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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. http://resolver.caltech.edu/CaltechAUTHORS:20170628-103518658

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Abstract

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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/JHEP06(2017)111DOIArticle
https://link.springer.com/article/10.1007%2FJHEP06%282017%29111PublisherArticle
https://arxiv.org/abs/1702.01738arXivDiscussion Paper
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.
Funders:
Funding AgencyGrant Number
University of NebraskaUNSPECIFIED
CaltechUNSPECIFIED
Boston UniversityUNSPECIFIED
Perimeter InstituteUNSPECIFIED
Subject Keywords:2D Gravity Black Holes Random Systems
Record Number:CaltechAUTHORS:20170628-103518658
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170628-103518658
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
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:28 Jun 2017 18:13
Last Modified:20 Jul 2017 15:33

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