M Theory Fivebrane and Confining Phase of N=1 Gauge Theories
arXiv:hep-th/9712005 · doi:10.1016/S0393-0440(98)00026-6
Abstract
The moduli space of vacua for the confining phase of N=1 supersymmetric gauge theories in four dimensions is analyzed by studying the M theory fivebrane. The type IIA brane configuration consists of a single NS5 brane, multiple copies of NS'5 branes, D4 branes between them, and D6 branes intersecting D4 branes. We construct M theory fivebrane configuration corresponding to the superpotential perturbation where the power of adjoint field is connected to the number of NS'5 branes. At a singular point in the moduli space where mutually local dyons become massless, the quadratic degeneracy of the N=2 hyperelliptic curve determines whether this singular point gives a N=1 vacua or not. The comparison of the meson vevs in M theory fivebrane configuration with field theory results turns out that the effective superpotential by the integrating in method with enhanced gauge group SU(2) is exact.
34 pages, latex
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- Confining Phase Superpotentials for SO/Sp Gauge Theories via Geometric Transition
- More on Meta-Stable Brane Configuration
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- N=1 Gauge Theory with Flavor from Fluxes
- Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane
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- Meta-Stable Brane Configurations, Multiple NS5-Branes, and Rotated D6-Branes