  We find a late times approximation for the SYK spectral form factor from a
large $N$ steepest descent version of the path integral over two replica
collective fields. Main ingredients are a suitable uv regularization of the two
replica kinetic operator, the property of its Fourier transform and some
spectral analysis of the four point function two replica ladder kernel.

High Energy Physics - Theory;Disordered Systems and Neural Networks;Strongly Correlated Electrons;Quantum Physics