3 years ago

The $1/N$ expansion of the symmetric traceless and the antisymmetric tensor models in rank three.

Dario Benedetti, Sylvain Carrozza, Razvan Gurau, arXiv:1706.00839, Maciej Kolanowski

We prove rigorously that the symmetric traceless and the antisymmetric tensor models in rank three with tetrahedral interaction admit a $1/N$ expansion, and that at leading order they are dominated by melon diagrams. This proves the recent conjecture of I. Klebanov and G. Tarnopolsky in JHEP 10 (2017) 037 [arXiv:1706.00839], which they checked numerically up to 8th order in the coupling constant.

Publisher URL: http://arxiv.org/abs/1712.00249

DOI: arXiv:1712.00249v2

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