Another proof of the $1/N$ expansion of the rank three tensor model with tetrahedral interaction

Understand

The rank three tensor model with tetrahedral interaction was shown by Carrozza and Tanasa to admit a $1/N$ expansion, dominated by melonic diagrams, and double tadpoles decorated with melons at next-to-leading order.

• This model has generated a renewed interest in tensor models because it has the same large $N$ limit as the SYK model.
• In contrast with matrix models, there is no method which would be able to prove the existence of $1/N$ expansions in arbitrary tensor models.
• The method used by Carrozza and Tanasa proves the existence of the $1/N$ expansion using two-dimensional topology, before identifying the leading order and next-to-leading graphs.