Zamolodchikov recurrence relation and modular properties of effective coupling in $\mathcal{N}=2$ SQCD

Aleksei Bykov, Ekaterina Sysoeva

In this work, we present a recurrence relation for the instanton partition function of the $\mathcal{N}=2$ SYM $SU(N)$ gauge theory with $2N$ fundamental multiplets. The main diffi…