Solodukhin Sergey N
School of Engineering and Science, International University Bremen, P.O. Box 750561, Bremen 28759, Germany.
Phys Rev Lett. 2006 Nov 17;97(20):201601. doi: 10.1103/PhysRevLett.97.201601. Epub 2006 Nov 14.
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 space is generalized to include entanglement entropy of black holes living on the boundary of anti-de Sitter space. The generalized proposal is verified in boundary dimensions d=2 and d=4 for both the uv-divergent and uv-finite terms. In dimension d=4 an expansion of entanglement entropy in terms of size L of the subsystem outside the black hole is considered. A new term in the entropy of dual strongly coupled conformal-field theory, which universally grows as L(2)lnL and is proportional to the value of the obstruction tensor at the black hole horizon, is predicted.
柳（Ryu）和高柳（Takayanagi）最近提出了一种在反德西特空间上与超引力对偶的共形场论中对纠缠熵进行全息解释的方法，该方法被推广到包括生活在反德西特空间边界上的黑洞的纠缠熵。对于紫外发散项和紫外有限项，在边界维度d = 2和d = 4中验证了这个广义方法。在维度d = 4中，考虑了黑洞外子系统大小L的纠缠熵展开。预测了对偶强耦合共形场论熵中的一个新项，该项普遍以L(2)lnL的形式增长，并且与黑洞视界处的阻碍张量值成正比。
