main interest below. Nevertheless, these operators have in general strong effects on the infrared dynamics. They are examples of operators that in the general theory of the renormalization group are known as [*dangerously irrelevant*]{}. Some comments about the properties of such operators appear in Appendix A.

To simplify the analysis of  with a traceless matrix $X$, we may view $X$ as an arbitrary matrix and represent the constraint by a Lagrange multiplier term $\lambda \Tr X$ in the superpotential. Physically, this amounts to adding two massive chiral fields to our problem, $ \lambda $ and $\Tr X$. Clearly, this does not affect the long distance behavior. Then we can shift $X$ by a term proportional to the identity matrix $X_s=X + {s_1 \over s_0k}1 $ to set the coefficient of $\Tr X_s^k$ in  to zero; $\lambda$ is also shifted by a suitable constant. Such a shift removing the first subleading term in the superpotential is a standard manipulation in singularity theory. Rewriting the superpotential  in terms of the shifted $X$ corresponds to performing an analytic reparametrization on the space of coupling constants. The new electric coupling constants will be denoted by $\{t_i\}$. The explicit coordinate transformation from $\{s_i\}$ to $\{t_i\}$ 