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The Large N limit of superconformal field theories and supergravity
Juan Martin Maldacena · 1998
Earlier work this paper cites.
Expectation value of composite field T anti-T in two-dimensional quantum field theory
Alexander B. Zamolodchikov · 2004
Earlier work this paper cites.
Entanglement entropy and quantum field theory
Pasquale Calabrese and John L. Cardy · 2004
Earlier work this paper cites.
Holographic derivation of entanglement entropy from AdS/CFT
Shinsei Ryu and Tadashi Takayanagi · 2006
Earlier work this paper cites.
Entanglement entropy and conformal field theory
Original
Pasquale Calabrese and John Cardy · 2009
Earlier work this paper cites.
Note on higher-point correlation functions of the T T ¯ T\bar{T} or J T ¯ J\bar{T} deformed CFTs
Original
Song He · 2012
Earlier work this paper cites.
Extremal surfaces in de Sitter spacetime
Original
K. Narayan · 2015
Earlier work this paper cites.

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2023

Timelike entanglement entropy and $T\bar{T}$ deformation

Jiang, Xin, Wang, Peng, Wu, Houwen et al.

Understand

In a previous work arXiv:1811.07758 about the $T\bar{T}$ deformed CFT$_2$, from the consistency requirement of the entanglement entropy theory, we found that in addition to the usual spacelike entanglement entropy, a timelike entanglement entropy must be introduced and treated equally.

Inspired by the recent explicit constructions of the timelike entanglement entropy and its bulk dual, we provide a comprehensive analysis of the timelike and spacelike entanglement entropies in the $T\bar{T}$ deformed finite size system and finite temperature system.
The results confirm our prediction that in the finite size system only the timelike entanglement entropy receives a correction, while in the finite temperature system only the usual spacelike entanglement entropy gets a correction.
These findings affirm the necessity of a complete measure including both spacelike and timelike entanglement entropies.

Built on

The Large N limit of superconformal field theories and supergravity
Juan Martin Maldacena · 1998
Earlier work this paper cites.
Expectation value of composite field T anti-T in two-dimensional quantum field theory
Alexander B. Zamolodchikov · 2004
Earlier work this paper cites.
Entanglement entropy and quantum field theory
Pasquale Calabrese and John L. Cardy · 2004
Earlier work this paper cites.
Holographic derivation of entanglement entropy from AdS/CFT
Shinsei Ryu and Tadashi Takayanagi · 2006
Earlier work this paper cites.
Entanglement entropy and conformal field theory
Original
Pasquale Calabrese and John Cardy · 2009
Earlier work this paper cites.
Note on higher-point correlation functions of the T T ¯ T\bar{T} or J T ¯ J\bar{T} deformed CFTs
Original
Song He · 2012
Earlier work this paper cites.
Extremal surfaces in de Sitter spacetime
Original
K. Narayan · 2015
Earlier work this paper cites.