Built on

H. Bondi, “Massive spheres in general relativity,” Proc. Royal Society London 282
1963
Earlier work this paper cites.
J. M. Maldacena, “Wilson loops in large N field theories,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
A. Brandhuber et al., “Wilson loops in the large N limit at finite temperature,” Phys. Lett. B 434
1998
Earlier work this paper cites.
S-J. Rey, S. Theisen, and J-T. Yee, “Wilson-Polyakov loop at finite temperature in large N gauge theory and anti-de Sitter supergravity,” Nucl. Phys. B 527
1998
Earlier work this paper cites.
R. Cleve, D. Gottesman, and H-K. Lo, “How to share a quantum secret,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
G. T. Horowitz, “Comments on black holes in string theory,” Class. Quant. Grav. 17
2000
Earlier work this paper cites.
L. Pestov and G. Uhlmann, “Two dimensional compact simple Riemannian manifolds are boundary distance rigid,” Ann. Math. 161
2003
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of holographic entanglement entropy,” JHEP 0608
2006
Earlier work this paper cites.
N. Seiberg, “Emergent spacetime,” (2006), arXiv:hep-th/0601234
2006
Earlier work this paper cites.
T. Hollowood, S. P. Kumar, and A. Naqvi, “Instabilities of the small black hole: a view from N=4 SYM,” JHEP 2007
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, “A covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
M. van Raamsdonk, “Building up spacetime with quantum entanglement,” Gen. Rel. Grav. 42
Original
2010
Earlier work this paper cites.

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2014

Casting Shadows on Holographic Reconstruction

Freivogel, Ben, Jefferson, Robert Alan, Kabir, Laurens et al.

Understand

In the context of the AdS/CFT correspondence, we study several holographic probes that relate information about the bulk spacetime to CFT data.

The best-known example is the relation between minimal surfaces in the bulk and entanglement entropy of a subregion in the CFT.
Building on earlier work, we identify "shadows" in the bulk: regions that are not illuminated by any of the bulk probes we consider, in the sense that the bulk surfaces do not pass through these regions.
We quantify the size of the shadow in the near horizon region of a black hole and in the vicinity of a sufficiently dense star.

Built on

H. Bondi, “Massive spheres in general relativity,” Proc. Royal Society London 282
1963
Earlier work this paper cites.
J. M. Maldacena, “Wilson loops in large N field theories,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
A. Brandhuber et al., “Wilson loops in the large N limit at finite temperature,” Phys. Lett. B 434
1998
Earlier work this paper cites.
S-J. Rey, S. Theisen, and J-T. Yee, “Wilson-Polyakov loop at finite temperature in large N gauge theory and anti-de Sitter supergravity,” Nucl. Phys. B 527
1998
Earlier work this paper cites.
R. Cleve, D. Gottesman, and H-K. Lo, “How to share a quantum secret,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
G. T. Horowitz, “Comments on black holes in string theory,” Class. Quant. Grav. 17
2000
Earlier work this paper cites.
L. Pestov and G. Uhlmann, “Two dimensional compact simple Riemannian manifolds are boundary distance rigid,” Ann. Math. 161
2003
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of holographic entanglement entropy,” JHEP 0608
2006
Earlier work this paper cites.
N. Seiberg, “Emergent spacetime,” (2006), arXiv:hep-th/0601234
2006
Earlier work this paper cites.
T. Hollowood, S. P. Kumar, and A. Naqvi, “Instabilities of the small black hole: a view from N=4 SYM,” JHEP 2007
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, “A covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
M. van Raamsdonk, “Building up spacetime with quantum entanglement,” Gen. Rel. Grav. 42
Original
2010
Earlier work this paper cites.