Built on

S. W. Hawking, “Black hole explosions,” Nature 248
1974
Earlier work this paper cites.
J. D. Bekenstein, “Generalized second law of thermodynamics in black hole physics,” Phys. Rev. D 9
1974
Earlier work this paper cites.
R. M. Wald, General Relativity
1984
Earlier work this paper cites.
C. Fefferman and C. R. Graham, “Conformal invariants,” Elie Cartan et les Mathematiques d’aujourd’hui
1985
Earlier work this paper cites.
J. M. Maldacena,“The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys.2, 231 (1998), hep-th/9711200
1998
Earlier work this paper cites.
R. Bousso, “A Covariant Entropy Conjecture,” JHEP
1999
Earlier work this paper cites.

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Then

W. R. Kelly and A. C. Wall, “Coarse-grained entropy and causal holographic information in AdS/CFT,” JHEP 1403
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2014
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F. Sanches and S. Weinberg, “A Holographic Entanglement Entropy Conjecture for General Spacetimes,” Phys. Rev. D 94
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Later among the works it cites.
W. Bunting, Z. Fu and D. Marolf, “A coarse-grained generalized second law for holographic conformal field theories,” Class. Quant. Grav. 33
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2017

Marginally Trapped Surfaces and AdS/CFT

Grado-White, Brianna, Marolf, Donald

Understand

It has been proposed that the areas of marginally trapped or anti-trapped surfaces (also known as leaves of holographic screens) may encode some notion of entropy.

To connect this to AdS/CFT, we study the case of marginally trapped surfaces anchored to an AdS boundary.
We establish that such boundary-anchored leaves lie between the causal and extremal surfaces defined by the anchor and that they have area bounded below by that of the minimal extremal surface.
This suggests that the area of any leaf represents a coarse-grained von Neumann entropy for the associated region of the dual CFT.

Built on

S. W. Hawking, “Black hole explosions,” Nature 248
1974
Earlier work this paper cites.
J. D. Bekenstein, “Generalized second law of thermodynamics in black hole physics,” Phys. Rev. D 9
1974
Earlier work this paper cites.
R. M. Wald, General Relativity
1984
Earlier work this paper cites.
C. Fefferman and C. R. Graham, “Conformal invariants,” Elie Cartan et les Mathematiques d’aujourd’hui
1985
Earlier work this paper cites.
J. M. Maldacena,“The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys.2, 231 (1998), hep-th/9711200
1998
Earlier work this paper cites.
R. Bousso, “A Covariant Entropy Conjecture,” JHEP
1999
Earlier work this paper cites.