Confining Phase of N=1 Supersymmetric Gauge Theories and N=2 Massless Solitons

Original · EN

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.