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

Abstract

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.

15 pages, Latex, no figures, two references added

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• Branches of N=1 Vacua and Argyres-Douglas Points
• Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model
• N=2 Curves and a Coulomb Phase in N=1 SUSY Gauge Theories with Adjoint and Fundamental Matters
• M Theory Fivebrane and Confining Phase of N=1 $SO(N_c)$ Gauge Theories
• Picard-Fuchs Equations and Prepotential in N=2 Supersymmetric G_{2} Yang-Mills Theory
• Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane
• The Coulomb Phase in N=1 Gauge Theories With a LG-Type Superpotenetial
• Phases of N=1 USp(2N_c) Gauge Theories with Flavors
• Phases of N=1 SO(N_c) Gauge Theories with Flavors
• Classification of the N=1 Seiberg-Witten Theories
• Exceptional Seiberg-Witten Geometry with Massive Fundamental Matters
• N=2 Supersymmetric SO(N)/Sp(N) Gauge Theories from Matrix Model
• Singularities of N=1 Supersymmetric Gauge Theory and Matrix Models
• On the N=1* Gauge Theory on a Circle and Elliptic Integrable Systems
• M theory and the ``integrating in'' method with an antisymmetric tensor
• Glueball Superfield and Argyres Douglas Points
• On the Multi Trace Superpotential and Corresponding Matrix Model