Quantum corrections to holographic entanglement entropy

Question

I was looking at this paper by Faulkner-Lewkowycz-Maldacena. They give a very interesting proposal of calculating one loop (i.e, 1/N) correction to EE from computing the EE between the bulk regions. The proposal is really fascinating. But I didn't quite realize few things.

1. What was the motivation behind this proposal? I mean why should one expect that 'this quantity' must be 1/N corrections?

2. What exactly one has to compute in the bulk geometry? They have some examples in the paper but I couldn't understand how to calculate the EE between bulk regions. Can someone refer to some articles where some concrete calculations have been done in this direction?

This post imported from StackExchange Physics at 2015-08-25 07:22 (UTC), posted by SE-user pinu

Comments

holographic EE via Ryu-Takayanagi is a statement that EE is given by areas of classical bulk geometry. Classical geometry is only an approximation to the bulk quantum gravity theory that only works in the large N limit, hence one would naturally expect quantum corrections.

This post imported from StackExchange Physics at 2015-08-25 07:22 (UTC), posted by SE-user bechira

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@bechira I understand why there should be quantum corrections. I was wondering why that particular quantity should be the one loop correction? Is there any easier (may be very naive) way to see this?

This post imported from StackExchange Physics at 2015-08-25 07:22 (UTC), posted by SE-user pinu

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Are you asking whether there's a easier way to do what they do in section 2.2 of that paper? If that's the case I doubt it.

This post imported from StackExchange Physics at 2015-08-25 07:22 (UTC), posted by SE-user bechira

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Yes. Usually people conjecture something with some motivations/anticipations. Those may be very crude or naive. I didn't realize why one even should expect such a thing! May be I am not smart enough. :)

This post imported from StackExchange Physics at 2015-08-25 07:22 (UTC), posted by SE-user pinu