An obstacle to sub-AdS holography for SYK-like models
High Energy Physics - Theory
2021-04-02 v1 Strongly Correlated Electrons
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.
Cite
@article{arxiv.2012.01620,
title = {An obstacle to sub-AdS holography for SYK-like models},
author = {Pengfei Zhang and Yingfei Gu and Alexei Kitaev},
journal= {arXiv preprint arXiv:2012.01620},
year = {2021}
}
Comments
31 pages, 3 figures