generalization of the van Diejen model from the minimal conformal matter.

We study superconformal indices of 4 compactifications of the 6 minimal conformal matter theories on a punctured Riemann surface. Introduction of supersymmetric surface defect in these theories is done at the level of the index by the action of the finite difference operators on the corresponding indices. There exist at least three different types of such operators according to three types of punctures with and global symmetries.