Renormalized holographic entanglement entropy for quadratic curvature gravity

Giorgos Anastasiou, Ignacio J. Araya, Javier Moreno, Rodrigo Olea, David Rivera-Betancour

Research output: Contribution to journalArticlepeer-review

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Abstract

We derive a covariant expression for the renormalized holographic entanglement entropy for conformal field theories (CFTs) dual to quadratic curvature gravity in arbitrary dimensions. This expression is written as the sum of the bare entanglement entropy functional obtained using standard conical defect techniques, and a counterterm defined at the boundary of the extremal surface of the functional. The latter corresponds to the cod-2 self-replicating part of the extrinsic counterterms when evaluated on the replica orbifold. This renormalization method isolates the universal terms of the holographic entanglement entropy functional. We use it to compute the standard -function candidate for CFTs of arbitrary dimension, and the type-B anomaly coefficient for four-dimensional CFTs.

Original languageEnglish
Article number086003
JournalPhysical Review D
Volume104
Issue number8
DOIs
StatePublished - 15 Oct 2021
Externally publishedYes

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