Pseudoentropy in dS/CFT and Timelike Entanglement Entropy

We study holographic entanglement entropy in dS/CFT and introduce timelike entanglement entropy in CFTs. Both of them take complex values in general and are related with each other via an analytical continuation. We argue that they are correctly understood as pseudoentropy. We find that the imaginary part of pseudoentropy implies an emergence of time in dS/CFT.

Automated summary

We study holographic entanglement entropy in dS/CFT and timelike entanglement entropy in CFTs, which both take complex values and are related via analytical continuation. We argue that they should be correctly understood as pseudoentropy. We find that the imaginary part of pseudoentropy implies an emergence of time in dS/CFT.