We studied operator algebraic approach to super conformal field theory with S. Carpi and R. Longo. We first established basics of representation theory of super nets in algebraic quantum field theory and studied representation theory of the N=1 super Virasoro algebras in the context of operator algebras. We further studied properties of super charge operators for modular nets, which we introduced earlier, and obtained a relation between the Fredholm index and the Jones index for the first time.