Higher Derivative Corrections to Holographic Entanglement Entropy for AdS Solitons

TL;DR

This paper explores how higher derivative corrections influence holographic entanglement entropy in AdS soliton geometries across various theories, revealing their impact on phase transitions.

Contribution

It provides the first detailed analysis of higher derivative effects on holographic entanglement entropy in AdS solitons across multiple string and M-theory setups.

Findings

Higher derivative corrections modify entanglement entropy calculations.

The confinement/deconfinement phase transition is affected by these corrections.

Explicit calculations are performed for AdS5, AdS4, and AdS7 geometries.

Abstract

We investigate the behaviors of holographic entanglement entropy for AdS soliton geometries in the presence of higher derivative corrections. We calculate the leading higher derivative corrections for the AdS5 setup in type IIB string and for the AdS4,7 ones in M-theory. We also study the holographic entanglement entropy in Gauss-Bonnet gravity and study how the confinement/deconfinement phase transition observed in AdS solitons is affected by the higher derivative corrections.