N=2 Curves and a Coulomb Phase in N=1 SUSY Gauge Theories with Adjoint and Fundamental Matters

Abstract

We study low-energy effective superpotentials for the phase with a confined photon in N=1 supersymmetric gauge theories with an adjoint matter $\Phi$ and fundamental flavors $Q,\tilde{Q}$. Arbitrary classical gauge groups are considered. The results are used to derive the hyperelliptic curves which describe the Coulomb phase of N=2 supersymmetric QCD with classical gauge groups. These curves are in agreement with those proposed earlier by several authors. Our results also produce the curves relevant to describe the Coulomb phase of N=1 theories with a superpotential of the form $\tilde{Q}{\Phi }^{l}Q$.

arXiv comment12 pages, Latex, no figures

References in corpus (17)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
• The Coulomb Phase of N=2 Supersymmetric QCD
• On the Quantum Moduli Space of Vacua of $N=2$ Supersymmetric $SU(N_c)$ Gauge Theories
• Duality, Monopoles, Dyons, Confinement and Oblique Confinement in Supersymmetric SO(N_c) Gauge Theories
• Exact Superpotentials in Four Dimensions
• The Vacuum Structure of N=2 SuperQCD with Classical Gauge Groups
• Phases of N=1 supersymmetric gauge theories in four dimensions
• Chiral Rings, Singularity Theory and Electric-Magnetic Duality
• On the Quantum Moduli Space of N=2 Supersymmetric Gauge Theories
• ``Integrating in'' and exact superpotentials in 4d
• Massless Monopoles Via Confining Phase Superpotentials
• Confining Phase of N=1 Supersymmetric Gauge Theories and N=2 Massless Solitons
• More Results in $N=1$ Supersymmetric Gauge Theories
• Effective Potentials and Vacuum Structure in N=1 Supersymmetric Gauge Theories

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