Built on

H. Araki and E. Lieb, Entropy inequalities
1970
Earlier work this paper cites.
PhD thesis, University of Cambridge, 1989
D. Giulini, 3-manifolds in canonical quantum gravity · 1989
Earlier work this paper cites.
M. Banados, C. Teitelboim, and J. Zanelli, The Black hole in three-dimensional space-time
1992
Earlier work this paper cites.
M. Banados, M. Henneaux, C. Teitelboim, and J. Zanelli, Geometry of the (2+1) black hole
1993
Earlier work this paper cites.
J. L. Friedman, K. Schleich, and D. M. Witt, Topological censorship
1993
Earlier work this paper cites.
D. R. Brill, Multi - black hole geometries in (2+1)-dimensional gravity
1996
Earlier work this paper cites.
S. Aminneborg, I. Bengtsson, D. Brill, S. Holst, and P. Peldan, Black holes and wormholes in (2+1)-dimensions
1998
Earlier work this paper cites.
S. Aminneborg, I. Bengtsson, and S. Holst, A Spinning anti-de Sitter wormhole
1999
Earlier work this paper cites.
J. Louko and D. Marolf, Single exterior black holes and the AdS / CFT conjecture
1999
Earlier work this paper cites.

Similar

D. Brill, Black holes and wormholes in (2+1)-dimensions
2000
Cited alongside, same era.
K. Krasnov, Holography and Riemann surfaces
2000
Cited alongside, same era.
J. M. Maldacena, Eternal black holes in anti-de Sitter
2003
Cited alongside, same era.
S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy
2006
Cited alongside, same era.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT
2006
Cited alongside, same era.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, A Covariant holographic entanglement entropy proposal
Original
2007
Cited alongside, same era.

Then

V. E. Hubeny and M. Rangamani, Causal Holographic Information
Original
2012
Later among the works it cites.
T. Hartman and J. Maldacena, Time Evolution of Entanglement Entropy from Black Hole Interiors
Original
2013
Later among the works it cites.
I. A. Morrison and M. M. Roberts, Mutual information between thermo-field doubles and disconnected holographic boundaries
Original
2013
Later among the works it cites.
V. E. Hubeny, H. Maxfield, M. Rangamani, and E. Tonni, Holographic entanglement plateaux
Original
2013
Later among the works it cites.
V. Balasubramanian, P. Hayden, A. Maloney, D. Marolf, and S. F. Ross, Multiboundary Wormholes and Holographic Entanglement
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2014

Entanglement entropy in three dimensional gravity

Maxfield, Henry

Understand

The Ryu-Takayanagi and covariant Hubeny-Rangamani-Takayanagi proposals relate entanglement entropy in CFTs with holographic duals to the areas of minimal or extremal surfaces in the bulk geometry.

We show how, in three dimensional pure gravity, the relevant regulated geodesic lengths can be obtained by writing a spacetime as a quotient of AdS3, with the problem reduced to a simple purely algebraic calculation.
We explain how this works in both Lorentzian and Euclidean formalisms, before illustrating its use to obtain novel results in a number of examples, including rotating BTZ, the RP2 geon, and several wormhole geometries.
This includes spatial and temporal dependence of single-interval entanglement entropy, despite these symmetries being broken only behind an event horizon.

Built on

H. Araki and E. Lieb, Entropy inequalities
1970
Earlier work this paper cites.
PhD thesis, University of Cambridge, 1989
D. Giulini, 3-manifolds in canonical quantum gravity · 1989
Earlier work this paper cites.
M. Banados, C. Teitelboim, and J. Zanelli, The Black hole in three-dimensional space-time
1992
Earlier work this paper cites.
M. Banados, M. Henneaux, C. Teitelboim, and J. Zanelli, Geometry of the (2+1) black hole
1993
Earlier work this paper cites.
J. L. Friedman, K. Schleich, and D. M. Witt, Topological censorship
1993
Earlier work this paper cites.
D. R. Brill, Multi - black hole geometries in (2+1)-dimensional gravity
1996
Earlier work this paper cites.
S. Aminneborg, I. Bengtsson, D. Brill, S. Holst, and P. Peldan, Black holes and wormholes in (2+1)-dimensions
1998
Earlier work this paper cites.
S. Aminneborg, I. Bengtsson, and S. Holst, A Spinning anti-de Sitter wormhole
1999
Earlier work this paper cites.
J. Louko and D. Marolf, Single exterior black holes and the AdS / CFT conjecture
1999
Earlier work this paper cites.

Similar

D. Brill, Black holes and wormholes in (2+1)-dimensions
2000
Cited alongside, same era.
K. Krasnov, Holography and Riemann surfaces
2000
Cited alongside, same era.
J. M. Maldacena, Eternal black holes in anti-de Sitter
2003
Cited alongside, same era.
S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy
2006
Cited alongside, same era.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT
2006
Cited alongside, same era.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, A Covariant holographic entanglement entropy proposal
Original
2007
Cited alongside, same era.