Kantaro Ohmori - Fusion Surface Models: 2+1d Lattice Models From Higher Categories - 03-27-23

Affiliation: University of Tokyo

Abstract: Generalized symmetry in general dimensions is expected to be described by higher categories. Conversely, one might expect that, given a higher category with appropriate structures, there exist models that admit the category as its symmetry. In this talk I will explain such a construction of 2+1d lattice models for fusion 2-categories defined by Douglas and Reutter, generalizing the work of Aasen, Fendley and Mong on anyon chains. The construction includes the string-net models of Levin and Wen as special cases, and in general the models are non-solvable systems with possibly non-invertible one- and zero-symmetries. The talk will be based on a work with Kansei Inamura.