Three dimensional view of the SYK/AdS duality

• Published in: The journal of high energy physics Vol. 2017; no. 9; pp. 1 - 20
• Main Authors: Das, Sumit R., Jevicki, Antal, Suzuki, Kenta
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2017; Springer Nature B.V; Springer Berlin; SpringerOpen
• Subjects: 1/N Expansion; 2D Gravity; AdS-CFT Correspondence; Classical and Quantum Gravitation; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Delta function; Elementary Particles; Gauge-gravity correspondence; Gravitation; High energy physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Three dimensional models; AdS-CFT Correspondence; Gauge-gravity correspondence; 2D Gravity; 1/N Expansion
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP09(2017)017

A bstract We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS 2 , and subject to a delta function potential at the center of the interval along the third direction. This, through Kaluza-Klein procedure on AdS 2 × ( S 1 ) /Z 2 , generates the spectrum reproducing the bi-local propagator at strong coupling. Furthermore, the leading 1 /J correction calculated in this picture reproduces the known correction to the poles of the SYK propagator, providing credence to a conjecture that the bulk dual of this model can be interpreted as a three dimensional theory.