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We introduce and briefly analyze the rainbow tensor model where all planardiagrams are melonic. This leads to considerable simplification of the large Nlimit as compared to that of the matrix model: in particular, what are dressedin this limit are propagators only, which leads to an oversimplified closed setof Schwinger-Dyson equations for multi-point correlators. We briefly touch uponthe Ward identities, the substitute of the spectral curve and the AMM/EOtopological recursion and their possible connections to Connes-Kreimer theoryand forest formulas.

Rainbow tensor model with enhanced symmetry and extreme melonic dominance