Superconducting Fluctuations in the Yukawa-SYK Model

The Yukawa-SYK (YSYK) model describing a system of correlated electrons randomly coupled to bosons has recently attracted much attention due to its resemblance to strange metals. It also allows one to consider electron-boson superconductivity in the strong-coupling regime, making the YSYK model a promising framework for qualitative studies of strange metal/superconductor transitions. However, the properties of the metallic sector of a system may be impacted by fluctuations of the superconducting order parameter. We argue that in the YSYK model, superconducting fluctuations play a crucial role in the formation of the large-N saddle point solution of the model and lead to important non-perturbative effects in the metallic regime.