an:05906685
Zbl 1218.81088
Gurau, Razvan
The \(1/N\) expansion of colored tensor models
EN
Ann. Henri Poincar?? 12, No. 5, 829-847 (2011).
00280606
2011
j
81T30 81V05 83C45 15B52
Summary: 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.