Exceptional Equivalences in N=2 Supersymmetric Yang-Mills Theory

Abstract

We find low energy equivalences between $N=2$ supersymmetric gauge theories with different simple gauge groups with and without matter. We give a construction of equivalences based on subgroups and find all examples with maximal simple subgroups. This is used to solve some theories with exceptional gauge groups $G_2$ and $F_4$. We are also able to solve an $E_6$ theory on a codimension one submanifold of its moduli space.

16 pages, Latex, 7 figures

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• Periods and Prepotential of N=2 Supersymmetric E_6 Yang-Mills Theory
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