Arpan Bhattacharyya, Aninda Sinha
We consider entanglement entropy in the context of gauge/gravity duality for conformal field theories in even dimensions. The holographic prescription due to Ryu and Takayanagi (RT) leads to an equation describing how the entangling surface extends into the bulk geometry. We find that if we compute the holographic stress tensor on the entangling surface at arbitrary times, then demanding the time-time component to vanish, coincides with the equation for the surface that follows from the RT prescription. Motivated by this observation, we turn to a field theory calculation involving the ultraviolet divergences of quantum field theory in curved backgrounds to determine how the entangling surface extends into the bulk geometry. We also find that the on-shell Gibbons-Hawking surface term evaluated on the entangling surface has the correct structure for the entanglement entropy.
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http://arxiv.org/abs/1303.1884
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