
26 March 2025
Speaker : Zhihao Duan (QMUL) : Infinitely Many New Renormalization Group Flows Between Virasoro Minimal Models from Non-Invertible Symmetries by Takahiro Tanaka and Yu Nakayama
Based on the study of non-invertible symmetries, we propose there exist infinitely many new renormalization group flows between Virasoro minimal models (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 Lässig, and k=2 by Dorey et al. All the other ℤ2 preserving renormalization group flows sporadically known in the literature (e.g. (10,3)→(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.
14:00 - 15:30 in G.O. Jones Room 610