Superconformal N=1 Gauge Theories, beta-Function Invariants and their Behavior under Seiberg Duality

Details Superconformal N=1 Gauge Theories, beta-Function Invariants and their Behavior under Seiberg Duality Superconformal N=1 Gauge Theories, beta-Function Invariants and their Behavior under Seiberg Duality

1998-04-09

arxiv.org/abs/hep-th/9804074v2

Phys.Lett.B430:254-263,1998

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, revised version contains two changes in citation

Scientific paper

10.1016/S0370-2693(98)00552-8

In this paper we discuss some aspects of the behavior of superconformal N=1 models under Seiberg's duality. Our claim is that if an electric gauge theory is superconformal on some marginal subspace of all coupling constants then its magnetic dual must be also superconformal on a corresponding moduli space of dual couplings. However this does not imply that the magnetic dual of a completely finite N=1 gauge theory is again finite. Moreover we generalize this statement conjecturing that also for non-superconformal N=1 models the determinant of the beta-function equations is invariant under Seiberg duality. During the course of this investigation we construct some superconformal N=1 gauge theories which were not yet discussed before.

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