(3+1)-TQFTs and topological insulators

doi:10.1007/s11467-011-0194-z

Frontiers of Physics

2012, Vol. 7

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

RESEARCH ARTICLE

本期目录

(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.

Key words： topological quantum field theory (TQFT) topological insulator premodular category

收稿日期: 2011-04-27 出版日期: 2012-04-01

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

引用本文:

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

链接本文:

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

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