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Refining Generalized Entropy

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The Ryu-Takayanagi proposal in AdS/CFT hints to a deep role of entanglement entropy in the mechanism of holography. Lewkowycz and Maldacena have given a derivation of this proposal in a construction called ‘generalized entropy’. The ingredients of generalized entropy are Euclidean quantum gravity and the replica trick in the dual theory. I will review the original construction and some recent refinements of it. These refinements (1) still use the replica trick, but drop the assumption of replica symmetry—-thus showing that Ryu-Takayangi follows independently from it; and (2) are essential for the construction to work away from the general relativity limit of holography.

This talk is part of the DAMTP Friday GR Seminar series.

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