Puzzles and pitfalls involving Haar-typicality in holography

Ning Bao, Aidan Chatwin-Davies

SciPost Phys. 4, 033 (2018) · published 19 June 2018

Abstract

Holographic states that have a well-defined geometric dual in AdS/CFT are not faithfully represented by Haar-typical states in finite-dimensional models. As such, trying to apply principles and lessons from Haar-random ensembles of states to holographic states can lead to apparent puzzles and contradictions. We point out a handful of these pitfalls.


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AdS/CFT correspondence Haar typicality Holography

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