Generalized Gaugino Condensation in Super Yang-Mills Theories: Discrete R-Symmetries and Vacua

Understand

One can define generalized models of gaugino condensation as theories which dynamically break a discrete R-symmetry, but do not break supersymmetry.

• We consider general examples consisting of gauge and matter fields, and the minimal number of gauge singlet fields to avoid flat directions in the potential.
• We explore which R-symmetries can arise, and their spontaneous breaking.
• In general, we find that the discrete symmetry is $\mathbb{Z}_{2b_0R}$ and the number of supersymmetric vacua is $b_0$, where $b_0$ is the coefficient of the one-loop beta function.