Large Order Behavior Near the AD Point: The Case of 𝒩 = 2, su(2), Nf = 2

A non-perturbative effect in κ (renormalized string coupling) obtained from the large order behavior in the vicinity of the prototypical Argyres–Douglas critical point of su(2), Nf = 2, N =2 supersymmetric gauge theory can be studied in the Gross–Witten–Wadia unitary matrix model with the log term: one as the work done against the barrier of the effective potential by a single eigenvalue lifted from the sea and the other as a non-perturbative function contained in the solutions of the nonlinear differential Painlevé II equation that goes beyond the asymptotic series. The leading behaviors are of the form exp \[-(4/3)(1/κ )] \, [1, (s/K)^3/2]\. We make comments on their agreement.