4 Seiberg-Witten solution to pure $SU\left(2\right)$ theory

We are finally prepared enough to start the analysis of the simplest of non-Abelian $\mathcal{𝒩}=2$ supersymmetric theory, namely the pure $SU\left(2\right)$ gauge theory. We mainly follow the presentation of the original paper [2], except that we use the Seiberg-Witten curve in the form first found in [21], which is more suited to the generalization later.