Chiral fixed point in a junction of critical spin-1 chains

Junctions of one-dimensional systems are great interest to the development synthetic materials that harbor topological phases. We study a junction three gapless spin-1 chains described by $\mathrm{SU}{(2)}_{2}$ Wess-Zumino-Wittten model and coupled exchange chiral three-spin interactions. show fixed point appears as special on transition line separating two regimes open boundary conditions, corresponding decoupled formation spin singlet state. Along this line, behaves tunable circulator conductance varies continuously with coupling constant marginal operator. Since spectrum contains fractional excitations such Majorana fermions, in paper, we set stage for network constructions non-Abelian liquids.