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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Peng, C., Spradlin, M. & Volovich, A. Correlators in the \( \mathcal{N}=2 \) supersymmetric SYK model. J. High Energ. Phys. 2017, 202 (2017). https://doi.org/10.1007/JHEP10(2017)202
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DOI: https://doi.org/10.1007/JHEP10(2017)202