Double scaling limit of multi-matrix models at large D

In this paper, we study a double scaling limit of two multi-matrix models: the $U(N)^2 \times O(D)$-invariant model with all quartic interactions and bipartite $U(N) tetrahedral interaction ($D$ being here number matrices $N$ size each matrix). Those models admit double, large $D$ expansion. While tracks genus Feynman graphs, another quantity called grade. both models, rewrite sum over graphs at fixed grade as finite combinatorial objects schemes. This is result nature which remains true in quantum mechanical setting field theory. Then proceed to $D$, i.e. for vanishing particular, find that most singular schemes, are same those found Benedetti et al. restricted its interaction. different universality class than 1-matrix whose not summable.