Spectral networks are certain collections of oriented paths on a Riemann surface C equipped with some extra data, originating from the study of counting BPS states in 4d supersymmetric field theories. A mathematical application of these is to produce a class of Darboux coordinates for moduli spaces of flat connections on bundles over C. In this talk we discuss the possibility of using these coordinates for computing the low energy effective superpotentials for a class of theories associated to Riemann surfaces. This is accomplished by looking at the subspace of “opers”, a particular type of flat connection which is gauge-equivalent to an ODE, so the physical problem is mapped to a geometric one. Physics prerequisites will be kept to a minimum.