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

## TL;DR

This paper analyzes correlation functions in the one-dimensional $
=2$ supersymmetric SYK model, computing 4-point functions via ladder diagrams, confirming supersymmetry consistency, and demonstrating maximal chaos.

## Contribution

It introduces the computation of 4-point functions in the $
=2$ supersymmetric SYK model using conformal eigenfunctions, including both symmetric and antisymmetric types, and verifies supersymmetry and chaos properties.

## Key findings

- Confirmed maximal chaos in the $
=2$ SYK model.
- Computed 4-point functions using ladder diagrams and conformal eigenfunctions.
- Verified consistency with $
=2$ supersymmetry.

## 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.