Correlators in the N= 2 supersymmetric SYK model

Abstract

We study correlation functions in the one-dimensional 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 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 N= 2 supersymmetry. We also confirm the maximally chaotic behavior of this model and comment briefly on its 6-point functions.