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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:
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 = {2017},
month = {9}
}

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Works referenced in this record:

String Field Theory and Physical Interpretation of d=1 Strings
journal, August 1990


The complete 1/N expansion of a SYK–like tensor model
journal, March 2017


Diffusion and chaos from near AdS2 horizons
journal, February 2017


The bulk dual of SYK: cubic couplings
journal, May 2017

  • Gross, David J.; Rosenhaus, Vladimir
  • Journal of High Energy Physics, Vol. 2017, Issue 5
  • DOI: 10.1007/JHEP05(2017)092

Fractional statistics and the butterfly effect
journal, August 2016


Universality in chaos of particle motion near black hole horizon
journal, January 2017


Bi-local holography in the SYK model: perturbations
journal, November 2016


Supersymmetric SYK model and random matrix theory
journal, June 2017

  • Li, Tianlin; Liu, Junyu; Xin, Yuan
  • Journal of High Energy Physics, Vol. 2017, Issue 6
  • DOI: 10.1007/JHEP06(2017)111

Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography
journal, April 2017


The spectrum in the Sachdev-Ye-Kitaev model
journal, April 2016

  • Polchinski, Joseph; Rosenhaus, Vladimir
  • Journal of High Energy Physics, Vol. 2016, Issue 4
  • DOI: 10.1007/JHEP04(2016)001

Vector models and generalized SYK models
journal, May 2017


Black holes and the butterfly effect
journal, March 2014

  • Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)067

Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
journal, May 2017

  • Gu, Yingfei; Qi, Xiao-Liang; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2017, Issue 5
  • DOI: 10.1007/JHEP05(2017)125

Gapless spin-fluid ground state in a random quantum Heisenberg magnet
journal, May 1993


Mean Field Theory of a Quantum Heisenberg Spin Glass
journal, July 2000


Stringy effects in scrambling
journal, May 2015

  • Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)132

Bounding the space of holographic CFTs with chaos
journal, October 2016


Bi-local holography in the SYK model
journal, July 2016

  • Jevicki, Antal; Suzuki, Kenta; Yoon, Junggi
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)007

Rainbow tensor model with enhanced symmetry and extreme melonic dominance
journal, August 2017


Quantum chaos and holographic tensor models
journal, March 2017

  • Krishnan, Chethan; Sanyal, Sambuddha; Subramanian, P. N. Bala
  • Journal of High Energy Physics, Vol. 2017, Issue 3
  • DOI: 10.1007/JHEP03(2017)056

Digital Quantum Simulation of Minimal AdS / CFT
journal, July 2017


VIII. Collective coordinate method for quantization of extended systems
journal, February 1976


AdS2 holographic dictionary
journal, December 2016

  • Cvetič, Mirjam; Papadimitriou, Ioannis
  • Journal of High Energy Physics, Vol. 2016, Issue 12
  • DOI: 10.1007/JHEP12(2016)008

Uncolored random tensors, melon diagrams, and the Sachdev-Ye-Kitaev models
journal, February 2017


Sturm-liouville operators with singular potentials
journal, December 1999

  • Savchuk, A. M.; Shkalikov, A. A.
  • Mathematical Notes, Vol. 66, Issue 6
  • DOI: 10.1007/BF02674332

A generalization of Sachdev-Ye-Kitaev
journal, February 2017

  • Gross, David J.; Rosenhaus, Vladimir
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)093

Black holes and random matrices
journal, May 2017

  • Cotler, Jordan S.; Gur-Ari, Guy; Hanada, Masanori
  • Journal of High Energy Physics, Vol. 2017, Issue 5
  • DOI: 10.1007/JHEP05(2017)118

Holography as a gauge phenomenon in Higher Spin duality
journal, January 2015

  • de Mello Koch, Robert; Jevicki, Antal; Rodrigues, João P.
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)055

AdS dual of the critical O(N) vector model
journal, December 2002


An investigation of AdS2 backreaction and holography
journal, July 2016

  • Engelsöy, Julius; Mertens, Thomas G.; Verlinde, Herman
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)139

