Renormalized holographic entanglement entropy in Lovelock gravity

Understand

We study the renormalization of Entanglement Entropy in holographic CFTs dual to Lovelock gravity.

• It is known that the holographic EE in Lovelock gravity is given by the Jacobson-Myers (JM) functional.
• As usual, due to the divergent Weyl factor in the Fefferman-Graham expansion of the boundary metric for Asymptotically AdS spaces, this entropy functional is infinite.
• By considering the Kounterterm renormalization procedure, which utilizes extrinsic boundary counterterms in order to renormalize the on-shell Lovelock gravity action for AAdS spacetimes, we propose a new renormalization prescription for the Jacobson-Myers functional.