In the special case in which the IR fixed point is a nontrivial interacting superconformal field theory.
For a superconformal field theory, the anomalous scaling dimension of a chiral superfield
The dual theory contains a fundamental "meson" chiral superfield M which is color neutral but transforms as a bifundamental under the flavor symmetries.
Being an S-duality, Seiberg duality relates the strong coupling regime with the weak coupling regime, and interchanges chromoelectric fields (gluons) with chromomagnetic fields (gluons of the dual gauge group), and chromoelectric charges (quarks) with nonabelian 't Hooft–Polyakov monopoles.
The global symmetries relate distinct physical configurations, and so they need to agree in any dual description.
The role of the additional fundamental meson superfield M in the dual theory is very crucial in matching the anomalies.
The global gravitational anomalies also match up as the parity of the number of chiral fields is the same in both theories.
The simplest of these is a super QCD with the flavor group gauged and an additional term in the superpotential.
[3] Whether Seiberg duality exists in 3-dimensional nonabelian gauge theories with only 4 supercharges is not known, although it is conjectured in some special cases with Chern–Simons terms.