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arXiv · hep-th/9501022

Reducing $S$- duality to $T$- duality

J. A. Harvey·G. Moore·A. Strominger
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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, Montonen-Olive duality between electric and magnetic states reduces to the standard two-dimensional duality between momentum and winding states.

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J. A. Harvey, G. Moore, A. Strominger. 1995-03-02. Reducing $S$- duality to $T$- duality. https://doi.org/10.1103/physrevd.52.7161

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