Confining phase of N = 1 supersymmetric gauge theories and N = 2 massless solitons

Effective superpotentials for the phase with a confined photon are obtained in N = 1 supersymmetric gauge theories. We use the results to derive the hyperelliptic curves which describe the Coulomb phase of N = 2 theories with classical gauge groups, and thus extending the prior result for SU(Nc) gauge theory by Elitzur et al. Moreover, adjusting the coupling constants in N = 1 effective superpotentials to the values of N = 2 non-trivial critical points we find new classes of N = 1 superconformal field theories with an adjoint matter with a superpotential.