ReducingSduality toTduality

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Abstract
The infrared limit of D=4, N=4 Yang-Mills theory with compact gauge group G compactified on a two-torus is governed by an effective superconformal field theory. We conjecture that this is a certain orbifold involving the maximal torus of G. Yang-Mills S duality makes predictions for all correlators of this effective conformal field theory. These predictions are shown to be implied by the standard T duality of the conformal field theory. Consequently, the Montonen-Olive duality between electric and magnetic states reduces to the standard two-dimensional duality between momentum and winding states. © 1995 The American Physical Society.