English

A note on the kinematic space associated with a subregion

High Energy Physics - Theory 2020-02-25 v2

Abstract

We discuss the issue in constructing the kinematic space of the geodesics lying partially inside the entanglement wedge associated with a single interval. We then resolve the problem by working with the equivalent kinematic space of the reflected geodesics. We also show that the length of a reflected geodesic corresponds to the (generalized) reflected entropy, which can be computed using entirely the information obtained from the reduced density matrix, satisfying the requirement of the subregion-subregion duality.

Keywords

Cite

@article{arxiv.2001.10170,
  title  = {A note on the kinematic space associated with a subregion},
  author = {Xing Huang},
  journal= {arXiv preprint arXiv:2001.10170},
  year   = {2020}
}

Comments

28 pages, 7 figures. v2: minor clarifications and references added, typos fixed

R2 v1 2026-06-23T13:22:32.669Z