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A. Renyi, On Measures of Entropy and Information
1961
Earlier work this paper cites.
J. S. Schwinger, Brownian motion of a quantum oscillator
1961
Earlier work this paper cites.
R. Feynman and J. Vernon, F.L., The Theory of a general quantum system interacting with a linear dissipative system
1963
Earlier work this paper cites.
L. Keldysh, Diagram technique for nonequilibrium processes
1964
Earlier work this paper cites.
E. Farhi, A. H. Guth, and J. Guven, Is It Possible to Create a Universe in the Laboratory by Quantum Tunneling?
1990
Earlier work this paper cites.
V. Iyer and R. M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy
1994
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography
1998
Earlier work this paper cites.
D. T. Son and A. O. Starinets, Minkowski space correlators in AdS / CFT correspondence: Recipe and applications
2002
Earlier work this paper cites.
M. Gutperle and A. Strominger, Space - like branes
2002
Earlier work this paper cites.
C. Herzog and D. Son, Schwinger-Keldysh propagators from AdS/CFT correspondence
2003
Earlier work this paper cites.
J. M. Maldacena, Eternal black holes in anti-de Sitter
2003
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy
2006
Earlier work this paper cites.
D. V. Fursaev, Proof of the holographic formula for entanglement entropy
2006
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Holographic representation of local bulk operators
2006
Earlier work this paper cites.

Similar

V. E. Hubeny, M. Rangamani, and T. Takayanagi, A Covariant holographic entanglement entropy proposal
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K. Skenderis and B. C. van Rees, Real-time gauge/gravity duality: Prescription, Renormalization and Examples
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Then

M. Headrick, V. E. Hubeny, A. Lawrence, and M. Rangamani, Causality & holographic entanglement entropy
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2014
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X. Dong, Holographic Entanglement Entropy for General Higher Derivative Gravity
Original
2014
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J. Camps, Generalized entropy and higher derivative Gravity
Original
2014
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A. C. Wall, Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
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2014
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S. Fischetti and D. Marolf, Complex Entangling Surfaces for AdS and Lifshitz Black Holes?
Original

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2016

Deriving covariant holographic entanglement

Dong, Xi, Lewkowycz, Aitor, Rangamani, Mukund

Understand

We provide a gravitational argument in favour of the covariant holographic entanglement entropy proposal.

In general time-dependent states, the proposal asserts that the entanglement entropy of a region in the boundary field theory is given by a quarter of the area of a bulk extremal surface in Planck units.
The main element of our discussion is an implementation of an appropriate Schwinger-Keldysh contour to obtain the reduced density matrix (and its powers) of a given region, as is relevant for the replica construction.
We map this contour into the bulk gravitational theory, and argue that the saddle point solutions of these replica geometries lead to a consistent prescription for computing the field theory Renyi entropies.

Built on

A. Renyi, On Measures of Entropy and Information
1961
Earlier work this paper cites.
J. S. Schwinger, Brownian motion of a quantum oscillator
1961
Earlier work this paper cites.
R. Feynman and J. Vernon, F.L., The Theory of a general quantum system interacting with a linear dissipative system
1963
Earlier work this paper cites.
L. Keldysh, Diagram technique for nonequilibrium processes
1964
Earlier work this paper cites.
E. Farhi, A. H. Guth, and J. Guven, Is It Possible to Create a Universe in the Laboratory by Quantum Tunneling?
1990
Earlier work this paper cites.
V. Iyer and R. M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy
1994
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography
1998
Earlier work this paper cites.
D. T. Son and A. O. Starinets, Minkowski space correlators in AdS / CFT correspondence: Recipe and applications
2002
Earlier work this paper cites.
M. Gutperle and A. Strominger, Space - like branes
2002
Earlier work this paper cites.
C. Herzog and D. Son, Schwinger-Keldysh propagators from AdS/CFT correspondence
2003
Earlier work this paper cites.
J. M. Maldacena, Eternal black holes in anti-de Sitter
2003
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy
2006
Earlier work this paper cites.
D. V. Fursaev, Proof of the holographic formula for entanglement entropy
2006
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Holographic representation of local bulk operators
2006
Earlier work this paper cites.