(3+1)-TQFTs and topological insulators

doi:10.1007/s11467-011-0194-z

Front. Phys.

2012, Vol. 7

Issue (2) : 150-159 https://doi.org/10.1007/s11467-011-0194-z

RESEARCH ARTICLE

(3+1)-TQFTs and topological insulators

Kevin Walker, Zhenghan Wang(

)

Microsoft Station Q, CNSI Bldg. Rm. 2243, University of California, Santa Barbara, CA 93106-6105, USA

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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.

Keywords topological quantum field theory (TQFT) topological insulator premodular category

Corresponding Author(s): Wang Zhenghan,Email:zhenghwa@microsoft.com

Issue Date: 01 April 2012

Cite this article:

Kevin Walker,Zhenghan Wang. (3+1)-TQFTs and topological insulators[J]. Front. Phys. , 2012, 7(2): 150-159.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-011-0194-z
https://academic.hep.com.cn/fop/EN/Y2012/V7/I2/150

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