Towards a derivation of holographic entanglement entropy
Feb, 2011
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Abstract: (arXiv)
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.Note:
- 42 pages, 2 figures, few new ref's and comments added
- AdS-CFT Correspondence
- Holography and condensed matter physics (AdS/CMT)
- entropy: entanglement
- horizon: entropy
- transformation: conformal
- black hole: topological
- sphere
- holography
- AdS/CFT correspondence
- trace anomaly
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