BCFT in a Black Hole Background: An Analytical Holographic Model

Abstract

We study the entanglement phase structure of a holographic boundary conformal field theory (BCFT) in a two-dimensional black hole background. The bulk dual is the AdS${}_3$ black string geometry with a Karch-Randall brane. We compute the subregion entanglement entropy of various two-sided 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.

30 pages, 11 figures, comments and references are welcomed

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• Infrared Regularization and Finite Size Dynamics of Entanglement Entropy in Schwarzschild Black Hole
• Hartle-Hawking state and its factorization in 3d gravity
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• Holographic complexity: braneworld gravity versus the Lloyd bound
• Holographic Boundary Conformal Field Theory within Horndeski Gravity
• Graviscalar quasinormal modes and asymptotic tails of a thick brane
• Compactified extra dimension and entanglement island as clues to quantum gravity
• On the uplift of 4D wormholes in Braneworld models and their 5D structure
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• Entanglement, defects, and $T\bar{T}$ on a black hole background
• Renyi reflected entropy and entanglement wedge cross section with cosmic branes in AdS/BCFT