M Theory Fivebrane and Confining Phase of N=1 $SO(N_c)$ Gauge Theories

Details M Theory Fivebrane and Confining Phase of N=1 $SO(N_c)$ Gauge Theories M Theory Fivebrane and Confining Phase of N=1 $SO(N_c)$ Gauge Theories

1997-11-30

arxiv.org/abs/hep-th/9712005v1

J.Geom.Phys. 28 (1998) 163-194

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, latex

Scientific paper

10.1016/S0393-0440(98)00026-6

The moduli space of vacua for the confining phase of N=1 $SO(N_c)$ 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 $SO(N_c)$ 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.

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