is related to bulk Feynman diagrams.