Pathologies in Lovelock AdS Black Branes and AdS/CFT

TL;DR

This paper investigates the various pathologies of AdS black branes in Lovelock gravity, highlighting their implications for the stability and physical consistency of the dual conformal field theories via AdS/CFT.

Contribution

It systematically analyzes conditions leading to naked singularities, ghost, and dynamical instabilities in Lovelock AdS black branes, emphasizing their impact on the dual CFTs.

Findings

Identification of conditions for naked singularities in Lovelock AdS black branes.

Analysis of ghost and dynamical instabilities in these black branes.

Implications for the validity of AdS/CFT applications in Lovelock gravity.

Abstract

We study the pathologies in AdS black branes in Lovelock theory. More precisely, we examine the conditions that AdS black branes have the naked singularity, the ghost instability and the dynamical instability. From the point of view of the AdS/CFT correspondence, the pathologies in AdS black branes indicate the pathologies in the corresponding CFT. Hence, we need to be careful when we apply AdS/CFT in Lovelock theory to various phenomena such as the shear viscosity to entropy ratio in strongly coupled quantum filed theory.