The Vacuum Structure of N=2 SuperQCD with Classical Gauge Groups

Details The Vacuum Structure of N=2 SuperQCD with Classical Gauge Groups The Vacuum Structure of N=2 SuperQCD with Classical Gauge Groups

1995-09-30

arxiv.org/abs/hep-th/9509175v1

Nucl.Phys. B461 (1996) 437-459

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, harvmac, 1 figure included using epsf.tex

Scientific paper

10.1016/0550-3213(95)00661-3

We determine the vacuum structure of N=2 supersymmetric QCD with fundamental quarks for gauge groups SO(n) and Sp(2n), extending prior results for SU(n). The solutions are all given in terms of families of hyperelliptic Riemann surfaces of genus equal to the rank of the gauge group. In the scale invariant cases, the solutions all have exact S-dualities which act on the couplings by subgroups of PSL(2,Z) and on the masses by outer automorphisms of the flavor symmetry. They are shown to reproduce the complete pattern of symmetry breaking on the Coulomb branch and predict the correct weak--coupling monodromies. Simple breakings with squark vevs provide further consistency checks involving strong--coupling physics.

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