Puzzles and pitfalls involving Haar-typicality in holography
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.
- Authors:
-
[1]
;
[2]
- California Institute of Technology, University of California, Berkeley
- California Institute of Technology
- Publication Date:
- Grant/Contract Number:
- SC0011632
- Type:
- Published Article
- Journal Name:
- SciPost Physics
- Additional Journal Information:
- Journal Name: SciPost Physics Journal Volume: 4 Journal Issue: 6; Journal ID: ISSN 2542-4653
- Publisher:
- Stichting SciPost
- Sponsoring Org:
- USDOE
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
- OSTI Identifier:
- 1454886
Bao, Ning, and Chatwin-Davies, Aidan. Puzzles and pitfalls involving Haar-typicality in holography. Country unknown/Code not available: N. p.,
Web. doi:10.21468/SciPostPhys.4.6.033.
Bao, Ning, & Chatwin-Davies, Aidan. Puzzles and pitfalls involving Haar-typicality in holography. Country unknown/Code not available. doi:10.21468/SciPostPhys.4.6.033.
Bao, Ning, and Chatwin-Davies, Aidan. 2018.
"Puzzles and pitfalls involving Haar-typicality in holography". Country unknown/Code not available.
doi:10.21468/SciPostPhys.4.6.033.
@article{osti_1454886,
title = {Puzzles and pitfalls involving Haar-typicality in holography},
author = {Bao, Ning and Chatwin-Davies, Aidan},
abstractNote = {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.},
doi = {10.21468/SciPostPhys.4.6.033},
journal = {SciPost Physics},
number = 6,
volume = 4,
place = {Country unknown/Code not available},
year = {2018},
month = {6}
}