The moduli space and monodromies of the N = 2 supersymmetric Yang-Mills theory with any Lie gauge groups Original Research Article

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 the classical gauge groups and the exceptional G2 group. In particular, we present the curve for the exceptional gauge groups F4, E6,7,8 and check the 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.