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Comments on black hole interiors and modular inclusions

by Ro Jefferson

Submission summary

As Contributors: Ro Jefferson
Arxiv Link:
Date submitted: 2019-01-31
Submitted by: Jefferson, Ro
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: High-Energy Physics - Theory


We show how the traversable wormhole induced by a double-trace deformation of the thermofield double state can be understood as a modular inclusion of the algebras of exterior operators. The effect of this deformation is the creation of a new region of spacetime deep in the bulk, corresponding to a non-trivial center between the left and right algebras. This set-up provides a precise framework for investigating how black hole interiors are encoded in the CFT. In particular, we use modular theory to demonstrate that state dependence is an inevitable feature of any attempt to represent operators behind the horizon. We suggest that this provides an ontological basis for the success of quantum error correction (QEC) in holography. Building on this geometrical structure, we propose that modular inclusions may provide a more precise means of investigating the nascent relationship between entanglement and geometry in the context of the emergent spacetime paradigm.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1811.08900v2 (31 January 2019)

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