Entanglement entropy of black holes and AdS/CFT correspondence

Jun, 2006
5 pages
Published in:
  • Phys.Rev.Lett. 97 (2006) 201601
e-Print:

Citations per year

200620112016202120240246810
Abstract:
A recent proposal by Ryu and Takayanagi for a holographic interpretation of entanglement entropy in conformal field theories dual to supergravity on anti-de Sitter (adS) is generalized to include entanglement entropy of black holes living on the boundary of adS. The generalized proposal is verified in boundary dimensions d=2d=2 and d=4d=4 for both the UV divergent and UV finite terms. In dimension d=4d=4 an expansion of entanglement entropy in terms of size LL of the subsystem outside the black hole is considered. A new term in the entropy of dual strongly coupled CFT, which universally grows as L2lnLL^2\ln L and is proportional to the value of the obstruction tensor at the black hole horizon, is predicted.
  • 11.25.Tq
  • 03.65.Ud
  • 04.70.Dy
  • 11.25.Hf
  • black hole
  • entropy: entanglement
  • space-time: anti-de Sitter
  • field theory: conformal
  • dimension: 2
  • dimension: 4