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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’s functions. This results in a dual theory with Euclidean AdS signature with additional legfactors. As a result, we speculate that these factors incorporate the coupling of additional bulk states similar to the discrete states of 2d string theory.

Authors:
 [1];  [1];  [2];  [2]
  1. Univ. of Kentucky, Lexington, KY (United States). Dept. of Physics and Astronomy
  2. Brown Univ., Providence, RI (United States). Dept. of Physics
Publication Date:
Research Org.:
Brown Univ., Providence, RI (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1502112
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: 2018; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Gauge-gravity correspondence; Space-Time Symmetries; 2D Gravity

Citation Formats

Das, Sumit R., Ghosh, Animik, Jevicki, Antal, and Suzuki, Kenta. Space-time in the SYK model. United States: N. p., 2018. Web. doi:10.1007/jhep07(2018)184.
Das, Sumit R., Ghosh, Animik, Jevicki, Antal, & Suzuki, Kenta. Space-time in the SYK model. United States. doi:10.1007/jhep07(2018)184.
Das, Sumit R., Ghosh, Animik, Jevicki, Antal, and Suzuki, Kenta. Tue . "Space-time in the SYK model". United States. doi:10.1007/jhep07(2018)184. https://www.osti.gov/servlets/purl/1502112.
@article{osti_1502112,
title = {Space-time in the SYK model},
author = {Das, Sumit R. and Ghosh, Animik and Jevicki, Antal and Suzuki, Kenta},
abstractNote = {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. As a result, we speculate that these factors incorporate the coupling of additional bulk states similar to the discrete states of 2d string theory.},
doi = {10.1007/jhep07(2018)184},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2018,
place = {United States},
year = {2018},
month = {7}
}

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Cited by: 28 works
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Works referenced in this record:

All point correlation functions in SYK
journal, December 2017

  • Gross, David J.; Rosenhaus, Vladimir
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)148

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


Tensor models, Kronecker coefficients and permutation centralizer algebras
journal, November 2017

  • Geloun, Joseph Ben; Ramgoolam, Sanjaye
  • Journal of High Energy Physics, Vol. 2017, Issue 11
  • DOI: 10.1007/JHEP11(2017)092

Solving the Schwarzian via the conformal bootstrap
journal, August 2017

  • Mertens, Thomas G.; Turiaci, Gustavo J.; Verlinde, Herman L.
  • Journal of High Energy Physics, Vol. 2017, Issue 8
  • DOI: 10.1007/JHEP08(2017)136

A deformed matrix model and the black-hole background in two-dimensional string theory
journal, January 1994


Bulk reconstruction in AdS and Gel’fand-Graev-Radon transform
journal, October 2017

  • Bhowmick, Samrat; Ray, Koushik; Sen, Siddhartha
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)082

From Loops to Fields in 2d Quantum Gravity
journal, April 1992

  • Moore, Gregory; Seiberg, Nathan
  • International Journal of Modern Physics A, Vol. 07, Issue 11
  • DOI: 10.1142/S0217751X92001174

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


Stringy Quantum Effects in Two-Dimensional Black hole
journal, December 1992


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

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

Three dimensional view of the SYK/AdS duality
journal, September 2017

  • Das, Sumit R.; Jevicki, Antal; Suzuki, Kenta
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)017

More on supersymmetric and 2d analogs of the SYK model
journal, August 2017

  • Murugan, Jeff; Stanford, Douglas; Witten, Edward
  • Journal of High Energy Physics, Vol. 2017, Issue 8
  • DOI: 10.1007/JHEP08(2017)146

Ward identities and combinatorics of rainbow tensor models
journal, June 2017

  • Itoyama, H.; Mironov, A.; Morozov, A.
  • Journal of High Energy Physics, Vol. 2017, Issue 6
  • DOI: 10.1007/JHEP06(2017)115

Gravitational scattering in the c = 1 matrix model
journal, August 1994


More on the new large D limit of matrix models
journal, June 2018


SYK models and SYK-like tensor models with global symmetry
journal, October 2017


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

Bosonic tensor models at large N and small ε
journal, November 2017


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

The two-point correlation function of the one-dimensional matrix model
journal, February 1991


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


Spectra of operators in large N tensor models
journal, January 2018


Lower dimensional gravity
journal, January 1985


Vacuum states in de Sitter space
journal, December 1985


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


Large- N collective fields and holography
journal, August 2003


Supersymmetric Sachdev-Ye-Kitaev models
journal, January 2017


Supersymmetric SYK model: bi-local collective superfield/supermatrix formulation
journal, October 2017


Chaos in AdS 2 Holography
journal, September 2016


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


Eigenstate thermalization in the Sachdev-Ye-Kitaev model
journal, November 2017


Matrix Models and Black Holes
journal, January 1993


S = 1 for c = 1
journal, July 1991


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


Approximating the Sachdev-Ye-Kitaev model with Majorana wires
journal, September 2017


