The Nambu-Tachikawa correspondence in N=4 super Yang-Mills theory

We study the N=4 super Yang-Mills theory in the limit of $N=4$. We study the N=4 super Yang-Mills theory in the limit of $N=4$ and $5$, and find a property of the super Yang-Mills theory in the limit of $N=5$ that is universal. This property is the equality of the super Yang-Mills theory in the limit of $N=4$. For $N=5$ we show that the super Yang-Mills theory is in the limit of non-abelian and topological Yang-Mills theory, and thus this theory has a non-abelian structure. Furthermore, we show that the N=4 super Yang-Mills theory is in the limit of non-abelian and topological super Yang-Mills theory, and thus this theory has a non-abelian structure.