Pathologies in Lovelock AdS black branes and AdS/CFT

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