Puzzles and pitfalls involving Haar-typicality in holography

Journal Article · 18 June 2018 · SciPost Physics

DOI: https://doi.org/10.21468/SciPostPhys.4.6.033 · OSTI ID:1454886

Bao, Ning ^[1]; Chatwin-Davies, Aidan  ^[2]

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1. California Institute of Technology, University of California, Berkeley
2. California Institute of Technology

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