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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McCarthy, F., Kubizňák, D. & Mann, R.B. Breakdown of the equal area law for holographic entanglement entropy. J. High Energ. Phys. 2017, 165 (2017). https://doi.org/10.1007/JHEP11(2017)165
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DOI: https://doi.org/10.1007/JHEP11(2017)165