Bi-local holography in the SYK model
Abstract
We discuss large N rules of the Sachdev-Ye-Kitaev model and the bi-local representation of holography of this theory. This is done by establishing 1/N Feynman rules in terms of bi-local propagators and vertices, which can be evaluated following the recent procedure of Polchinski and Rosenhaus. Lastly, these rules can be interpreted as Witten type diagrams of the dual AdS theory, which we are able to define at IR fixed point and off.
- Authors:
-
- Brown Univ., Providence, RI (United States)
- Publication Date:
- Research Org.:
- Brown Univ., Providence, RI (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1326944
- 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: 2016; 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; 1/N Expansion; AdS-CFT Correspondence; Gauge-gravity correspondence; 2D Gravity
Citation Formats
Jevicki, Antal, Suzuki, Kenta, and Yoon, Junggi. Bi-local holography in the SYK model. United States: N. p., 2016.
Web. doi:10.1007/JHEP07(2016)007.
Jevicki, Antal, Suzuki, Kenta, & Yoon, Junggi. Bi-local holography in the SYK model. United States. https://doi.org/10.1007/JHEP07(2016)007
Jevicki, Antal, Suzuki, Kenta, and Yoon, Junggi. Fri .
"Bi-local holography in the SYK model". United States. https://doi.org/10.1007/JHEP07(2016)007. https://www.osti.gov/servlets/purl/1326944.
@article{osti_1326944,
title = {Bi-local holography in the SYK model},
author = {Jevicki, Antal and Suzuki, Kenta and Yoon, Junggi},
abstractNote = {We discuss large N rules of the Sachdev-Ye-Kitaev model and the bi-local representation of holography of this theory. This is done by establishing 1/N Feynman rules in terms of bi-local propagators and vertices, which can be evaluated following the recent procedure of Polchinski and Rosenhaus. Lastly, these rules can be interpreted as Witten type diagrams of the dual AdS theory, which we are able to define at IR fixed point and off.},
doi = {10.1007/JHEP07(2016)007},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2016,
place = {United States},
year = {Fri Jul 01 00:00:00 EDT 2016},
month = {Fri Jul 01 00:00:00 EDT 2016}
}
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Works referenced in this record:
Mean Field Theory of a Quantum Heisenberg Spin Glass
journal, July 2000
- Georges, Antoine; Parcollet, Olivier; Sachdev, Subir
- Physical Review Letters, Vol. 85, Issue 4
Holographic Metals and the Fractionalized Fermi Liquid
journal, October 2010
- Sachdev, Subir
- Physical Review Letters, Vol. 105, Issue 15
The spectrum in the Sachdev-Ye-Kitaev model
journal, April 2016
- Polchinski, Joseph; Rosenhaus, Vladimir
- Journal of High Energy Physics, Vol. 2016, Issue 4
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
Black holes and the butterfly effect
journal, March 2014
- Shenker, Stephen H.; Stanford, Douglas
- Journal of High Energy Physics, Vol. 2014, Issue 3
Localized shocks
journal, March 2015
- Roberts, Daniel A.; Stanford, Douglas; Susskind, Leonard
- Journal of High Energy Physics, Vol. 2015, Issue 3
Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory
journal, September 2015
- Roberts, Daniel A.; Stanford, Douglas
- Physical Review Letters, Vol. 115, Issue 13
Stringy effects in scrambling
journal, May 2015
- Shenker, Stephen H.; Stanford, Douglas
- Journal of High Energy Physics, Vol. 2015, Issue 5
Four-point function in the IOP matrix model
journal, May 2016
- Michel, Ben; Polchinski, Joseph; Rosenhaus, Vladimir
- Journal of High Energy Physics, Vol. 2016, Issue 5
AdS dual of the critical O(N) vector model
journal, December 2002
- Klebanov, I. R.; Polyakov, A. M.
- Physics Letters B, Vol. 550, Issue 3-4
Massless higher spins and holography
journal, November 2002
- Sezgin, E.; Sundell, P.
- Nuclear Physics B, Vol. 644, Issue 1-2
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
Light-front holographic QCD and emerging confinement
journal, July 2015
- Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter
- Physics Reports, Vol. 584
Collective field approach to the large-N limit: Euclidean field theories
journal, July 1981
- Jevicki, A.; Sakita, B.
- Nuclear Physics B, Vol. 185, Issue 1
VIII. Collective coordinate method for quantization of extended systems
journal, February 1976
- Gervals, J. L.; Jevicki, A.; Sakita, B.
