Out-of-Time-Ordered Correlators in $(T^2{)}^n\mathrm{/}{\mathbb{Z}}_n$

In this note we continue analysing the non-equilibrium dynamics in the $(T^2{)}^n\mathrm{/}{\mathbb{Z}}_n$ orbifold conformal field theory. We compute the out-of-time-ordered four-point correlators with twist operators. For rational $\eta (=p\mathrm{/}q)$ which is the square of the compactification radius, we find that the correlators approach non-trivial constants at late time. For $n=2$ they are expressed in terms of the modular matrices and for higher $n$ orbifolds are functions of $pq$ and $n$. For irrational $\eta$, we find a new polynomial decay of the correlators that is a signature of an intermediate regime between rational and chaotic models.