N=2 Moduli Spaces and N=1 Dualities for SO(n_c) and USp(2n_c) SuperQCD

Abstract

We determine the exact global structure of the moduli space of $N=2$ supersymmetric $SO(n)$ and $\USp(2n)$ gauge theories with matter hypermultiplets in the fundamental representations, using the non-renormalization theorem for the Higgs branches and the exact solutions for the Coulomb branches. By adding an $(N=2)$--breaking mass term for the adjoint chiral field and varying the mass, the $N=2$ theories can be made to flow to either an ``electric'' $N=1$ supersymmetric QCD or its $N=1$ dual ``magnetic'' version. We thus obtain a derivation of the $N=1$ dualities of Seiberg.

20 pages, harvmac (b)

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