(3+1)-TQFTs and Topological Insulators
Strongly Correlated Electrons
2011-04-29 v2 Quantum Algebra
Abstract
Levin-Wen models are microscopic spin models for topological phases of matter in (2+1)-dimension. We introduce a generalization of such models to (3+1)-dimension based on unitary braided fusion categories, also known as unitary premodular categories. We discuss the ground state degeneracy on 3-manifolds and statistics of excitations which include both points and defect loops. Potential connections with recently proposed fractional topological insulators and projective ribbon permutation statistics are described.
Cite
@article{arxiv.1104.2632,
title = {(3+1)-TQFTs and Topological Insulators},
author = {Kevin Walker and Zhenghan Wang},
journal= {arXiv preprint arXiv:1104.2632},
year = {2011}
}
Comments
Several clarifications are added. To appear in the special issue of Frontiers of Physics on topological insulators