Composite AdS geodesics for CFT correlators and timelike entanglement entropy
High Energy Physics - Theory
2025-12-01 v1 General Relativity and Quantum Cosmology
Quantum Physics
Abstract
We study how to recover timelike worldlines in AdS from CFT data as a toy model for holographically reconstructing realistic observers. We give a bulk extremization procedure that determines composite timelike-spacelike geodesics that connect timelike-separated boundary points. The total geodesic length matches the length extracted from CFT correlators at the timelike-separated points. We show agreement in Poincar\'e AdS, for generic boundary points in global AdS, and also for the BTZ solution, in which the timelike segment probes behind the horizon. We refine related methods to compute timelike entanglement entropy in AdS/CFT and recover known results.
Keywords
Cite
@article{arxiv.2511.22168,
title = {Composite AdS geodesics for CFT correlators and timelike entanglement entropy},
author = {Hardik Bohra and Allic Sivaramakrishnan},
journal= {arXiv preprint arXiv:2511.22168},
year = {2025}
}
Comments
4+2 pages, 1 figure