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20102014201820222025020406080100
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