Annales Henri Poincaré

, 12:829 | Cite as

The 1/N Expansion of Colored Tensor Models

  • Razvan GurauEmail 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.


Matrix Model Connectivity Graph Colored Graph Half Line Tensor Model 
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© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Perimeter Institute for Theoretical PhysicsWaterlooCanada

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