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

Peng, Cheng

doi:10.1007/jhep12(2018)065

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

Journal Article · Tue Dec 11 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep12(2018)065· OSTI ID:1611328

Peng, Cheng ^[1]

Brown Univ., Providence, RI (United States)

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.

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Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010010

OSTI ID:: 1611328

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 12; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 20 works

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