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An obstacle to sub-AdS holography for SYK-like models

Zhang, Pengfei and Gu, Yingfei and Kitaev, Alexei (2021) An obstacle to sub-AdS holography for SYK-like models. Journal of High Energy Physics, 2021 (3). Art. No. 94. ISSN 1029-8479. https://resolver.caltech.edu/CaltechAUTHORS:20210311-125528811

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Abstract

We argue that “stringy” effects in a putative gravity-dual picture for SYK-like models are related to the branching time, a kinetic coefficient defined in terms of the retarded kernel. A bound on the branching time is established assuming that the leading diagrams are ladders with thin rungs. Thus, such models are unlikely candidates for sub-AdS holography. In the weak coupling limit, we derive a relation between the branching time, the Lyapunov exponent, and the quasiparticle lifetime using two different approximations.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/jhep03(2021)094DOIArticle
https://arxiv.org/abs/2012.01620arXivDiscussion Paper
ORCID:
AuthorORCID
Zhang, Pengfei0000-0002-7408-0918
Gu, Yingfei0000-0001-8645-879X
Kitaev, Alexei0000-0002-5777-642X
Additional Information:© 2021 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: December 16, 2020; Revised: January 22, 2021; Accepted: January 28, 2021; Published: March 9, 2021. We acknowledge Hui Zhai for collaboration in the early stages of this project. We thank Douglas Stanford for helpful discussions. Y.G. is supported by the Gordon and Betty Moore Foundation EPiQS Initiative through Grant (GBMF-4306), and by the Simons Foundation through the “It from Qubit” program”. A.K. is supported by the Simons Foundation under grant 376205 and through the “It from Qubit” program, as well as by the Institute of Quantum Information and Matter, a NSF Frontier center funded in part by the Gordon and Betty Moore Foundation. P.Z. acknowledges support from the Walter Burke Institute for Theoretical Physics at Caltech.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Gordon and Betty Moore FoundationGBMF-4306
Simons Foundation376205
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
SCOAP3UNSPECIFIED
Subject Keywords:1/N Expansion; AdS-CFT Correspondence
Issue or Number:3
Record Number:CaltechAUTHORS:20210311-125528811
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210311-125528811
Official Citation:Zhang, P., Gu, Y. & Kitaev, A. An obstacle to sub-AdS holography for SYK-like models. J. High Energ. Phys. 2021, 94 (2021). https://doi.org/10.1007/JHEP03(2021)094
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108398
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:12 Mar 2021 18:27
Last Modified:12 Mar 2021 18:27

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