The large $N$ factorization does not hold for arbitrary multi-trace observables in random tensors

Razvan Gurau, Felix Joos, Benjamin Sudakov

We consider real tensors of order $D$, that is $D$-dimensional arrays of real numbers $T_{a^1{a}^2\dots a^D}$, where each index $a^c$ can take $N$ values. The tensor entries $T_{a^1…