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Title: Three dimensional view of the SYK/AdS duality

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.
Authors:
 [1] ;  [2] ;  [2]
  1. Univ. of Kentucky, Lexington, KY (United States)
  2. Brown Univ., Providence, RI (United States)
Publication Date:
Grant/Contract Number:
sc0010010
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 9; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Brown Univ., Providence, RI (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 2D Gravity; AdS-CFT Correspondence; Gauge-gravity correspondence
OSTI Identifier:
1424011