Towards a derivation of holographic entanglement entropy

HORACIO CASINI; MARINA HUERTA; ROBERT MYERS

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

IOP

Año: 2011 vol. 1105 p. 1 - 42

1029-8479

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.