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arxiv: 1706.06078 · v2 · pith:UT3KWUHUnew · submitted 2017-06-19 · ✦ hep-th · cond-mat.str-el

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

classification ✦ hep-th cond-mat.str-el
keywords functionsmathcalmodelpointcorrelationeigenfunctionssupersymmetricalthough
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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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