Description
Abstract: Conventionally, the selection rule of solitons has been believed to be controlled by the homotopy group. In recent papers (https://arxiv.org/abs/2210.13780, https://arxiv.org/abs/2307.00939), we found that the solitonic symmetry also becomes noninvertible because of the interplay between different dimensional objects. After detailed explanations of the example of the 4d CP1 sigma model, I will explain our proposal to describe the general form of noninvertible solitonic symmetry.
