English

Subregion duality, wedge classification and no global symmetries in AdS/CFT

High Energy Physics - Theory 2025-01-14 v2

Abstract

We study various notions of `subregion duality' in the context of AdS/CFT. We highlight the differences between the `background wedge' and the `operator reconstruction wedges,' providing a resolution to the paradox raised in \cite{Bao:2019hwq}. Additionally, we elucidate the distinctions between four different `operator reconstruction wedges' and demonstrate how to enhance the proof for the absence of global symmetries in geometrical states in AdS/CFT \cite{Harlow:2018jwu, Harlow:2018tng} as an example of these distinctions.

Keywords

Cite

@article{arxiv.2408.04016,
  title  = {Subregion duality, wedge classification and no global symmetries in AdS/CFT},
  author = {Ning Bao and Yikun Jiang and Joydeep Naskar},
  journal= {arXiv preprint arXiv:2408.04016},
  year   = {2025}
}

Comments

v1 7 pages, 5 figures; v2 8 pages, 6 figures, discussion on Python's lunch geometry added. (version accepted in JHEP)