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

Ian I. Kogan·Mikhail Shifman·Arkady Vainshtein
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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 $α$ 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.

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Ian I. Kogan, Mikhail Shifman, Arkady Vainshtein. 1995-09-16. Matching Conditions and Duality in N=1 SUSY Gauge Theories in the Conformal Window. https://doi.org/10.1103/physrevd.53.4526%2010.1103%2Fphysrevd.59.109903

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