On O(Nc) d=3 N=2 supersymmetric QCD Theories
Abstract
We study three dimensional N=2 supersymmetric QCD theories with O(Nc) gauge groups and with Nf chiral multiplets in the vector representation. We argue that for Nf < Nc-2 there is a runaway potential on the moduli space and no vacuum. For Nf >= Nc-2 there is a moduli space also in the quantum theory, and for Nf >= Nc-1 there is a superconformal fixed point at the origin of this moduli space that has a dual description as the low-energy fixed point of an O(Nf-Nc+2) gauge theory. We test this duality in various ways; in some cases the duality for an O(2) gauge theory may be related to the known duality for U(1) gauge theories. We also discuss real mass deformations, which allow to connect theories with a different Chern-Simons level. This allows us to connect our duality with the known duality in O(Nc) theories with a Chern-Simons term of level k, where the dual gauge group is given by O(Nf+|k|-Nc+2).
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