Published March 2021
| Submitted + Published
Journal Article
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An obstacle to sub-AdS holography for SYK-like models
- Creators
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Zhang, Pengfei
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Gu, Yingfei
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Kitaev, Alexei
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.
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.Attached Files
Published - Zhang2021_Article_AnObstacleToSub-AdSHolographyF.pdf
Submitted - 2012.01620.pdf
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2012.01620.pdf
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Additional details
- Eprint ID
- 108398
- Resolver ID
- CaltechAUTHORS:20210311-125528811
- GBMF-4306
- Gordon and Betty Moore Foundation
- 376205
- Simons Foundation
- Institute for Quantum Information and Matter (IQIM)
- Walter Burke Institute for Theoretical Physics, Caltech
- SCOAP3
- Created
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2021-03-12Created from EPrint's datestamp field
- Updated
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2022-12-06Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics