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Supersymmetric SYK model and random matrix theory

Li, Tianlin and Liu, Junyu and Xin, Yuan and Zhou, Yehao (2017) Supersymmetric SYK model and random matrix theory. Journal of High Energy Physics, 2017 (6). Art. No. 111. ISSN 1029-8479.

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In this paper, we investigate the effect of supersymmetry on the symmetry classification of random matrix theory ensembles. We mainly consider the random matrix behaviors in the N = 1 supersymmetric generalization of Sachdev-Ye-Kitaev (SYK) model, a toy model for two-dimensional quantum black hole with supersymmetric constraint. Some analytical arguments and numerical results are given to show that the statistics of the supersymmetric SYK model could be interpreted as random matrix theory ensembles, with a different eight-fold classification from the original SYK model and some new features. The time-dependent evolution of the spectral form factor is also investigated, where predictions from random matrix theory are governing the late time behavior of the chaotic hamiltonian with supersymmetry.

Item Type:Article
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URLURL TypeDescription Paper
Liu, Junyu0000-0003-1669-8039
Additional Information:© 2017 The Author(s). Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: February 16, 2017. Revised: May 15, 2017. Accepted: June 5, 2017. Published: June 21, 2017. We thank Xie Chen, Kevin Costello, Liam Fitzpatrick, Davide Gaiotto, Yingfei Gu, Nicholas Hunter-Jones, Alexei Kitaev, Andreas Ludwig, Evgeny Mozgunov and Alexandre Streicher for valuable discussions. We thank Takuya Kanazawa for comments on the draft. JL is deeply grateful to Guy Gur-Ari for communications on the symmetry of the original and supersymmetric SYK models. TL, JL, YX and YZ are supported by graduate student programs of University of Nebraska, Caltech, Boston University and Perimeter Institute.
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University of NebraskaUNSPECIFIED
Boston UniversityUNSPECIFIED
Perimeter InstituteUNSPECIFIED
Subject Keywords:2D Gravity Black Holes Random Systems
Issue or Number:6
Record Number:CaltechAUTHORS:20170628-103518658
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Official Citation:Li, T., Liu, J., Xin, Y. et al. J. High Energ. Phys. (2017) 2017: 1. doi:10.1007/JHEP06(2017)111
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78643
Deposited By: Ruth Sustaita
Deposited On:28 Jun 2017 18:13
Last Modified:09 Mar 2020 13:19

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