We study how entanglement spreads in the boundary duals of finitecutoff threedimensional theories with positive, negative and zero cosmological constant, the
We study the entanglement phase structure of a holographic boundary conformal field theory (BCFT) in a twodimensional black hole background. The bulk dual is the AdS_{3}black string geometry with a KarchRandall brane. We compute the subregion entanglement entropy of various twosided bipartitions to elucidate the phase space where a Page curve exists in this setup. We do fully analytical computations on both the gravity side and the field theory side and demonstrate that the results precisely match. We discuss the entanglement phase structure describing where a Page curve exists in this geometry in the context of these analytical results. This is a useful model to study entanglement entropy for quantum field theory on a curved background.
more » « less Award ID(s):
 1915071
 NSFPAR ID:
 10486496
 Publisher / Repository:
 SISSA
 Date Published:
 Journal Name:
 Journal of High Energy Physics
 Volume:
 2022
 Issue:
 12
 ISSN:
 10298479
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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