Semi-classical Quantization in N=4 Supersymmetric Yang-Mills Theory and Duality

Abstract

At a generic point in the moduli space of vacua of an N=4 supersymmetric gauge theory with arbitrary gauge group the Higgs force does not cancel the magneto-static force between magnetic monopoles of distinct charge. As a consequence the moduli space of magnetically charged solutions is related in a simple way to those of the SU(2) theory. This leads to a rather simple test of S-duality. On certain subspaces of the moduli space of vacua the forces between distinct monopoles cancel and the test of S-duality becomes more complicated.

11 pages, plain tex with macro included, one Postscript figure, uses psfig.tex

Cited by in corpus (32)

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• Quantum 1/4 BPS Dyons
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• Constructing $\mathcal{N}=4$ Coulomb Branch Superamplitudes
• Complete Supersymmetric Quantum Mechanics of Magnetic Monopoles in N=4 SYM Theory
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• Moduli Space Dimensions of Multi-Pronged Strings
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• Long Range Forces and Supersymmetric Bound States
• Low Energy Dynamics of Monopoles in Supersymmetric Yang-Mills Theories with Hypermultiplets
• A Family of N=2 Gauge Theories with Exact S-Duality
• Supersymmetry Enhancement and Junctions in S-folds
• Dyon electric charge and fermion fractionalization
• String Multiplets from an Invariant 2-Brane
• BPS Equations in Omega-deformed N=4 Super Yang-Mills Theory