Built on

J. D. Bekenstein, Black holes and the second law , Lettere al Nuovo Cimento 4
1972
Earlier work this paper cites.
J. D. Bekenstein, Black holes and entropy , Phys. Rev. D 7
1973
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
V. Balasubramanian and S. F. Ross, Holographic particle detection , Phys. Rev. D 61
2000
Earlier work this paper cites.
J. M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models , JHEP 05
2003
Earlier work this paper cites.
J. M. Maldacena, Eternal black holes in anti-de Sitter , JHEP 04
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.
Y. Nakata, T. Takayanagi, Y. Taki, K. Tamaoka and Z. Wei, New holographic generalization of entanglement entropy , Phys. Rev. D 103
Original
2005
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.
V. E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal , JHEP 07
Original
2007
Earlier work this paper cites.

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2022

On holographic time-like entanglement entropy

Li, Ze, Xiao, Zi-Qing, Yang, Run-Qiu

Understand

In order to study the pseudo entropy of time-like subregions holographically, the previous smooth space-like extremal surface was recently generalized to mix space-like and time-like segments and the area becomes complex value.

This paper finds that, if one tries to use such kind of piecewise smooth extremal surfaces to compute time-like entanglement entropy holographically, the complex area is not unique in general.
We then generalize the original holographic proposal of space-like entanglement entropy to pick up a unique area from all allowed ``space-like+time-like'' piecewise smooth extremal surfaces for a time-like subregion.
We will give some concrete examples to show the correctness of our proposal.

Built on

J. D. Bekenstein, Black holes and the second law , Lettere al Nuovo Cimento 4
1972
Earlier work this paper cites.
J. D. Bekenstein, Black holes and entropy , Phys. Rev. D 7
1973
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
V. Balasubramanian and S. F. Ross, Holographic particle detection , Phys. Rev. D 61
2000
Earlier work this paper cites.
J. M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models , JHEP 05
2003
Earlier work this paper cites.
J. M. Maldacena, Eternal black holes in anti-de Sitter , JHEP 04
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.
Y. Nakata, T. Takayanagi, Y. Taki, K. Tamaoka and Z. Wei, New holographic generalization of entanglement entropy , Phys. Rev. D 103
Original
2005
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.
V. E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal , JHEP 07
Original
2007
Earlier work this paper cites.