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Title: Puzzles and pitfalls involving Haar-typicality in holography

Journal Article · · SciPost Physics

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.

Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF); Gordon and Betty Moore Foundation
Grant/Contract Number:
SC0011632
OSTI ID:
1454886
Alternate ID(s):
OSTI ID: 1597657
Journal Information:
SciPost Physics, Journal Name: SciPost Physics Journal Issue: 6 Vol. 4; ISSN 2542-4653
Publisher:
SciPost FoundationCopyright Statement
Country of Publication:
Netherlands
Language:
English

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