A Coincidence Problem: How to Flow from N=2 SQCD to N=1 SQCD

Understand

We discuss, and propose a solution for, a still unresolved problem regarding the breaking from $\N=2$ super-QCD to $\N=1$ super-QCD.

• A mass term $W=\mu \Tr \Phi^2 / 2$ for the adjoint field, which classically does the required breaking perfectly, quantum mechanically leads to a relevant operator that, in the infrared, makes the theory flow away from pure $\N=1$ SQCD.
• To avoid this problem, we first need to extend the theory from $\SU (n_c)$ to $\U (n_c)$.
• We then look for the quantum generalization of the condition $W^{\prime}(m)=0$, that is, the coincidence between a root of the derivative of the superpotential $W(\phi)$ and the mass $m$ of the quarks.