Prepotentials of N=2 SU(2) Yang endash Mills theories coupled with massive matter multiplets

We discuss N=2 SU(2) Yang endash Mills gauge theories coupled with Nf(=2,3) massive hypermultiplets in the weak coupling limit. We determine the exact massive prepotentials and the monodromy matrices around the weak coupling limit. We also study that the double scaling limit of these massive theories and find that the massive Nf-1 theory can be obtained from the massive Nf theory. New formulae for the massive prepotentials and the monodromy matrices are proposed. In these formulae, Nf dependences are clarified.copyright 1997 American Institute of Physics