Remarks on the Sachdev-Ye-Kitaev model
Open accessAbstract
The authors study in detail the quantum mechanical model of $N$ Majorana fermions with random interactions of a few fermions at a time (Sachdev-Ye-Kitaev model) in the large $N$ limit. At low energies, the system is strongly interacting and an emergent conformal symmetry develops. Performing technical calculations, the authors elucidate a number of properties of the model near the conformal point.
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In the limit N → ∞ at fixed βJ ≫ 1, the SYK model appears to become holographic and has many features resembling nearly-AdS2 gravity.
“In the limit N → ∞, at fixed βJ 1, the SYK model appears to become holographic; it has many features that resemble nearly-AdS 2 gravity.”
From Entanglement wedge reconstruction and the information paradox (2020) · cites this paper as [91]
Cites
Gapless spin-fluid ground state in a random quantum Heisenberg magnet
Sachdev, S., & Ye, J. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.3339 · Cited by 1,910 · see citing works
Black Holes: Complementarity or Firewalls?
Almheiri, A., Marolf, D., Polchinski, J., & Sully, J. (2012) · arXiv · doi:10.48550/arxiv.1207.3123 · Cited by 1,471
Shenker, S. H., & Stanford, D. (2015) · Journal of High Energy Physics · doi:10.1007/jhep05(2015)132 · Cited by 604 · see citing works
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Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space
Maldacena, J., Stanford, D., & Yang, Z. (2016) · Progress of Theoretical and Experimental Physics · doi:10.1093/ptep/ptw124 · Cited by 1,068 · see citing works
Self-citationEntanglement wedge reconstruction and the information paradox
Penington, G. (2020) · Journal of High Energy Physics · doi:10.1007/jhep09(2020)002 · Cited by 968 · see citing works
“This model has been studied in great depth in the last few years [88–93]; here we provide only the bare minimum of background detail necessary for our purposes.”
BackgroundThe entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
Almheiri, A., Engelhardt, N., Marolf, D., & Maxfield, H. (2019) · Journal of High Energy Physics · doi:10.1007/jhep12(2019)063 · Cited by 818 · see citing works
Jensen, K. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.111601 · Cited by 695 · see citing works
An investigation of AdS2 backreaction and holography
Engelsöy, J., Mertens, T. G., & Verlinde, H. (2016) · Journal of High Energy Physics · doi:10.1007/jhep07(2016)139 · Cited by 622 · see citing works
Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
García-García, A. M., & Verbaarschot, J. J. M. (2016) · Physical Review D · doi:10.1103/physrevd.94.126010 · Cited by 325 · see citing works
Sachdev–Ye–Kitaev model as Liouville quantum mechanics
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The factorization problem in Jackiw-Teitelboim gravity
Harlow, D., & Jafferis, D. (2020) · Journal of High Energy Physics · doi:10.1007/jhep02(2020)177 · Cited by 227 · see citing works
Two dimensional nearly de Sitter gravity
Maldacena, J., Turiaci, G. J., & Yang, Z. (2021) · Journal of High Energy Physics · doi:10.1007/jhep01(2021)139 · Cited by 190 · see citing works
Self-citationThe statistical mechanics of near-extremal black holes
Iliesiu, L. V., & Turiaci, G. J. (2021) · Journal of High Energy Physics · doi:10.1007/jhep05(2021)145 · Cited by 190 · see citing works
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Mertens, T. G., & Turiaci, G. J. (2023) · Living Reviews in Relativity · doi:10.1007/s41114-023-00046-1 · Cited by 181 · see citing works
Liouville quantum gravity — holography, JT and matrices
Mertens, T. G., & Turiaci, G. J. (2021) · Journal of High Energy Physics · doi:10.1007/jhep01(2021)073 · Cited by 130 · see citing works
Free energy from replica wormholes
Engelhardt, N., Fischetti, S., & Maloney, A. (2021) · Physical Review D · doi:10.1103/physrevd.103.046021 · Cited by 90 · see citing works
Complexity of Jackiw-Teitelboim gravity
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Flat space holography and the complex Sachdev-Ye-Kitaev model
Afshar, H., González, H. A., Grumiller, D., & Vassilevich, D. (2020) · Physical Review D · doi:10.1103/physrevd.101.086024 · Cited by 76 · see citing works
Nearly AdS2 sugra and the super-Schwarzian
Förste, S., & Golla, I. (2017) · Physics Letters B · doi:10.1016/j.physletb.2017.05.039 · Cited by 76 · see citing works
Product spectrum ansatz and the simplicity of thermal states
Martyn, J., & Swingle, B. (2019) · Physical Review A · doi:10.1103/physreva.100.032107 · Cited by 66 · see citing works
Does the SYK model have a spin glass phase?
Gur-Ari, G., Mahajan, R., & Vaezi, A. (2018) · Journal of High Energy Physics · doi:10.1007/jhep11(2018)070 · Cited by 58 · see citing works
Matrix ensembles with global symmetries and ’t Hooft anomalies from 2d gauge theory
Kapec, D., Mahajan, R., & Stanford, D. (2020) · Journal of High Energy Physics · doi:10.1007/jhep04(2020)186 · Cited by 45 · see citing works
Self-citationTowards black hole evaporation in Jackiw-Teitelboim gravity
Mertens, T. G. (2019) · Journal of High Energy Physics · doi:10.1007/jhep07(2019)097 · Cited by 41 · see citing works
On 2D gauge theories in Jackiw-Teitelboim gravity
Iliesiu, L. V. (2019) · arXiv · doi:10.48550/arxiv.1909.05253 · Cited by 33 · see citing works
Jackiw-Teitelboim model coupled to conformal matter in the semi-classical limit
Moitra, U., Sake, S. K., Trivedi, S. P., & Vishal, V. (2020) · Journal of High Energy Physics · doi:10.1007/jhep04(2020)199 · Cited by 22 · see citing works
Replica symmetry breaking in random matrix model: A toy model of wormhole networks
Okuyama, K. (2020) · Physics Letters B · doi:10.1016/j.physletb.2020.135280 · Cited by 18 · see citing works
Balthazar, B., Giveon, A., Kutasov, D., & Martinec, E. J. (2022) · Journal of High Energy Physics · doi:10.1007/jhep01(2022)008 · Cited by 3 · see citing works
- Authors
- Maldacena, J., & Stanford, D.
- Affiliations
- Institute for Advanced Study (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2016-11-04
- Volume
- 94
- Issue
- 10
- ISSN
- 2470-0010 (ISSN-L)
- 2470-0029
- OpenAlex
- W2344612405
- Cited by
- 1,852
- References
- 3
- Citations by year
- 2026: 114 · 2025: 182 · 2024: 153 · 2023: 230 · 2022: 199 · 2021: 258 · 2020: 210 · 2019: 219 · 2018: 160 · 2017: 108 · 2016: 17 · 2015: 1
- FWCI
- 79.44
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical review. D/Physical review. D. (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- Funders
- U.S. Department of Energy (de-sc0009988)
- Simons Foundation (385600)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- Sachdev-Ye-Kitaev model, Majorana fermions, random interactions, large N limit, emergent conformal symmetry, strongly interacting systems, low-energy physics
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