Annales Henri Poincaré

, 12:829

The 1/N Expansion of Colored Tensor Models


    • Perimeter Institute for Theoretical Physics

DOI: 10.1007/s00023-011-0101-8

Cite this article as:
Gurau, R. Ann. Henri Poincaré (2011) 12: 829. doi:10.1007/s00023-011-0101-8


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 S3 contribute to the leading order in the large N limit.

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© Springer Basel AG 2011