Towards a derivation of holographic entanglement entropy

Details Towards a derivation of holographic entanglement entropy Towards a derivation of holographic entanglement entropy

2011-02-02

arxiv.org/abs/1102.0440v2

JHEP 1105:036,2011

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, 2 figures, few new ref's and comments added

Scientific paper

10.1007/JHEP05(2011)036

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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