- Physics Reports, Vol. 23, Issue 3
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
String Field Theory and Physical Interpretation of d=1 Strings
journal, August 1990
- Das, Sumit R.; Jevicki, Antal
- Modern Physics Letters A, Vol. 05, Issue 21
Bulk from bi-locals in Thermo field CFT
journal, February 2016
- Jevicki, Antal; Yoon, Junggi
- Journal of High Energy Physics, Vol. 2016, Issue 2
Thermofield duality for higher spin Rindler Gravity
journal, February 2016
- Jevicki, Antal; Suzuki, Kenta
- Journal of High Energy Physics, Vol. 2016, Issue 2
Light-Front Holographic QCD and Emerging Confinement
text, January 2014
- Brodsky, Stanley J.; de Teramond, Guy F.; Dosch, Hans Gunter
- arXiv
Holography as a Gauge Phenomenon in Higher Spin Duality
text, January 2014
- Koch, Robert de Mello; Jevicki, Antal; Rodrigues, Joao P.
- arXiv
Thermofield Duality for Higher Spin Rindler Gravity
text, January 2015
- Jevicki, Antal; Suzuki, Kenta
- arXiv
The Spectrum in the Sachdev-Ye-Kitaev Model
text, January 2016
- Polchinski, Joseph; Rosenhaus, Vladimir
- arXiv
Four-point function in the IOP matrix model
preprint, January 2016
- Michel, Ben; Polchinski, Joseph; Rosenhaus, Vladimir
- arXiv
Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
text, January 1992
- Sachdev, Subir; Ye, Jinwu
- arXiv
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- Hirano, Shinji; Lei, Yang
- Journal of High Energy Physics, Vol. 2020, Issue 1
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journal, February 2020
- Benedetti, Dario; Gurau, Razvan; Harribey, Sabine
- Journal of High Energy Physics, Vol. 2020, Issue 2
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journal, May 2017
- Cotler, Jordan S.; Gur-Ari, Guy; Hanada, Masanori
- Journal of High Energy Physics, Vol. 2017, Issue 5
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journal, June 2018
- Diaz, Pablo
- Journal of High Energy Physics, Vol. 2018, Issue 6
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journal, July 2016
- Engelsöy, Julius; Mertens, Thomas G.; Verlinde, Herman
- Journal of High Energy Physics, Vol. 2016, Issue 7
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journal, July 2019
- Chen, Yiming; Zhang, Pengfei
- Journal of High Energy Physics, Vol. 2019, Issue 7
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journal, August 2017
- Mertens, Thomas G.; Turiaci, Gustavo J.; Verlinde, Herman L.
- Journal of High Energy Physics, Vol. 2017, Issue 8
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journal, September 2018
- Nayak, Pranjal; Shukla, Ashish; Soni, Ronak M.
- Journal of High Energy Physics, Vol. 2018, Issue 9
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journal, September 2019
- Blommaert, Andreas; Mertens, Thomas G.; Verschelde, Henri
- Journal of High Energy Physics, Vol. 2019, Issue 9
Menagerie of AdS2 boundary conditions
journal, October 2017
- Grumiller, Daniel; McNees, Robert; Salzer, Jakob
- Journal of High Energy Physics, Vol. 2017, Issue 10
Eigenstate thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach
journal, October 2019
- Nayak, Pranjal; Sonner, Julian; Vielma, Manuel
- Journal of High Energy Physics, Vol. 2019, Issue 10
A New Large N Expansion for General Matrix–Tensor Models
journal, July 2019
- Ferrari, Frank; Rivasseau, Vincent; Valette, Guillaume
- Communications in Mathematical Physics, Vol. 370, Issue 2
The 1 / N Expansion of the Symmetric Traceless and the Antisymmetric Tensor Models in Rank Three
journal, August 2019
- Benedetti, Dario; Carrozza, Sylvain; Gurau, Razvan
- Communications in Mathematical Physics, Vol. 371, Issue 1
An introduction to the SYK model
journal, July 2019
- Rosenhaus, Vladimir
- Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 32
An SYK-like model without disorder
journal, October 2019
- Witten, Edward
- Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 47
The ${\imath }\epsilon $ prescription in the SYK model
journal, January 2018
- Gurau, Razvan
- Journal of Physics Communications, Vol. 2, Issue 1
Classical glasses, black holes, and strange quantum liquids
journal, November 2019
- Facoetti, Davide; Biroli, Giulio; Kurchan, Jorge
- Physical Review B, Vol. 100, Issue 20
Conformality of corrections in Sachdev-Ye-Kitaev-like models
journal, December 2019
- Dartois, Stéphane; Erbin, Harold; Mondal, Swapnamay
- Physical Review D, Vol. 100, Issue 12
Holography for tensor models
journal, February 2020
- de Mello Koch, Robert; Gossman, David; Tahiridimbisoa, Nirina Hasina
- Physical Review D, Vol. 101, Issue 4
Remarks on the Sachdev-Ye-Kitaev model
journal, November 2016
- Maldacena, Juan; Stanford, Douglas
- Physical Review D, Vol. 94, Issue 10
Analytical spectral density of the Sachdev-Ye-Kitaev model at finite
journal, September 2017
- García-García, Antonio M.; Verbaarschot, Jacobus J. M.
