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arXiv · 1706.06078

Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model

Cheng Peng·Marcus Spradlin·Anastasia Volovich
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Abstract

We study correlation functions in the one-dimensional $\mathcal{N}=2$ supersymmetric SYK model. The leading order 4-point correlation functions are computed by summing over ladder diagrams expanded in a suitable basis of conformal eigenfunctions. A novelty of the $\mathcal{N}=2$ model is that both symmetric and antisymmetric eigenfunctions are required. Although we use a component formalism, we verify that the operator spectrum and 4-point functions are consistent with $\mathcal{N}=2$ supersymmetry. We also confirm the maximally chaotic behavior of this model and comment briefly on its 6-point functions.

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Cheng Peng, Marcus Spradlin, Anastasia Volovich. 2017-07-28. Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model. https://doi.org/10.1007/jhep10(2017)202

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