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.
@article{arxiv.2405.05302,
title = {Illustrating the Categorical Landau Paradigm in Lattice Models},
author = {Lakshya Bhardwaj and Lea E. Bottini and Sakura Schafer-Nameki and Apoorv Tiwari},
journal= {arXiv preprint arXiv:2405.05302},
year = {2024}
}