Timelike entanglement entropy

Doi, Kazuki; Harper, Jonathan D.; Mollabashi, Ali; Takayanagi, Tadashi; Taki, Yusuke

doi:10.48550/arxiv.2302.11695

Cited by 2 publications

(3 citation statements)

References 63 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In[1], to derive the dual bulk metric from the CFT 2 EE, the timelike EE is practically used in step 5, by mapping the spacelike EE back and forth between the finite size system and the finite temperature system. This confirms the concern raised in Ref [10]. that the time coordinate can also emerge from EE.…”

supporting

confidence: 90%

See 1 more Smart Citation

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

Jiang¹,

Wang²,

Wu³

et al. 2023

Preprint

View full text Add to dashboard Cite

In a previous work [1] about the T T deformed CFT 2 , from the consistency requirement of the entanglement entropy, we found that in addition to the usual spacelike entanglement entropy, a timelike entanglement entropy must be introduced and treated equally. Motivated 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 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, referred to as the general entanglement entropy, for characterizing deformed systems from the quantum information perspective.

show abstract

supporting

confidence: 90%

“…Remarkably, such a timelike EE has been specifically defined via analytical continuation and the bulk dual has been explicitly provided in Ref. [10,11] recently. Rather than real-valued as the spacelike EE, the timelike EE is a complex-valued quantity.…”

Section: Introductionmentioning

confidence: 99%

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

Jiang¹,

Wang²,

Wu³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…[42] for a previous attempt. As was done in [8,9,[43][44][45][46][47], quantum information quantities are useful to examine the properties of dS gravity and its holography. We would like to comment on them as well.…”

mentioning

confidence: 99%

Complex saddles of three-dimensional de Sitter gravity via holography

Chen¹,

Hikida²,

Taki³

et al. 2023

Preprint

View full text Add to dashboard Cite

We determine complex saddles of three-dimensional gravity with positive cosmological constant by applying the recently proposed holography. It is sometimes useful to consider complexified metric to study quantum gravity as in the case of no-boundary proposal by Hartle and Hawking. However, there would be too many saddles for complexified gravity, and we should determine which saddles to take. We describe the gravity theory by three-dimensional SL(2, C) Chern-Simons theory. At the leading order in the Newton constant, its holographic dual is given by Liouville theory with large imaginary central charge. We examine geometry with a conical defect, called as de Sitter black hole, from Liouville two-point function. We also consider geometry with two conical defects, whose saddles are determined by the monodromy matrix of Liouville four-point function. Utilizing Chern-Simons description, we extend the similar analysis to the case with higher-spin gravity.

show abstract

Timelike entanglement entropy

Cited by 2 publications

References 63 publications

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

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

Complex saddles of three-dimensional de Sitter gravity via holography

Contact Info

Product

Resources

About