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

TL;DR

This paper precisely characterizes the moduli spaces of N=2 supersymmetric SO(n) and USp(2n) gauge theories with fundamental matter, and derives N=1 dualities by breaking supersymmetry and flowing to different theories.

Contribution

It provides an exact determination of the moduli space structures and derives N=1 Seiberg dualities from N=2 theories through controlled supersymmetry breaking.

Findings

Exact global structure of moduli spaces for SO(n) and USp(2n) theories.

Derivation of N=1 dualities from N=2 theories via mass deformation.

Flow to electric and magnetic N=1 SQCD from N=2 theories.

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.