Double scaling limit for the O(N)³-invariant tensor model

We study the double scaling limit of $O(N)^3$-invariant tensor model, initially introduced in Carrozza and Tanasa, Lett. Math. Phys. (2016). This model has an interacting part containing two types quartic invariants, tetrahedric pillow one. For 2-point function, we rewrite sum over Feynman graphs at each order $1/N$ expansion as a \emph{finite} sum, where summand is function generating series melons chains (a.k.a. ladders). The which are most singular continuum characterized expansion. leads to picks up contributions from all orders In contrast with matrix models, but similarly previous limits this summable. tools used prove our results combinatorial, namely thorough diagrammatic analysis graphs, well singularities relevant series.