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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.
Document Type
Article
Publication Date
9-5-2017
Digital Object Identifier (DOI)
https://doi.org/10.1007/JHEP09(2017)017
Funding Information
Article funded by SCOAP3.
Repository Citation
Das, Sumit R.; Jevicki, Antal; and Suzuki, Kenta, "Three Dimensional View of the SYK/AdS Duality" (2017). Physics and Astronomy Faculty Publications. 505.
https://uknowledge.uky.edu/physastron_facpub/505
Notes/Citation Information
Published in Journal of High Energy Physics, v. 2017, issue 9, article 17, p. 1-19.
© The Author(s) 2017
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.