Three dimensional view of the SYK/AdS duality

Sumit R. Das; Antal Jevicki; Kenta Suzuki

doi:10.1007/JHEP09(2017)017

Three dimensional view of the SYK/AdS duality

Sumit R. Das, Antal Jevicki, Kenta Suzuki

Research output: Contribution to journal › Article › peer-review

90 Scopus citations

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	https://doi.org/10.1007/JHEP09(2017)017
State	Published - Sep 1 2017

Bibliographical note

Funding Information:
We acknowledge useful conversations with Robert de Melo Koch, Animik Ghosh, Juan Maldacena, Cheng Peng, Al Shapere, Edward Witten and Junggi Yoon on the topics of this paper. We also thank Wenbo Fu, Alexei Kitaev, Grigory Tarnopolsky and Jacobus Verbaarschot for relevant discussions on the SYK model. This work is supported by the Department of Energy under contract DE-SC0010010. The work of SRD is partially supported by the National Science Foundation grant NSF-PHY-1521045. AJ would like to thank the Galileo Galilei Institute for Theoretical Physics (GGI) for the hospitality and INFN for partial support during the completion of this work, within the program “New Developments in AdS3/CFT2 Holography”. We also learned of possibly related work by Marika Taylor [80].

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

Access to Document

10.1007/JHEP09(2017)017

Cite this

@article{7ad186ce472e4c57921640426fa0c922,

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 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.",

keywords = "1/N Expansion, 2D Gravity, AdS-CFT Correspondence, Gauge-gravity correspondence",

author = "Das, {Sumit R.} and Antal Jevicki and Kenta Suzuki",

note = "Funding Information: We acknowledge useful conversations with Robert de Melo Koch, Animik Ghosh, Juan Maldacena, Cheng Peng, Al Shapere, Edward Witten and Junggi Yoon on the topics of this paper. We also thank Wenbo Fu, Alexei Kitaev, Grigory Tarnopolsky and Jacobus Verbaarschot for relevant discussions on the SYK model. This work is supported by the Department of Energy under contract DE-SC0010010. The work of SRD is partially supported by the National Science Foundation grant NSF-PHY-1521045. AJ would like to thank the Galileo Galilei Institute for Theoretical Physics (GGI) for the hospitality and INFN for partial support during the completion of this work, within the program “New Developments in AdS3/CFT2 Holography”. We also learned of possibly related work by Marika Taylor [80]. Publisher Copyright: {\textcopyright} 2017, The Author(s).",

year = "2017",

month = sep,

day = "1",

doi = "10.1007/JHEP09(2017)017",

language = "English",

volume = "2017",

number = "9",

}

TY - JOUR

T1 - Three dimensional view of the SYK/AdS duality

AU - Das, Sumit R.

AU - Jevicki, Antal

AU - Suzuki, Kenta

N1 - Funding Information: We acknowledge useful conversations with Robert de Melo Koch, Animik Ghosh, Juan Maldacena, Cheng Peng, Al Shapere, Edward Witten and Junggi Yoon on the topics of this paper. We also thank Wenbo Fu, Alexei Kitaev, Grigory Tarnopolsky and Jacobus Verbaarschot for relevant discussions on the SYK model. This work is supported by the Department of Energy under contract DE-SC0010010. The work of SRD is partially supported by the National Science Foundation grant NSF-PHY-1521045. AJ would like to thank the Galileo Galilei Institute for Theoretical Physics (GGI) for the hospitality and INFN for partial support during the completion of this work, within the program “New Developments in AdS3/CFT2 Holography”. We also learned of possibly related work by Marika Taylor [80]. Publisher Copyright: © 2017, The Author(s).

PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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.

AB - 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.

KW - 1/N Expansion

KW - 2D Gravity

KW - AdS-CFT Correspondence

KW - Gauge-gravity correspondence

UR - http://www.scopus.com/inward/record.url?scp=85029225620&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85029225620&partnerID=8YFLogxK

U2 - 10.1007/JHEP09(2017)017

DO - 10.1007/JHEP09(2017)017

M3 - Article

AN - SCOPUS:85029225620

SN - 1126-6708

VL - 2017

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 9

M1 - 17

ER -

Three dimensional view of the SYK/AdS duality

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this