标题： 三秩对称无迹张量模型和反对称张量模型的$1/N$展开 显示英文标题

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

摘要： 我们严格证明了三秩的对称无迹张量模型和反对称张量模型在四面体相互作用下存在$1/N$展开，并且在主阶上它们由 melanin 图主导。这证实了 I. Klebanov 和 G. Tarnopolsky 在 JHEP 10 (2017) 037 [arXiv:1706.00839] 中最近提出的猜想，他们通过耦合常数的八阶数值检验了这一猜想。 显示英文摘要

摘要： 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.