What are the differences (if any) between Generalized gravitational entropy (Lewkowycz-Maldacena) and holographic entanglement entropy (Ryu-Takayanagi)?

More specifically, I was wondering following the same procedure in the appendix A of Lewkowycz-Maldacena paper shouldn't one reproduce the usual correction to EE due to a "heavy operator" (whose dimension is fixed by the mass of the bulk scalar field) in the dual 2D CFT?

This post imported from StackExchange Physics at 2015-08-25 07:19 (UTC), posted by SE-user pinu