Tripartite information at long distances

We compute the leading term of tripartite information at long distances for three spheres in a CFT. This falls as $r^{-6\Delta}$, where $r$ is typical distance between spheres, and $\Delta$, lowest primary field dimension. The coefficient turns out to be combination terms coming from two- three-point functions depends on OPE field. check result with three-dimensional free scalars lattice finding excellent agreement. When lowest-dimensional scalar, we find that mutual can monogamous only quite large coefficients, far away perturbative regime. fermion, argue scaling must always faster than $r^{-6\Delta_f}$. In particular, calculations suggest $ r^{-(6\Delta_f+1)}$. For fermions dimensions, show also non-monogamous long-distance