Generalized minimal models are 2d CFTs which have a discrete (but potentially countably infinite) number of degenerate representations in their spectra.

Generalized minimal models exist for any central charge $c \in \mathbb{C}$. For

$$ c = c_{p, q} = 1 - 6 \frac{(p - q)^2}{p q} \, ,$$

these theories become the $A$-series Minimal Models.