(3+1)-TQFTs and Topological Insulators

Details (3+1)-TQFTs and Topological Insulators (3+1)-TQFTs and Topological Insulators

2011-04-13

arxiv.org/abs/1104.2632v2

Physics

Condensed Matter

Strongly Correlated Electrons

Several clarifications are added. To appear in the special issue of Frontiers of Physics on topological insulators

Scientific paper

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.

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