Correlators in the N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model

Abstract

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

Keywords

• 1/N Expansion
• Extended Supersymmetry
• Field Theories in Lower Dimensions
• AdS-CFT Correspondence