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Title: Three dimensional view of the SYK/AdS duality

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 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:
Research Org.:
Brown Univ., Providence, RI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1424011
Grant/Contract Number:
sc0010010
Resource Type:
Journal Article: 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
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 2D Gravity; AdS-CFT Correspondence; Gauge-gravity correspondence

Citation Formats

Das, Sumit R., Jevicki, Antal, and Suzuki, Kenta. Three dimensional view of the SYK/AdS duality. United States: N. p., 2017. Web. doi:10.1007/JHEP09(2017)017.
Das, Sumit R., Jevicki, Antal, & Suzuki, Kenta. Three dimensional view of the SYK/AdS duality. United States. doi:10.1007/JHEP09(2017)017.
Das, Sumit R., Jevicki, Antal, and Suzuki, Kenta. Tue . "Three dimensional view of the SYK/AdS duality". United States. doi:10.1007/JHEP09(2017)017. https://www.osti.gov/servlets/purl/1424011.
@article{osti_1424011,
title = {Three dimensional view of the SYK/AdS duality},
author = {Das, Sumit R. and Jevicki, Antal and Suzuki, Kenta},
abstractNote = {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.},
doi = {10.1007/JHEP09(2017)017},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2017,
place = {United States},
year = {Tue Sep 05 00:00:00 EDT 2017},
month = {Tue Sep 05 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
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