Built on

D. Lovelock, “The Einstein tensor and its generalizations,” J. Math. Phys. 12
1970
Earlier work this paper cites.
E. H. Lieb and M. B. Ruskai, “A fundamental property of quantum-mechanical entropy,” Phys. Rev. Lett. 30
1973
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and the second law,” Lett. Nuovo Cim. 4
1974
Earlier work this paper cites.
S. W. Hawking, “Black hole explosions,” Nature 248
1975
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Cosmological event horizons, thermodynamics, and particle creation,” Phys. Rev. D 15
1977
Earlier work this paper cites.
R. Laflamme, “Entropy Of A Rindler Wedge,” Phys. Lett. B 196
1987
Earlier work this paper cites.
T. Jacobson and R. C. Myers, “Black hole entropy and higher curvature interactions,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D 48
1994
Earlier work this paper cites.
C. Holzhey, F. Larsen and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B 424
1994
Earlier work this paper cites.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D 48
1994
Earlier work this paper cites.
T. Jacobson and R. Parentani, “Horizon entropy,” Found. Phys. 33
2003
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
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.

Similar

S. Ryu and T. Takayanagi, “Aspects of holographic entanglement entropy,” JHEP 0608
2006
Cited alongside, same era.
D. V. Fursaev, “Proof of the holographic formula for entanglement entropy,” JHEP 0609
2006
Cited alongside, same era.
M. Headrick and T. Takayanagi, “A holographic proof of the strong subadditivity of entanglement entropy,” Phys. Rev. D 76
Original
2007
Cited alongside, same era.
T. Nishioka, S. Ryu and T. Takayanagi, “Holographic Entanglement Entropy: An Overview,” J. Phys. A 42
Original
2009
Cited alongside, same era.
For example, see: M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, “Viscosity Bound Violation in Higher Derivative Gravity,” Phys. Rev. D 77
Original
2009
Cited alongside, same era.

Then

V. E. Hubeny and M. Rangamani, “Causal Holographic Information,” JHEP 1206
Original
2012
Later among the works it cites.
R. C. Myers and A. Singh, “Comments on Holographic Entanglement Entropy and RG Flows,” JHEP 1204
Original
2012
Later among the works it cites.
V. E. Hubeny, “Extremal surfaces as bulk probes in AdS/CFT,” JHEP 1207
Original
2012
Later among the works it cites.
A. Lewkowycz and J. Maldacena, “Generalized gravitational entropy,” JHEP 1308
Original
2013
Later among the works it cites.
V. E. Hubeny, H. Maxfield, M. Rangamani and E. Tonni, “Holographic entanglement plateaux,” JHEP 1308
Original

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2014

Holographic Holes in Higher Dimensions

Myers, Robert C., Rao, Junjie, Sugishita, Sotaro

Understand

We extend the holographic construction from AdS3 to higher dimensions.

In particular, we show that the Bekenstein-Hawking entropy of codimension-two surfaces in the bulk with planar symmetry can be evaluated in terms of the 'differential entropy' in the boundary theory.
The differential entropy is a certain quantity constructed from the entanglement entropies associated with a family of regions covering a Cauchy surface in the boundary geometry.
We demonstrate that a similar construction based on causal holographic information fails in higher dimensions, as it typically yields divergent results.

Built on

D. Lovelock, “The Einstein tensor and its generalizations,” J. Math. Phys. 12
1970
Earlier work this paper cites.
E. H. Lieb and M. B. Ruskai, “A fundamental property of quantum-mechanical entropy,” Phys. Rev. Lett. 30
1973
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and the second law,” Lett. Nuovo Cim. 4
1974
Earlier work this paper cites.
S. W. Hawking, “Black hole explosions,” Nature 248
1975
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Cosmological event horizons, thermodynamics, and particle creation,” Phys. Rev. D 15
1977
Earlier work this paper cites.
R. Laflamme, “Entropy Of A Rindler Wedge,” Phys. Lett. B 196
1987
Earlier work this paper cites.
T. Jacobson and R. C. Myers, “Black hole entropy and higher curvature interactions,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D 48
1994
Earlier work this paper cites.
C. Holzhey, F. Larsen and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B 424
1994
Earlier work this paper cites.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D 48
1994
Earlier work this paper cites.
T. Jacobson and R. Parentani, “Horizon entropy,” Found. Phys. 33
2003
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
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.