  We investigate matrix models in three dimensions where the global
$\text{SU}(N)$ symmetry acts via the adjoint map. Analyzing their ground state
which is homogeneous in space and can carry either a unique or multiple fixed
charges, we show the existence of at least two distinct fixed points of the
renormalization group (RG) flow. In particular, the one type of those fixed
points manifests itself via tractable deviations in the large-charge expansion
from the known predictions in the literature. We demonstrate most of the novel
features using mainly the example of the $\text{SU}(4)$ matrix theory to
compute the anomalous dimension of the lowest scalar operator with large global
charge(s).
