Infinitely many new renormalization group flows between Virasoro minimal models from non-invertible symmetries

Based on the study of non-invertible symmetries, we propose there exist infinitely many new renormalization group flows between Virasoro minimal models M(kq + I, q) (kq-I, q) induced by φ(1,2k+1). They vastly generalize the previously proposed ones $k=I=1$ by Zamolodchikov, $k=1, I>1$ by Ahn and L\"assig, and $k=2$ by Dorey et al. All the other Z₂ preserving renormalization group flows sporadically known in the literature (e.g. M(10,3) → M(8,3) studied by Klebanov et al) fall into our proposal (e.g. $k=3, I=1$). We claim our new flows give a complete understanding of the renormalization group flows between Virasoro minimal models that preserve a modular tensor category with the SU(2)q-2 fusion ring.