On Enriching the Levin-Wen model with Symmetry
Strongly Correlated Electrons
2015-06-23 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
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 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.
Keywords
Cite
@article{arxiv.1412.6589,
title = {On Enriching the Levin-Wen model with Symmetry},
author = {Liang Chang and Meng Cheng and Shawn X. Cui and Yuting Hu and Wei Jin and Ramis Movassagh and Pieter Naaijkens and Zhenghan Wang and Amanda Young},
journal= {arXiv preprint arXiv:1412.6589},
year = {2015}
}
Comments
21 pages, 6 figures