Comment on anomaly matching in N = 1 supersymmetric QCD

An attempt is made at a systematic approach to anomaly matching problem in non-Abelian electric-magnetic duality in N = 1 supersymmetric QCD. A strategy we employ is somewhat analogous to anomaly analyses in grand unified models where the anomaly cancellation becomes more transparent if one embeds SU(5) multiplets into a multiplet of (anomaly-free) SO(10). A complication arises in the treatment of U R (1) 3 matching where U R (1) is anomaly-free R symmetry. It is noted that a relatively systematic analysis of the anomaly matching is possible if one considers the formal breaking sequence of color gauge symmetry: SU(Nf )c → SU(Nc)c × SU(Ñc)c with Nf = Nc + Ñc , where Nf stands for the number of massless quarks.