Generalized cluster states in 2+1d: non-invertible symmetries, interfaces, and parameterized families
The episode discusses a paper on generalized cluster states in 2+1D with non-invertible symmetries. The hosts explain that the work uses fusion two-categories to describe models, showing how interface symmetry is governed by the strip two-algebra. They conclude that this framework provides a mathematical map for classifying topological orders and links static boundary properties to dynamic phenomena like topological charge pumping.