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arXiv · 1708.07982

Breakdown of the Equal Area Law for Holographic Entanglement Entropy

Fiona McCarthy·David Kubiznak·Robert B. Mann
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Abstract

We investigate a holographic version of Maxwell's equal area law analogous to that for the phase transition in the black hole temperature/black hole entropy plane of a charged AdS black hole. We consider proposed area laws for both the black hole temperature/holographic entanglement entropy plane and the black hole temperature/2-point correlation function plane. Despite recent claims to the contrary, we demonstrate numerically that neither proposal is valid. We argue that there is no physical reason to expect such a construction in these planes.

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Fiona McCarthy, David Kubiznak, Robert B. Mann. 2017-11-07. Breakdown of the Equal Area Law for Holographic Entanglement Entropy. https://doi.org/10.1007/jhep11(2017)165

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