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We develop a systematic and unified random matrix theory to classify Sachdev-Ye-Kitaev (SYK) and supersymmetric (SUSY) SYK models and also work out the structure of the energy levels in one periodic table.
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Y. Y. Atas, E. Bogomolny, O. Giraud, and G. Roux, Distribution of the ratio of consecutive level spacings in random matrix ensembles. Phys. Rev. Lett. 110, 084101 (2013)
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S. Sachdev, Bekenstein-Hawking Entropy and Strange Metals, Phys. Rev. X 5, 041025 (2015)
D. J. Gross and V. Rosenhaus, A Generalization of Sachdev-Ye-Kitaev, J. High Energy Phys. 02 (2017) 093
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Thomas G. Mertens, Gustavo J. Turiaci, Herman L. Verlinde, Solving the Schwarzian via the Conformal Bootstrap, J. High Energy Phys. 08 (2017) 136
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Douglas Stanford, Edward Witten, Fermionic Localization of the Schwarzian Theory, J. High Energy Phys. 10 (2017) 008
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Y.-Z. You, A. W. W. Ludwig, and C. Xu, Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States, Phys. Rev. B 95, 115150 (2017)
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2015
Cited alongside, same era.
J. Polchinski and V. Rosenhaus, The Spectrum in the Sachdev-Ye-Kitaev Model, J. High Energy Phys. 04 (2016) 001
2016
Cited alongside, same era.
J. Maldacena and D. Stanford, Remarks on the Sachdev-Ye-Kitaev model, Phys. Rev. D 94, 106002 (2016)
2016
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D. Bagrets, A. Altland, and A. Kamenev, Sachdev-Ye-Kitaev model as Liouville quantum mechanics, Nucl. Phys. B 911, 191 (2016)
2016
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W. Fu and S. Sachdev, Numerical study of fermion and boson models with infinite-range random interactions, Phys. Rev. B 94, 035135 (2016)
2016
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A. M. García-García and J. J.M. Verbaarschot, Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model, Phys. Rev. D 94, 126010 (2016)
2016
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J. Maldacena, S. H. Shenker, and D. Stanford, A bound on chaos, J. High Energy Phys. 08 (2016) 106
2016
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For a review, see Ching-Kai Chiu, Jeffrey C.Y. Teo, Andreas P. Schnyder, and Shinsei Ryu, Classification of topological quantum matter with symmetries, Rev. Mod. Phys. 88, 035005 (2016)
2016
Cited alongside, same era.
2017
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J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H. Shenker, D. Stanford, A. Streicher, and M. Tezuka, Black Holes and Random Matrices, J. High Energy Phys. 05 (2017) 118
2017
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Tianlin Li, Junyu Liu, Yuan Xin, Yehao Zhou, Supersymmetric SYK model and random matrix theory, J. High Energy Phys. 1706 (2017) 111
2017
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Takuya Kanazawa, Tilo Wettig, Complete random matrix Complete random matrix classification of SYK models with 𝒩 = 0 , 1 \mathcal{N}=0,1 and 2 2 supersymmetry, J. High Energy Phys. 09 (2017) 050
2017
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For a review, see Xiao-Gang Wen, Colloquium: Zoo of quantum-topological phases of matter, Rev. Mod. Phys. 89, 041004 (2017)
2017
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Razvan Gurau, The complete 1 / N 1/N expansion of a SYK-like tensor model, Nucl. Phys. B 916, 386 (2017)
2017
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Igor R. Klebanov, Grigory Tarnopolsky, Uncolored Random Tensors, Melon Diagrams, and the SYK Models, Phys. Rev. D 95, 046004 (2017)
2017
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D.I. Pikulin and M. Franz, Black Hole on a Chip: Proposal for a Physical Realization of the Sachdev-Ye-Kitaev model in a Solid-State System, Phys. Rev. X 7, 031006 (2017). Aaron Chew, Andrew Essin, Jason Alicea, Approximating the Sachdev-Ye-Kitaev model with Majorana wires, Phys. Rev. B 96 121119 (2017); L. García-Álvarez, I.L. Egusquiza, L. Lamata, A. del Campo, J. Sonner, and E. Solano, Digital Quantum Simulation of Minimal AdS/CFT, Phys. Rev. Lett. 119, 040501 (2017)
2017
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Antonio M. García-García, Yiyang Jia, and Jacobus J. M. Verbaarschot, Universality and Thouless energy in the supersymmetric Sachdev-Ye-Kitaev model, Phys. Rev. D 97, 106003 (2018)
2018
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