Renormalized holographic entanglement entropy for Quadratic Curvature Gravity

TL;DR

This paper develops a covariant renormalization method for holographic entanglement entropy in Quadratic Curvature Gravity, enabling the extraction of universal terms and computation of CFT invariants across dimensions.

Contribution

It introduces a novel covariant renormalization approach for holographic entanglement entropy applicable to Quadratic Curvature Gravity in any dimension.

Findings

Derived a covariant expression for renormalized holographic entanglement entropy.

Computed the C-function candidate for CFTs of arbitrary dimension.

Calculated the type-B anomaly coefficient c for 4D CFTs.

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 C-function candidate for CFTs of arbitrary dimension, and the type-B anomaly coefficient c for 4-dimensional CFTs.