Double-Trace Deformations and Entanglement Entropy in AdS

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.

arXiv comment24 pages; v3, a comment and references added

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Cited by in corpus (11)

• Quantum Corrections to Holographic Mutual Information
• Freelance Holography, Part I: Setting Boundary Conditions Free in Gauge/Gravity Correspondence
• Entanglement entropy for free scalar fields in AdS
• Target space entanglement in quantum mechanics of fermions and matrices
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• Phases of theories with fermions in AdS
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