2006/06/30 by Sergey N. Solodukhin · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #cond-mat.stat-mech #gr-qc #hep-th #math.DG #quant-ph
paper · pdf · doi:10.1103/physrevlett.97.201601
published as Phys.Rev.Lett. 97 (2006) 201601 · 5 pages; minor typos corrected, minor changes in text. Version accepted for publication in Phys. Rev. Lett
arxiv created 2006/10/10 · openalex publication_date 2006/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.