Double-Trace Deformations and Entanglement Entropy in AdS
Taiki Miyagawa, Noburo Shiba, Tadashi Takayanagi

TL;DR
This paper investigates how double-trace deformations affect entanglement entropy in AdS/CFT, providing explicit calculations for bulk scalar fields and predictions for higher-dimensional cases.
Contribution
It presents the first detailed holographic computation of entanglement entropy changes due to double-trace deformations, including quantum back reaction effects.
Findings
Agreement with known 2D CFT results
Holographic predictions for higher dimensions
Quantitative analysis of back reaction effects
Abstract
We compute the bulk entanglement entropy of a massive scalar field in a Poincare AdS with the Dirichlet and Neumann boundary condition when we trace out a half space. Moreover, by taking into account the quantum back reaction to the minimal surface area, we calculate how much the entanglement entropy changes under a double-trace deformation of a holographic CFT. In the AdS3/CFT2 setup, our result agrees with the known result in 2d CFTs. In higher dimensions, our results offer holographic predictions.
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