Reduction of dual theories - art. no. 105004

In view of the presence of a superpotential, the dual of a gauge theory suc h as SQCD contains two coupling parameters. The method of the reduction of couplings is used in order to express the parameter lambda of the superpote ntial in terms of the dual gauge coupling g. In the conformal window and ab ove it, a unique, isolated solution is obtained. It is given by lambda(g(2) ) = g(2) f. Here fis a function of the number of colors and the number of f lavors, and it is known explicitly. This solution is valid to all orders in the asymptotic expansion, and it is the appropriate choice for the dual th eory. The same solution exists in the free magnetic interval. A "general" s olution with non-integer powers is discussed, as an some exceptional cases. [S0556-2821(99)04508-7].