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

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.

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

References in corpus (5)

• Holographic representation of local bulk operators
• On the Holographic Dual of a Topological Symmetry Operator
• One-shot holography
• Warping Wormholes with Dust: a Metric Construction of the Python's Lunch
• Reconstruction wedges in $AdS/CFT$ with boundary fractallike structures

Cited by in corpus (2)

• Weaving the (AdS) spaces with partial entanglement entropy threads
• Revisiting holographic codes with fractal-like boundary erasures