S-Duality in N=4 Yang-Mills Theories

TL;DR

This paper presents evidence supporting the S-duality conjecture in N=4 supersymmetric Yang-Mills theories, demonstrating the invariance under SL(2,Z) transformations for various gauge groups.

Contribution

It provides the first comprehensive evidence for SL(2,Z) S-duality in N=4 Yang-Mills theories with general compact, simple gauge groups.

Findings

Evidence supports SL(2,Z) invariance in N=4 theories.

Results apply to a broad class of gauge groups.

Contributes to understanding of duality symmetries in supersymmetric gauge theories.

Abstract

Evidence in favor of $SL(2,Z)$ S-duality in $N=4$ supersymmetric Yang-Mills theories in four dimensions and with general compact, simple gauge groups is presented. (Contribution to the Proceedings of the Strings '95 conference, March 13-18, 1995, USC, and the Proceedings of the Trieste Conference on S-Duality and Mirror Symmetry, June 5-9, 1995.)