# Rainbow tensor model with enhanced symmetry and extreme melonic dominance

## TL;DR

This paper introduces a rainbow tensor model with enhanced symmetry where melonic diagrams dominate, simplifying the large N limit and leading to new insights into Schwinger-Dyson equations and topological recursion.

## Contribution

The paper presents a novel rainbow tensor model with all planar diagrams being melonic, simplifying the large N limit and connecting to various theoretical frameworks.

## Key findings

- All planar diagrams are melonic in the model.
- Large N limit simplifies to propagator dressing only.
- Connections to Ward identities, spectral curves, and topological recursion.

## Abstract

We introduce and briefly analyze the rainbow tensor model where all planar diagrams are melonic. This leads to considerable simplification of the large N limit as compared to that of the matrix model: in particular, what are dressed in this limit are propagators only, which leads to an oversimplified closed set of Schwinger-Dyson equations for multi-point correlators. We briefly touch upon the Ward identities, the substitute of the spectral curve and the AMM/EO topological recursion and their possible connections to Connes-Kreimer theory and forest formulas.