2017/05/31 by I. Bakhmatov, N. S. Deger, J. Gutowski +2
Physics and Astronomy · #Anti-de Sitter space #BTZ black hole #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Holography #Holomorphic function #Lagrangian #Minimal surface #Noncommutative and Quantum Gravity Theories #Quantum entanglement #hep-th
paper · pdf · doi:10.1007/jhep07(2017)117
published as JHEP 1707 (2017) 117 · v1 22 pages, 1 figure; v2 appendix improved and moved into the body to show the application of calibrations to find minimal surfaces in warped AdS, matches published version
openalex created_date 2017/06/05 · openalex publication_date 2017/07/01 · arxiv created 2017/07/20 · arxiv updated 2017/09/19 · openalex updated_date 2026/08/05
The Ryu-Takayanagi prescription reduces the problem of calculating entanglement entropy in CFTs to the determination of minimal surfaces in a dual anti-de Sitter geometry. For 3D gravity theories and BTZ black holes, we identify the minimal surfaces as special Lagrangian cycles calibrated by the real part of the holomorphic one-form of a spacelike hypersurface. We show that (generalised) calibrations provide a unified way to determine holographic entanglement entropy from minimal surfaces, which is applicable to warped AdS3 geometries. We briefly discuss generalisations to higher dimensions.