A matrix CFT at multiple large charges

Understand

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).