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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, Latex, no figures, two references added

Scientific paper

10.1016/S0370-2693(96)01429-3

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 $SU(N_c)$ 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.

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