Lower dimensional gravity
journal, January 1985


A bound on chaos
journal, August 2016

  • Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)106

Heterotic and Type I string dynamics from eleven dimensions
journal, February 1996


Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
journal, December 2016


Higher dimensional generalizations of the SYK model
journal, January 2017

  • Berkooz, Micha; Narayan, Prithvi; Rozali, Moshe
  • Journal of High Energy Physics, Vol. 2017, Issue 1
  • DOI: 10.1007/JHEP01(2017)138

Large- N collective fields and holography
journal, August 2003


Supersymmetric Sachdev-Ye-Kitaev models
journal, January 2017


Chaos in AdS 2 Holography
journal, September 2016


Gravitation and hamiltonian structure in two spacetime dimensions
journal, June 1983


Matrix quantum mechanics from qubits
journal, January 2017

  • Hartnoll, Sean A.; Huijse, Liza; Mazenc, Edward A.
  • Journal of High Energy Physics, Vol. 2017, Issue 1
  • DOI: 10.1007/JHEP01(2017)010

On CFT and quantum chaos
journal, December 2016

  • Turiaci, Gustavo J.; Verlinde, Herman
  • Journal of High Energy Physics, Vol. 2016, Issue 12
  • DOI: 10.1007/JHEP12(2016)110

Holographic impurities and Kondo effect: Holographic impurities and Kondo effect
journal, March 2016

  • Erdmenger, Johanna; Flory, Mario; Hoyos, Carlos
  • Fortschritte der Physik, Vol. 64, Issue 4-5
  • DOI: 10.1002/prop.201500079

Nearly AdS2 sugra and the super-Schwarzian
journal, August 2017


Positive energy in anti-de Sitter backgrounds and gauged extended supergravity
journal, September 1982


Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states
journal, March 2017


Holographic Metals and the Fractionalized Fermi Liquid
journal, October 2010


Disordered quivers and cold horizons
journal, December 2016

  • Anninos, Dionysios; Anous, Tarek; Denef, Frederik
  • Journal of High Energy Physics, Vol. 2016, Issue 12
  • DOI: 10.1007/JHEP12(2016)071

Numerical study of fermion and boson models with infinite-range random interactions
journal, July 2016


A supersymmetric SYK-like tensor model
journal, May 2017

  • Peng, Cheng; Spradlin, Marcus; Volovich, Anastasia
  • Journal of High Energy Physics, Vol. 2017, Issue 5
  • DOI: 10.1007/JHEP05(2017)062

Models of AdS2 backreaction and holography
journal, November 2015

  • Almheiri, Ahmed; Polchinski, Joseph
  • Journal of High Energy Physics, Vol. 2015, Issue 11
  • DOI: 10.1007/JHEP11(2015)014

Disrupting entanglement of black holes
journal, August 2014


Bekenstein-Hawking Entropy and Strange Metals
journal, November 2015


Perturbation expansion around extended-particle states in quantum field theory
journal, August 1975


AdS 4 / CFT 3 construction from collective fields
journal, January 2011


Brane couplings from bulk loops
journal, May 2001


Strange metals and the AdS/CFT correspondence
journal, November 2010


    Works referencing / citing this record:

    Tensor and matrix models: a one-night stand or a lifetime romance?
    journal, June 2018


    Quantum quenches and thermalization in SYK models
    journal, July 2019

    • Bhattacharya, Ritabrata; Jatkar, Dileep P.; Sorokhaibam, Nilakash
    • Journal of High Energy Physics, Vol. 2019, Issue 7
    • DOI: 10.1007/jhep07(2019)066

    Tensor and matrix models: a one-night stand or a lifetime romance?
    journal, June 2018


    Quantum quenches and thermalization in SYK models
    journal, July 2019

    • Bhattacharya, Ritabrata; Jatkar, Dileep P.; Sorokhaibam, Nilakash
    • Journal of High Energy Physics, Vol. 2019, Issue 7
    • DOI: 10.1007/jhep07(2019)066

    Quantum out-of-equilibrium cosmology
    journal, April 2019