We are ﬁnally prepared enough to start the analysis of the simplest of non-Abelian $\mathcal{\mathcal{N}}=2$ 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.

4.1 One-loop running and the monodromy at inﬁnity

4.2 Behavior in the strongly-coupled region

4.3 The Seiberg-Witten solution

4.3.1 The curve

4.3.2 The monodromy ${M}_{\infty}$

4.3.3 The monodromies ${M}_{\pm}$

4.4 Less supersymmetric cases

4.4.1 $\mathcal{\mathcal{N}}=1$ system

4.4.2 Pure bosonic system

4.5 $SU\left(2\right)$ vs $SO\left(3\right)$

4.2 Behavior in the strongly-coupled region

4.3 The Seiberg-Witten solution

4.3.1 The curve

4.3.2 The monodromy ${M}_{\infty}$

4.3.3 The monodromies ${M}_{\pm}$

4.4 Less supersymmetric cases

4.4.1 $\mathcal{\mathcal{N}}=1$ system

4.4.2 Pure bosonic system

4.5 $SU\left(2\right)$ vs $SO\left(3\right)$