Reduction of Dual Theories

Details Reduction of Dual Theories Reduction of Dual Theories

1998-08-10

arxiv.org/abs/hep-th/9808054v2

Phys.Rev. D59 (1999) 105004

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex

Scientific paper

10.1103/PhysRevD.59.105004

In view of the presence of a superpotential, the dual of a gauge theory like SQCD contains two coupling parameters. The method of the Reduction of Couplings is used in order to express the parameter of the superpotential in terms of the dual gauge coupling. In the conformal window and above it, a unique, isolated solution is obtained. The coupling parameter of the superpotential is given simply by f times the square of the gauge coupling. Here f is a function of the the number of colors and the number of flavors, and it is known explicitly. The solution is valid to all orders in the asymptotic expansion, and it is the appropriate choice for the dual theory. The same solution exists in the free magnetic interval. A `general' solution with non-integer powers is discussed, as are some exceptional cases.

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