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

We discuss duality in N = 1 SUSY gauge theories in Seiberg’s conformal window, (3Nc/2) < Nf < 3Nc. 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.