Quantum criticality and duality in the SYK/AdS$_2$ chain
Abstract
We show that the quantum critical point (QCP) between a diffusive metal and ferromagnetic (or antiferromagnetic) phases in the SYK chain has a gravitational description corresponding to the double-trace deformation in an AdS chain. Specifically, by studying a double-trace deformation of a scalar in an AdS chain where the scalar is dual to the order parameter in the SYK chain, we find that the susceptibility and renormalization group equation describing the QCP in the SYK chain can be exactly reproduced in the holographic model. Our results suggest that the infrared geometry in the gravity theory dual to the diffusive metal of the SYK chain is also an AdS chain. We further show that the transition in SYK model captures universal information about double-trace deformation in generic black holes with near horizon AdS spacetime.
Keywords
Cite
@article{arxiv.1709.02810,
title = {Quantum criticality and duality in the SYK/AdS$_2$ chain},
author = {Shao-Kai Jian and Zhuo-Yu Xian and Hong Yao},
journal= {arXiv preprint arXiv:1709.02810},
year = {2018}
}
Comments
4.5 pages + supplemental material, 1 figure, published version