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The $1/N$ expansion of the symmetric traceless and the antisymmetric tensor models in rank three (1712.00249v2)
Published 1 Dec 2017 in hep-th, gr-qc, math-ph, and math.MP
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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