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Cited by 298

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(3+1)-TQFTs and topological insulators

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Walker, Kevin, Wang, Zhenghan·2012·Frontiers of Physics

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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Metadata

Authors
Walker, K., & Wang, Z.
Venue
Frontiers of Physics
Published
2011-07-29
Volume
7
Issue
2
Pages
150-159
ISSN
  • 2095-0462 (ISSN-L)
  • 2095-0470
OpenAlex
W2092686180
Cited by
298
References
3
FWCI
3.13
Type
journal article
Language
en
Open access
green

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Walker, K., & Wang, Z. (2012). (3+1)-TQFTs and topological insulators. Frontiers of Physics. https://doi.org/10.1007/s11467-011-0194-z

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