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Renormalized holographic entanglement entropy for Quadratic Curvature Gravity

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arxiv 2102.11242 v2 pith:ENZGB7LF submitted 2021-02-22 hep-th gr-qc

Renormalized holographic entanglement entropy for Quadratic Curvature Gravity

Giorgos Anastasiou , Ignacio J. Araya , Javier Moreno , Rodrigo Olea , David Rivera-Betancour This is my paper
classification hep-th gr-qc
keywords entanglemententropycftsfunctionalholographicarbitrarycurvatureexpression
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 C-function candidate for CFTs of arbitrary dimension, and the type-B anomaly coefficient c for 4-dimensional CFTs.

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Cited by 3 Pith papers

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