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2019

Melonic Dominance in Subchromatic Sextic Tensor Models

Prakash, Shiroman, Sinha, Ritam

Understand

We study tensor models based on $O(N)^r$ symmetry groups constructed out of rank-$r$ tensors with order-$q$ interaction vertices.

We refer to those tensor models for which $r<q-1$ as \textit{subchromatic}.
We focus most of our attention on sextic ($q=6$) models with maximally-single-trace interactions.
We show that only three subchromatic sextic maximally-single-trace interaction vertices exist: these are the $r=3$ prism, the $r=3$ wheel (or $K_{3,3}$) and the $r=4$ octahedron.