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arXiv · 1102.0440

Towards a derivation of holographic entanglement entropy

Horacio Casini·Marina Huerta·Robert C. Myers
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Abstract

We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing that the vacuum state is mapped to a thermal state in the latter geometry. Hence the conformal transformation maps the entanglement entropy to the thermodynamic entropy of this thermal state. The AdS/CFT dictionary allows us to calculate this thermodynamic entropy as the horizon entropy of a certain topological black hole. In even dimensions, we also demonstrate that the universal contribution to the entanglement entropy is given by A-type trace anomaly for any CFT, without reference to holography.

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Horacio Casini, Marina Huerta, Robert C. Myers. 2011-02-02. Towards a derivation of holographic entanglement entropy. https://doi.org/10.1007/jhep05(2011)036

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