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arXiv · 1104.2632

(3+1)-TQFTs and Topological Insulators

Kevin Walker·Zhenghan Wang
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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.

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Kevin Walker, Zhenghan Wang. 2011-04-13. (3+1)-TQFTs and Topological Insulators. https://arxiv.org/abs/1104.2632

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