Holographic Entanglement Entropy in Lovelock Gravities

TL;DR

This paper investigates holographic entanglement entropy in Lovelock gravities, analyzing conformal anomalies, slab geometries, and RG flow backgrounds to understand entropy behavior and implications for c-theorems.

Contribution

It provides the first detailed holographic entanglement entropy calculations in Lovelock gravities, including Gauss-Bonnet and cubic cases, and explores their physical implications.

Findings

Logarithmic terms linked to conformal anomalies.

Consistent holographic calculations with conformal properties.

Insights into entanglement entropy in RG flow backgrounds.

Abstract

We study entanglement entropies of simply connected surfaces in field theories dual to Lovelock gravities. We consider Gauss-Bonnet and cubic Lovelock gravities in detail. In the conformal case the logarithmic terms in the entanglement entropy are governed by the conformal anomalies of the CFT; we verify that the holographic calculations are consistent with this property. We also compute the holographic entanglement entropy of a slab in the Gauss-Bonnet examples dual to relativistic and non-relativistic CFTs and discuss its properties. Finally, we discuss features of the entanglement entropy in the backgrounds dual to renormalization group flows between fixed points and comment on the implications for a possible c-theorem in four spacetime dimensions.