Classification of connected \'etale algebras in multiplicity-free modular fusion categories up to rank nine

We classify connected \'etale algebras A's in multiplicity-free modular fusion categories B's with rank( B)≤9. We also identify categories BA's of right A-modules. The results have physical applications in constraining renormalization group flows. As demonstration, we study massive renormalization group flows from non-unitary minimal models to predict ground state degeneracies and prove spontaneous B-symmetry breaking.