Towards a derivation of holographic entanglement entropy

2011/02/27 by Horacio Casini, Marina Huerta, Robert C. Myers · 6 citations
Physics and Astronomy · #hep-th #gr-qc

paper · pdf · doi:10.1007/jhep05(2011)036

published as JHEP 1105:036,2011 · 42 pages, 2 figures, few new ref's and comments added

arxiv created 2011/02/27 · arxiv updated 2011/05/12

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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