2014

Scanning Tunneling Macroscopy, Black Holes, and AdS/CFT Bulk Locality

Rey, Soo-Jong, Rosenhaus, Vladimir

Understand

We establish resolution bounds on reconstructing a bulk field from boundary data on a timelike hypersurface.

If the bulk only supports propagating modes, reconstruction is complete.
If the bulk also supports evanescent modes, local reconstruction is not achievable unless one has exponential precision in knowledge of the boundary data.
Without exponential precision, for a Minkowski bulk, one can reconstruct a spatially coarse-grained bulk field, but only out to a depth set by the coarse-graining scale.

Built on

The University of Chicago Press, Chicago, 1984
R. M. Wald, General Relativity · 1984
Earlier work this paper cites.
J. M. Maldacena, “Wilson loops in large N field theories,” Phys.Rev.Lett
1998
Earlier work this paper cites.
J. Polchinski, L. Susskind, and N. Toumbas, “Negative energy, superluminosity and holography,” Phys.Rev
1999
Earlier work this paper cites.
J. M. Maldacena, J. Michelson, and A. Strominger, “Anti-de Sitter fragmentation,” JHEP
1999
Earlier work this paper cites.
S.-J. Rey and J.-T. Yee, “Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity,” Eur.Phys.J
2001
Earlier work this paper cites.

Similar

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2006
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D. Kabat and G. Lifschytz, “Decoding the hologram: Scalar fields interacting with gravity,” arXiv:1311.3020 [hep-th]
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V. Rosenhaus, “Holography for a small world,” arXiv:1309.4526 [hep-th]
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T. Faulkner, M. Guica, T. Hartman, R. C. Myers, and M. Van Raamsdonk, “Gravitation from Entanglement in Holographic CFTs,” arXiv:1312.7856 [hep-th]
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N. Engelhardt and A. C. Wall, “Extremal Surface Barriers,” arXiv:1312.3699 [hep-th]
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V. E. Hubeny and H. Maxfield, “Holographic probes of collapsing black holes,” arXiv:1312.6887 [hep-th]
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V. Balasubramanian, B. D. Chowdhury, B. Czech, J. de Boer, and M. P. Heller, “A hole-ographic spacetime,” arXiv:1310.4204 [hep-th]
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Cited in the paper.

Then

I. Heemskerk, D. Marolf, J. Polchinski, and J. Sully, “Bulk and Transhorizon Measurements in AdS/CFT,” JHEP
Original
2012
Later among the works it cites.
Cambridge University Press, Cambridge, 2012
Original
L. Novotny and B. Hecht, Principles of Nano-Optics · 2012
Later among the works it cites.
S. Leichenauer and V. Rosenhaus, “AdS black holes, the bulk-boundary dictionary, and smearing functions,” Phys.Rev
Original
2013
Later among the works it cites.
C. Keeler, G. Knodel, and J. T. Liu, “What do non-relativistic CFTs tell us about Lifshitz spacetimes?,” JHEP
Original
2014
Closest in time.

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