Space-time in the SYK model

Sumit R. Das; Animik Ghosh; Antal Jevicki; Kenta Suzuki

doi:10.1007/JHEP07(2018)184

Space-time in the SYK model

Sumit R. Das, Animik Ghosh, Antal Jevicki, Kenta Suzuki

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

49 Scopus citations

Abstract

We consider the question of identifying the bulk space-time of the SYK model. Focusing on the signature of emergent space-time of the (Euclidean) model, we explain the need for non-local (Radon-type) transformations on external legs of n-point Green’s functions. This results in a dual theory with Euclidean AdS signature with additional legfactors. We speculate that these factors incorporate the coupling of additional bulk states similar to the discrete states of 2d string theory.

Original language	English
Article number	184
Journal	Journal of High Energy Physics
Volume	2018
Issue number	7
DOIs	https://doi.org/10.1007/JHEP07(2018)184
State	Published - Jul 1 2018

Bibliographical note

Funding Information:
We acknowledge helpful conversations with Robert de Melo Koch, Gautam Mandal, Pran-jal Nayak, Cheng Peng, Kaushik Ray, Al Shapere, Edward Witten and Junggi Yoon on the topics of this paper. We are especially grateful to Juan Maldacena for several correspondences and discussions. This work is supported by the Department of Energy under contract DE-SC0010010. The work of SRD and AG are partially supported by the National Science Foundation grant NSF-PHY-1521045. The work of KS is also supported by the Galkin Fellowship Award at Brown University. SRD would like to thank Tata Institute of Fundamental Research and University of Amsterdam for hospitality during the completion of this work.

Publisher Copyright:
© 2018, The Author(s).

Keywords

2D Gravity
AdS-CFT Correspondence
Gauge-gravity correspondence
Space-Time Symmetries

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP07(2018)184

Cite this

@article{3bd274a927064caba4d36c32322c8af4,

title = "Space-time in the SYK model",

abstract = "We consider the question of identifying the bulk space-time of the SYK model. Focusing on the signature of emergent space-time of the (Euclidean) model, we explain the need for non-local (Radon-type) transformations on external legs of n-point Green{\textquoteright}s functions. This results in a dual theory with Euclidean AdS signature with additional legfactors. We speculate that these factors incorporate the coupling of additional bulk states similar to the discrete states of 2d string theory.",

keywords = "2D Gravity, AdS-CFT Correspondence, Gauge-gravity correspondence, Space-Time Symmetries",

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

note = "Funding Information: We acknowledge helpful conversations with Robert de Melo Koch, Gautam Mandal, Pran-jal Nayak, Cheng Peng, Kaushik Ray, Al Shapere, Edward Witten and Junggi Yoon on the topics of this paper. We are especially grateful to Juan Maldacena for several correspondences and discussions. This work is supported by the Department of Energy under contract DE-SC0010010. The work of SRD and AG are partially supported by the National Science Foundation grant NSF-PHY-1521045. The work of KS is also supported by the Galkin Fellowship Award at Brown University. SRD would like to thank Tata Institute of Fundamental Research and University of Amsterdam for hospitality during the completion of this work. Publisher Copyright: {\textcopyright} 2018, The Author(s).",

year = "2018",

month = jul,

day = "1",

doi = "10.1007/JHEP07(2018)184",

language = "English",

volume = "2018",

number = "7",

}

TY - JOUR

T1 - Space-time in the SYK model

AU - Das, Sumit R.

AU - Ghosh, Animik

AU - Jevicki, Antal

AU - Suzuki, Kenta

N1 - Funding Information: We acknowledge helpful conversations with Robert de Melo Koch, Gautam Mandal, Pran-jal Nayak, Cheng Peng, Kaushik Ray, Al Shapere, Edward Witten and Junggi Yoon on the topics of this paper. We are especially grateful to Juan Maldacena for several correspondences and discussions. This work is supported by the Department of Energy under contract DE-SC0010010. The work of SRD and AG are partially supported by the National Science Foundation grant NSF-PHY-1521045. The work of KS is also supported by the Galkin Fellowship Award at Brown University. SRD would like to thank Tata Institute of Fundamental Research and University of Amsterdam for hospitality during the completion of this work. Publisher Copyright: © 2018, The Author(s).

PY - 2018/7/1

Y1 - 2018/7/1

N2 - We consider the question of identifying the bulk space-time of the SYK model. Focusing on the signature of emergent space-time of the (Euclidean) model, we explain the need for non-local (Radon-type) transformations on external legs of n-point Green’s functions. This results in a dual theory with Euclidean AdS signature with additional legfactors. We speculate that these factors incorporate the coupling of additional bulk states similar to the discrete states of 2d string theory.

AB - We consider the question of identifying the bulk space-time of the SYK model. Focusing on the signature of emergent space-time of the (Euclidean) model, we explain the need for non-local (Radon-type) transformations on external legs of n-point Green’s functions. This results in a dual theory with Euclidean AdS signature with additional legfactors. We speculate that these factors incorporate the coupling of additional bulk states similar to the discrete states of 2d string theory.

KW - 2D Gravity

KW - AdS-CFT Correspondence

KW - Gauge-gravity correspondence

KW - Space-Time Symmetries

UR - http://www.scopus.com/inward/record.url?scp=85050977153&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85050977153&partnerID=8YFLogxK

U2 - 10.1007/JHEP07(2018)184

DO - 10.1007/JHEP07(2018)184

M3 - Article

AN - SCOPUS:85050977153

SN - 1126-6708

VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 7

M1 - 184

ER -

Space-time in the SYK model

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this