Matching Conditions and Duality in N=1 SUSY Gauge Theories in the Conformal Window

Abstract

We discuss duality in $N=1$ SUSY gauge theories in Seiberg's conformal window, $(3N_c/2)<N_f<3N_c$. The 't Hooft consistency conditions -- the basic tool for establishing the infrared duality -- are considered taking into account higher order $\alpha$ corrections. The conserved (anomaly free) $R$ current is built to all orders in $\alpha$. Although this current contains all orders in $\alpha$ 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.

Latex, 25 pages, 1 figure. Second revision: we prove that the 't Hooft consistency conditions for the external anomalies of the conserved R current contain no corrections beyond one loop

References in corpus (2)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory

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