Geometric interpretation of holographic timelike entanglement entropy
APA
(2024). Geometric interpretation of holographic timelike entanglement entropy. SciVideos. https://youtu.be/fitXYcW9sOA
MLA
Geometric interpretation of holographic timelike entanglement entropy. SciVideos, Aug. 29, 2024, https://youtu.be/fitXYcW9sOA
BibTex
@misc{ scivideos_ICTS:29451, doi = {}, url = {https://youtu.be/fitXYcW9sOA}, author = {}, keywords = {}, language = {en}, title = {Geometric interpretation of holographic timelike entanglement entropy}, publisher = {}, year = {2024}, month = {aug}, note = {ICTS:29451 see, \url{https://scivideos.org/icts-tifr/29451}} }
Abstract
Analytic continuations of areas of Ryu-Takayanagi surfaces in which the boundary subregion becomes extended along a timelike direction brought a promise of a novel, time-centric probe of the emergence of spacetime. We propose that the bulk carrier of this holographic timelike entanglement entropy are boundary-anchored extremal surfaces probing analytic continuation of holographic spacetimes into complex coordinates. This not only provides a geometric interpretation of all the known cases obtained by direct analytic continuation of closed form expressions of holographic entanglement entropy of a strip subregion, but crucially also opens a window to study holographic timelike entanglement entropy in full generality. To better understand what the prescription for holographic timelike entanglement entropy entails we study complex extremal surfaces anchored on a timelike strip on the boundary of anti-de Sitter black hole spacetimes. Our investigation reveals the existence of multiple comple...