Towards a derivation of holographic entanglement entropy
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 Atype trace anomaly for any CFT, without reference to holography.
 Publication:

Journal of High Energy Physics
 Pub Date:
 May 2011
 DOI:
 10.1007/JHEP05(2011)036
 arXiv:
 arXiv:1102.0440
 Bibcode:
 2011JHEP...05..036C
 Keywords:

 AdSCFT Correspondence;
 Holography and condensed matter physics (AdS/CMT);
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 42 pages, 2 figures, few new ref's and comments added