Disorder in the Sachdev–Ye–Kitaev model
journal, October 2017


Cut and join operator ring in tensor models
journal, July 2018


SYK-like tensor models on the lattice
journal, August 2017


Bekenstein-Hawking Entropy and Strange Metals
journal, November 2015


Towards a 2d QFT analog of the SYK model
journal, October 2017

  • Turiaci, Gustavo J.; Verlinde, Herman
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)167

Particle creation in de Sitter space
journal, February 1985


Abelian tensor models on the lattice
journal, April 2018

  • Chaudhuri, Soumyadeep; Giraldo-Rivera, Victor I.; Joseph, Anosh
  • Physical Review D, Vol. 97, Issue 8
  • DOI: 10.1103/PhysRevD.97.086007

Entanglement, holography and causal diamonds
journal, August 2016

  • de Boer, Jan; Haehl, Felix M.; Heller, Michal P.
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)162

Correlators in the N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model
journal, October 2017

  • Peng, Cheng; Spradlin, Marcus; Volovich, Anastasia
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)202

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


Menagerie of AdS2 boundary conditions
journal, October 2017

  • Grumiller, Daniel; McNees, Robert; Salzer, Jakob
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)203

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


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

Canonical formulation of O ( N ) vector/higher spin correspondence
journal, February 2015

  • Koch, Robert de Mello; Jevicki, Antal; Rodrigues, João P.
  • Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 10
  • DOI: 10.1088/1751-8113/48/10/105403

Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models
journal, February 2018


The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
journal, May 2018

  • Kitaev, Alexei; Suh, S. Josephine
  • Journal of High Energy Physics, Vol. 2018, Issue 5
  • DOI: 10.1007/JHEP05(2018)183

Vector models and generalized SYK models
journal, May 2017


Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models
journal, November 2017

  • Mandal, Gautam; Nayak, Pranjal; Wadia, Spenta R.
  • Journal of High Energy Physics, Vol. 2017, Issue 11
  • DOI: 10.1007/JHEP11(2017)046

On large N limit of symmetric traceless tensor models
journal, October 2017

  • Klebanov, Igor R.; Tarnopolsky, Grigory
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)037

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


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

Notes on de Sitter space and holography
journal, November 2002

  • Balasubramanian, Vijay; Boer, Jan de; Minic, Djordje
  • Classical and Quantum Gravity, Vol. 19, Issue 22
  • DOI: 10.1088/0264-9381/19/22/302

Quenched equals annealed at leading order in the colored SYK model
journal, August 2017


Diffusion in higher dimensional SYK model with complex fermions
journal, January 2018

  • Cai, Wenhe; Ge, Xian-Hui; Yang, Guo-Hong
  • Journal of High Energy Physics, Vol. 2018, Issue 1
  • DOI: 10.1007/JHEP01(2018)076

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


A stereoscopic look into the bulk
journal, July 2016

  • Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)129

SELF-TUNING FIELDS AND RESONANT CORRELATIONS IN 2d-GRAVITY
journal, March 1991


Holographic de Sitter Geometry from Entanglement in Conformal Field Theory
journal, February 2016


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


INTERACTIONS AND SCATTERING IN d = 1 STRING THEORY
journal, May 1991

  • Mandal, Gautam; Sengupta, Anirvan M.; Wadia, Spenta R.
  • Modern Physics Letters A, Vol. 06, Issue 16
  • DOI: 10.1142/S0217732391001585

A complex fermionic tensor model in d dimensions
journal, February 2018


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


Correlators in tensor models from character calculus
journal, November 2017


Orthogonal bases of invariants in tensor models
journal, February 2018


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

Solvable Sachdev-Ye-Kitaev Models in Higher Dimensions: From Diffusion to Many-Body Localization
journal, November 2017


Analytical spectral density of the Sachdev-Ye-Kitaev model at finite N
journal, September 2017


Contrasting SYK-like models
journal, January 2018

  • Krishnan, Chethan; Pavan Kumar, K. V.; Rosa, Dario
  • Journal of High Energy Physics, Vol. 2018, Issue 1
  • DOI: 10.1007/JHEP01(2018)064

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

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

Three dimensional view of arbitrary q SYK models
journal, February 2018

  • Das, Sumit R.; Ghosh, Animik; Jevicki, Antal
  • Journal of High Energy Physics, Vol. 2018, Issue 2
  • DOI: 10.1007/JHEP02(2018)162

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

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

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

Black hole physics and Liouville theory
journal, January 1992


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

Gauge invariants, correlators and holography in bosonic and fermionic tensor models
journal, September 2017

  • de Mello Koch, Robert; Gossman, David; Tribelhorn, Laila
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)011

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


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

Disrupting entanglement of black holes
journal, August 2014


Fermionic localization of the schwarzian theory
journal, October 2017

  • Stanford, Douglas; Witten, Edward
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)008

A note on Sachdev–Ye–Kitaev like model without random coupling
journal, January 2018


Quantum Field Theory in De Sitter Space: Renormalization by Point-Splitting
journal, March 1978

  • Bunch, T. S.; Davies, P. C. W.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 360, Issue 1700
  • DOI: 10.1098/rspa.1978.0060

    Works referencing / citing this record:

    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