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

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

1997-08-07

arxiv.org/abs/hep-th/9708044v2

Nucl.Phys.B511:155-196,1998

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0550-3213(97)00731-1

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.

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