Discrete Painleve system for the partition function of $N_f=2$ $SU(2)$ supersymmetric gauge theory and its double scaling limit

Hiroshi Itoyama, Takeshi Oota, Katsuya Yano

We continue to study the matrix model of the $N_f=2$ $SU(2)$ case that represents the irregular conformal block. What provides us with the Painlevé system is not the instanton par…