Chaotic RG flow in tensor models

We study biantisymmetric tensor quantum field theories with $O({N}_{1})\ifmmode\times\else\texttimes\fi{}O({N}_{2})$ symmetry. Working in $4\ensuremath{-}\ensuremath{\epsilon}$ dimensions we calculate the beta functions up to second order coupling constants and analyze detail renormalization group (RG) flow its fixed points. allow ${N}_{1}$ ${N}_{2}$ assume general real values treat them as bifurcation parameters. In studying behavior of these models a nonunitary regime space find point where zero-Hopf occurs. vicinity this point, provide analytical numerical evidence for existence Shilnikov homoclinic orbits, which induce chaotic RG subset nearby theories. As simple warm-up example flows, also review non-Hermitian Ising chain show how, special complex constant, transformations are equivalent Bernoulli map.