Annales Henri Poincaré

, 12:829

First online:

The 1/N Expansion of Colored Tensor Models

  • Razvan GurauAffiliated withPerimeter Institute for Theoretical Physics Email author 


In this paper, we perform the 1/N expansion of the colored three-dimensional Boulatov tensor model. As in matrix models, we obtain a systematic topological expansion, with increasingly complicated topologies suppressed by higher and higher powers of N. We compute the first orders of the expansion and prove that only graphs corresponding to three spheres S 3 contribute to the leading order in the large N limit.