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Online Workshop "Frontiers of Holographic Duality-5"
December 5, 2023 15:00–15:55, Moscow, Steklov Mathematical Institute, online
 


Timelike Entanglement Entropy

A. Mollabashi

Institute for Research in Fundamental Sciences
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MP4 176.1 Mb

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Abstract: Motivated by the geometrical understanding of quantum information measures in AdS/CFT, I will introduce a two-state generalization of von Neumann entropy known as pseudo-entanglement entropy as well as a novel quantity corresponding to timelike regions on the CFT side which we call “timelike entanglement entropy” (TEE). It turns out that TEE is a special case of pseudo-entanglement entropy. Concrete definitions on the CFT side together with a prescription to calculate TEE in 2d free quantum field theories will be introduced, which contains some clues about how to understand TEE in quantum information theory. I will also introduce our first version of a holographic prescription to calculate TEE in AdS3/CFT2 and address how TEE in AdS3/CFT2 is related to EE in dS3/CFT2.

Language: English
 
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