We consider the anyonic spin systems with a global symmetry, the so-called symmetry enriched topological (SET) phases. We introduce the phase characterizing the symmetry fractionalization of the anyons. Our assumptions on how the global symmetry acts prevents anyon permutation effects.
@article{arxiv.2411.01210,
title = {Anyonic symmetry fractionalization in SET phases},
author = {Jose Garre Rubio and Yoshiko Ogata},
journal= {arXiv preprint arXiv:2411.01210},
year = {2024}
}