Monopole Condensation and Confining Phase of N=1 Gauge Theories Via M Theory Fivebrane

Abstract

The fivebrane of M theory is used in order to study the moduli space of vacua of confining phase N=1 supersymmetric gauge theories in four dimensions. The supersymmetric vacua correspond to the condensation of massless monopoles and confinement of photons. The monopole and meson vacuum expectation values are computed using the fivebrane configuration. The comparison of the fivebrane computation and the field theory analysis shows that at vacua with a classically enhanced gauge group SU(r) the effective superpotential obtained by the "integrating in" method is exact for r=2 but is not exact for r > 2. The fivebrane configuration corresponding to N=1 gauge theories with Landau-Ginzburg type superpotentials is studied. N=1 non-trivial fixed points are analyzed using the brane geometry.

47 pages, Latex, one figure, minor changes, reference added

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• A new topological aspect of the arbitrary dimensional topological defects
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• Nonperturbative Superpotentials and Compactification to Three Dimensions
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• Sp(N_c) Gauge Theories and M Theory Fivebrane
• Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane
• The Field Theory of Non-Supersymmetric Brane Configurations
• The Holomorphic Tension of Vortices
• Softly Broken MQCD and the Theta Angle
• The Off-shell M5-brane and Non-Perturbative Gauge Theory
• Matrix Models, Argyres-Douglas singularities and double scaling limits
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• Double Scaling Limits in Gauge Theories and Matrix Models
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• Singularities of N=1 Supersymmetric Gauge Theory and Matrix Models
• Classical Spin Chains and Exact Three-dimensional Superpotentials
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• M theory and the ``integrating in'' method with an antisymmetric tensor
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• A Note on Softly Broken MQCD
• Aspects of Confinement and Screening in M theory
• Dual Interpretations of Seiberg-Witten and Dijkgraaf-Vafa curves
• The Super-potential and Holomorphic properties of the MQCD