The Moduli Space and Monodromies of the $N=2$ Supersymmetric Yang-Mills Theory with any Lie Gauge Groups

Details The Moduli Space and Monodromies of the $N=2$ Supersymmetric Yang-Mills Theory with any Lie Gauge Groups The Moduli Space and Monodromies of the $N=2$ Supersymmetric Yang-Mills Theory with any Lie Gauge Groups

1996-06-09

arxiv.org/abs/hep-th/9606043v1

Nucl.Phys. B480 (1996) 279-295

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX file

Scientific paper

10.1016/S0550-3213(96)00436-1

We propose a unified scheme for finding the hyperelliptic curve of $N=2$ SUSY YM theory with any Lie gauge groups. Our general scheme gives the well known results for classical gauge groups and exceptional $G_2$ group. In particular, we present the curve for the exceptional gauge groups $F_4, E_{6,7,8}$ and check consistency condition for them. The exact monodromies and the dyon spectrum of these theories are determined. We note that for any Lie gauge groups, the exact monodromies could be obtained only from the Cartan matrix.

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