On the weak coupling spectrum of N=2 supersymmetric SU(n) gauge theory

Details On the weak coupling spectrum of N=2 supersymmetric SU(n) gauge theory On the weak coupling spectrum of N=2 supersymmetric SU(n) gauge theory

1996-10-18

arxiv.org/abs/hep-th/9610142v1

Nucl.Phys. B490 (1997) 217-238

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, plain tex with macro included, 6 figures included using psfig.tex

Scientific paper

10.1016/S0550-3213(97)00054-0

The weak coupling spectrum of BPS saturated states of pure $N=2$ supersymmetric SU$(n)$ gauge theory is investigated. The method uses known results on the dyon spectrum of the analogous theory with $N=4$ supersymmetry, along with the action on these states of the semi-classical monodromy transformations. For dyons whose magnetic charge is not a simple root of the Lie algebra, it is found that the weak coupling region is divided into a series of domains, for which the dyons have different electric charge, separated by walls on which the dyons decay. The proposed spectrum is shown to be consistent with the exact solution of the theory at strong coupling in the sense that the states at weak coupling can account for the singularities at strong coupling.

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