%0 Journal Article
%T On Enriching the Levin-Wen model with Symmetry
%A Liang Chang
%A Meng Cheng
%A Shawn X. Cui
%A Yuting Hu
%A Wei Jin
%A Ramis Movassagh
%A Pieter Naaijkens
%A Zhenghan Wang
%A Amanda Young
%J Mathematics
%D 2014
%I arXiv
%R 10.1088/1751-8113/48/12/12FT01
%X Symmetry protected and symmetry enriched topological phases of matter are of great interest in condensed matter physics due to new materials such as topological insulators. The Levin-Wen model for spin/boson systems is an important rigorously solvable model for studying $2D$ topological phases. The input data for the Levin-Wen model is a unitary fusion category, but the same model also works for unitary multi-fusion categories. In this paper, we provide the details for this extension of the Levin-Wen model, and show that the extended Levin-Wen model is a natural playground for the theoretical study of symmetry protected and symmetry enriched topological phases of matter.
%U http://arxiv.org/abs/1412.6589v1