Calibrated Entanglement Entropy
Abstract
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 AdS geometries. We briefly discuss generalisations to higher dimensions.
Cite
@article{arxiv.1705.08319,
title = {Calibrated Entanglement Entropy},
author = {I. Bakhmatov and N. S. Deger and J. Gutowski and E. Ó Colgáin and H. Yavartanoo},
journal= {arXiv preprint arXiv:1705.08319},
year = {2017}
}
Comments
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