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Title: $$\mathcal{N}=\left(0, 2\right)$$ SYK, chaos and higher-spins

Abstract

We study a 2-dimensional SYK-like model with \( \mathcal{N}=\left(0,\ 2\right) \) supersymmetry. The model describes N chiral supermultiplets and M Fermi supermultiplets with a (q + 1)- field interaction. We solve the model analytically and numerically in the N $$\gg$$ 1, M$$\gg$$ 1 limit with \( \mu \equiv \frac{M}{N} \) being a free parameter. Two distinct higher-spin symmetries emerge when the μ parameter approaches the two ends of its range. This is verified by the appearance of conserved higher-spin operators and the vanishing of chaotic behaviors in the two limits. Therefore this model provides a manifest realization of the widely believed connection between SYK-like models and higher-spin theories. In addition, as the parameter μ varies we find the largest Lyapunov exponent of this model to be slightly larger than that in models with non-chiral supersymmetry.

Authors:
 [1]
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  1. Brown Univ., Providence, RI (United States)
Publication Date:
Research Org.:
Brown Univ., Providence, RI (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1611328
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: 2018; Journal Issue: 12; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; 1/N Expansion; extended supersymmetry; higher spin symmetry; Conformal Field Theory

Citation Formats

Peng, Cheng. $\mathcal{N}=\left(0, 2\right)$ SYK, chaos and higher-spins. United States: N. p., 2018. Web. doi:10.1007/jhep12(2018)065.
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Peng, Cheng. $\mathcal{N}=\left(0, 2\right)$ SYK, chaos and higher-spins. United States. https://doi.org/10.1007/jhep12(2018)065
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Peng, Cheng. Tue . "$\mathcal{N}=\left(0, 2\right)$ SYK, chaos and higher-spins". United States. https://doi.org/10.1007/jhep12(2018)065. https://www.osti.gov/servlets/purl/1611328.
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@article{osti_1611328,
title = {$\mathcal{N}=\left(0, 2\right)$ SYK, chaos and higher-spins},
author = {Peng, Cheng},
abstractNote = {We study a 2-dimensional SYK-like model with \( \mathcal{N}=\left(0,\ 2\right) \) supersymmetry. The model describes N chiral supermultiplets and M Fermi supermultiplets with a (q + 1)- field interaction. We solve the model analytically and numerically in the N $\gg$ 1, M$\gg$ 1 limit with \( \mu \equiv \frac{M}{N} \) being a free parameter. Two distinct higher-spin symmetries emerge when the μ parameter approaches the two ends of its range. This is verified by the appearance of conserved higher-spin operators and the vanishing of chaotic behaviors in the two limits. Therefore this model provides a manifest realization of the widely believed connection between SYK-like models and higher-spin theories. In addition, as the parameter μ varies we find the largest Lyapunov exponent of this model to be slightly larger than that in models with non-chiral supersymmetry.},
doi = {10.1007/jhep12(2018)065},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2018,
place = {United States},
year = {Tue Dec 11 00:00:00 EST 2018},
month = {Tue Dec 11 00:00:00 EST 2018}
}
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