A Toy Model of the Information Paradox in Empty Space

Suvrat Raju

SciPost Phys. 6, 073 (2019) · published 24 June 2019


A sharp version of the information paradox involves a seeming violation of the monogamy of entanglement during black hole evaporation. We construct an analogous paradox in empty anti-de Sitter space. In a local quantum field theory, Bell correlations between operators localized in mutually spacelike regions are monogamous. We show, through a controlled calculation, that this property can be violated by an order-1 factor in a theory of gravity. This example demonstrates that what appears to be a violation of the monogamy of entanglement may just be a subtle violation of locality in quantum gravity.

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Anti-de Sitter (AdS) space Black holes Entanglement Gravity Quantum field theory (QFT)

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