Our next task is to study $\mathcal{\mathcal{N}}=2$ supersymmetric $SU\left(2\right)$ gauge theory with one hypermultiplet in the doublet representation. This is often called the $SU\left(2\right)$ theory with one ﬂavor, or more simply ${N}_{f}=1$. We will see that all the methods employed in the last section are readily adapted to this theory, too. We again follow the presentation of the original paper [3], but we use the Seiberg-Witten curve in a form more suitable for the generalization later. Appendix C of [48] is a good source where many diﬀerent forms of the Seiberg-Witten curves of $SU\left(2\right)$ theories are summarized.

5.1 Structure of the
$u$-plane

5.1.1 Schematic running of the coupling

5.1.2 Monodromies

5.2 The curve

5.3 Some notable features

5.1.1 Schematic running of the coupling

5.1.2 Monodromies

5.2 The curve

5.3 Some notable features