A note on the SYK model with complex fermions

Abstract

We consider a version of the Sachdev-Ye-Kitaev model with complex fermions. We apply the shadow formalism to find four-point functions in the leading order in $1/N$ and dimensions of operators present in the theory. We also compute the retarded kernel and show that the Lyapunov exponent for the mode corresponding to the $U(1)$ charge is zero.

32 pages

References in corpus (3)

• An Investigation of AdS${}_2$ Backreaction and Holography
• A Generalization of Sachdev-Ye-Kitaev
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model

Cited by in corpus (4)

• All point correlation functions in SYK
• Diffusion in higher dimensional SYK model with complex fermions
• Phases Of Melonic Quantum Mechanics
• Note on global symmetry and SYK model