Matching conditions and duality inN=1 SUSY gauge theories in the conformal window

We discuss duality in N=1 SUSY gauge theories in Seiberg's conformal window, 3Nc/2Nf3Nc. The 't Hooft consistency conditions, the basic tool for establishing the infrared duality, are considered taking into account higher order {α} corrections. The conserved (anomaly-free) R current is built to all orders in {α}. Although this current contains all orders in {α} the 't Hooft consistency conditions for this current are shown to be one loop. This observation thus justifies Seiberg's matching procedure. We also briefly discuss the inequivalence of the ``electric'' and ``magnetic'' theories at short distances. {} 1996 The American Physical Society.