Confining Phase of N=1 $Sp(N_c)$ Gauge Theories via M Theory Fivebrane

Abstract

The moduli space of vacua for the confining phase of N=1 $Sp(N_c)$ supersymmetric gauge theories in four dimensions is studied by M theory fivebrane. We construct M theory fivebrane configuration corresponding to the perturbation of superpotential in which the power of adjoint field is related to the number of NS'5 branes in type IIA brane configuration. We interpret the dyon vacuum expectation values in field theory results as the brane geometry and the comparison with meson vevs will turn out that the low energy effective superpotential with enhanced gauge group SU(2) is exact.

14 pages, latex

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• Confining Phase Superpotentials for SO/Sp Gauge Theories via Geometric Transition
• More on Meta-Stable Brane Configuration
• Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model
• N=1 Gauge Theory with Flavor from Fluxes
• Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane
• Phases of N=1 USp(2N_c) Gauge Theories with Flavors
• Phases of N=1 SO(N_c) Gauge Theories with Flavors
• N=2 Supersymmetric SO(N)/Sp(N) Gauge Theories from Matrix Model
• M theory and the ``integrating in'' method with an antisymmetric tensor
• Aspects of Confinement and Screening in M theory
• Meta-Stable Brane Configurations, Multiple NS5-Branes, and Rotated D6-Branes