The complete 1/N expansion of colored tensor models in arbitrary dimension

TL;DR

This paper derives the complete 1/N expansion for colored tensor models across any dimension, extending previous results and detailing specific models like the i.i.d. and Boulatov Ooguri models.

Contribution

It generalizes the 1/N expansion of colored tensor models to arbitrary dimensions, providing a comprehensive framework for these models.

Findings

Full 1/N expansion derived for arbitrary dimensions

Expansion detailed for i.i.d. and Boulatov Ooguri models

Extends previous results to more general tensor models

Abstract

In this paper we generalize the results of [1,2] and derive the full 1/N expansion of colored tensor models in arbitrary dimensions. We detail the expansion for the independent identically distributed model and the topological Boulatov Ooguri model.