Holographic entanglement entropy in renormalized Lovelock-AdS

Octubre 13, 2020
De 11:30am hasta 1:00pm

IFT Seminar Room/Red Room

Specialist level
Speaker: 
Ignacio Araya
Institution: 
UNAB
Location&Place: 

IFT Seminar Room/Red Room

Abstract: 

We compute renormalized holographic entanglement entropy (HEE) of CFTs with Lovelock-AdS gravity duals. On the gravity side, the computation considers counterterms which depend on the extrinsic curvature of the boundary and the use of the replica trick to express the HEE in terms of the gravity action evaluated on a squashed cone. Using the self-replicating property of Lovelock densities evaluated on cones, the Jacobson-Myers (JM) functional is shown to emerge naturally as the correct HEE functional for Lovelock gravity. The universal part of the HEE is then obtained by renormalizing the JM functional adding the cod-2 extrinsic counterterm. For ball-shaped entangling regions, the universal part of the HEE is proportional to the C-function candidate of the CFT.