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

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

1995-01-09

arxiv.org/abs/hep-th/9501022v2

Phys.Rev.D52:7161-7167,1995

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, harvmac, no figures. (Some Comments added. Some references added.)

Scientific paper

10.1103/PhysRevD.52.7161

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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