Illustrating the Categorical Landau Paradigm in Lattice Models
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schäfer‐Nameki, Tiwari, Apoorv · arXiv (Cornell University) · 2024
Recent years have seen the concept of global symmetry extended to non-invertible (or categorical) symmetries, for which composition of symmetry generators is not necessarily invertible. Such non-invertible symmetries lead to a generalization of the standard Landau paradigm. In this work we substantiate this framework by providing a (1+1)d lattice model, whose gapped phases and phase transitions can only be explained by symmetry breaking of non-invertible symmetries.