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The 1/N expansion of colored tensor models · Around

2010

The 1/N expansion of colored tensor models

Gurau, Razvan

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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 more and more 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.

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