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

TL;DR

This paper derives exact prepotentials and monodromy matrices for N=2 SU(2) Yang-Mills theories with massive matter, clarifying how these depend on the number of flavors and exploring their limits.

Contribution

It provides new explicit formulas for massive prepotentials and monodromy matrices, extending understanding of N=2 gauge theories with matter.

Findings

Exact massive prepotentials determined

Monodromy matrices around weak coupling computed

Double scaling limit relations established

Abstract

We discuss N=2 SU(2) Yang-Mills gauge theories coupled with N_f (=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 N_f -1 theory can be obtained from the massive N_f theory. New formulae for the massive prepotentials and the monodromy matrices are proposed. In these formulae, N_f dependences are clarified.