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arXiv · 1712.00249

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

Dario Benedetti·Sylvain Carrozza·Razvan Gurau·Maciej Kolanowski
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Abstract

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.

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Dario Benedetti, Sylvain Carrozza, Razvan Gurau, Maciej Kolanowski. 2017-12-01. The $1/N$ expansion of the symmetric traceless and the antisymmetric tensor models in rank three. https://doi.org/10.1007/s00220-019-03551-z

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