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

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arxiv 1712.00249 v2 pith:B6AAHJVN submitted 2017-12-01 hep-th gr-qcmath-phmath.MP

Dario Benedetti , Sylvain Carrozza , Razvan Gurau , Maciej Kolanowski This is my paper · ORCID
classification hep-thgr-qcmath-phmath.MP
keywords antisymmetricexpansionmodelsorderranksymmetrictensorthey
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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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  1. Melonic Dominance in Subchromatic Sextic Tensor Models

    hep-th 2019-08 conditional novelty 7.0 of 10

    Sextic tensor models with O(N)^r symmetry and r<5 have exactly three maximally-single-trace interaction vertices, and each yields a large N limit dominated by (generalized) melonic diagrams.

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