- Physical Review D, Vol. 96, Issue 6
Cut-and-Join Operators and Macdonald Polynomials From the 3-Schur Functions
journal, July 2019
- Morozov, A. Yu.
- Theoretical and Mathematical Physics, Vol. 200, Issue 1
Revealing Nonperturbative Effects in the SYK Model
journal, November 2019
- Aref’eva, I. Ya.; Volovich, I. V.; Khramtsov, M. A.
- Theoretical and Mathematical Physics, Vol. 201, Issue 2
Unusual view of the Schwarzian theory
journal, December 2018
- Belokurov, Vladimir V.; Shavgulidze, Evgeniy T.
- Modern Physics Letters A, Vol. 33, Issue 37
Thickening and sickening the SYK model
journal, January 2018
- Khveshchenko, Dmitri
- SciPost Physics, Vol. 5, Issue 1
Charged quantum fields in AdS$_2$
journal, January 2019
- Anninos, Dionysios; Hofman, Diego; Kruthoff, Jorrit
- SciPost Physics, Vol. 7, Issue 4
The ABC of Higher-Spin AdS/CFT
journal, January 2018
- Giombi, Simone; Klebanov, Igor; Tan, Zhong
- Universe, Vol. 4, Issue 1
Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model.
text, January 2018
- García-García, Antonio M.; Loureiro, Bruno; Romero-Bermúdez, Aurelio
- Apollo - University of Cambridge Repository
Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
text, January 2016
- García-García, Am; Verbaarschot, Jjm
- Apollo - University of Cambridge Repository
An Investigation of AdS$_2$ Backreaction and Holography
text, January 2016
- Engelsöy, Julius; Mertens, Thomas G.; Verlinde, Herman
- arXiv
The ABC of Higher-Spin AdS/CFT
preprint, January 2016
- Giombi, Simone; Klebanov, Igor R.; Tan, Zhong Ming
- arXiv
Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
text, January 2016
- García-García, Antonio M.; Verbaarschot, Jacobus J. M.
- arXiv
Black Holes and Random Matrices
text, January 2016
- Cotler, Jordan S.; Gur-Ari, Guy; Hanada, Masanori
- arXiv
Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N
text, January 2017
- García-García, Antonio M.; Verbaarschot, Jacobus J. M.
- arXiv
Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
text, January 2017
- Jian, Shao-Kai; Yao, Hong
- arXiv
Three Dimensional View of the SYK/AdS Duality
text, January 2017
- Das, Sumit R.; Jevicki, Antal; Suzuki, Kenta
- arXiv
Competition between Chaotic and Non-Chaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model
text, January 2017
- Chen, Xin; Fan, Ruihua; Chen, Yiming
- arXiv
Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
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Eigenstate thermalization in the Sachdev-Ye-Kitaev model
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- Narayan, Prithvi; Yoon, Junggi
- arXiv
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- Blake, Mike; Lee, Hyunseok; Liu, Hong
- arXiv
Exact moments of the Sachdev-Ye-Kitaev model up to order $1/N^2$
text, January 2018
- García-García, Antonio M.; Jia, Yiyang; Verbaarschot, Jacobus J. M.
- arXiv
Towards a bulk description of higher spin SYK
text, January 2018
- González, Hernán A.; Grumiller, Daniel; Salzer, Jakob
- arXiv
2PI effective action for the SYK model and tensor field theories
text, January 2018
- Benedetti, Dario; Gurau, Razvan
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The Schwarzian Theory - A Wilson Line Perspective
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- Blommaert, Andreas; Mertens, Thomas G.; Verschelde, Henri
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Symmetry Breaking in Coupled SYK or Tensor Models
text, January 2019
- Kim, Jaewon; Klebanov, Igor R.; Tarnopolsky, Grigory
- arXiv
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