2010

Entanglement Renyi entropies in holographic theories

Headrick, Matthew

Understand

Ryu and Takayanagi conjectured a formula for the entanglement (von Neumann) entropy of an arbitrary spatial region in an arbitrary holographic field theory.

The von Neumann entropy is a special case of a more general class of entropies called Renyi entropies.
Using Euclidean gravity, Fursaev computed the entanglement Renyi entropies (EREs) of an arbitrary spatial region in an arbitrary holographic field theory, and thereby derived the RT formula.
We point out, however, that his EREs are incorrect, since his putative saddle points do not in fact solve the Einstein equation.

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