Abstract
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 AdS2, and subject to a delta function potential at the center of the interval along the third direction. This., through Kaluza-Klein procedure on AdS2 × (S1)/Z2, 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.
Original language | English |
---|---|
Article number | 17 |
Journal | Journal of High Energy Physics |
Volume | 2017 |
Issue number | 9 |
DOIs | |
State | Published - Sep 1 2017 |
Bibliographical note
Publisher Copyright:© 2017, The Author(s).
Keywords
- 1/N Expansion
- 2D Gravity
- AdS-CFT Correspondence
- Gauge-gravity correspondence
ASJC Scopus subject areas
- Nuclear and High Energy Physics