The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
(3+1)-TQFTs and topological insulators
Open accessAbstract
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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Cites
Quantum field theory and the Jones polynomial
Witten, E. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01217730 · Cited by 4,758
Topological field theory of time-reversal invariant insulators
Qi, X.-L., Hughes, T. L., & Zhang, S.-C. (2008) · Physical Review B · doi:10.1103/physrevb.78.195424 · Cited by 3,329
Four-dimensional BF theory as a topological quantum field theory
Baez, J. C. (1996) · Letters in Mathematical Physics · doi:10.1007/bf00398315 · Cited by 75
Cited by
Symmetry fractionalization, defects, and gauging of topological phases
Barkeshli, M., Bonderson, P., Cheng, M., & Wang, Z. (2019) · Physical Review B · doi:10.1103/physrevb.100.115147 · Cited by 533
Self-citationA review of Quantum Cellular Automata
Farrelly, T. (2020) · Quantum · doi:10.22331/q-2020-11-30-368 · Cited by 138
Haegeman, J., & Verstraete, F. (2017) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031016-025507 · Cited by 118
Kitaev honeycomb tensor networks: Exact unitary circuits and applications
Schmoll, P., & Orús, R. (2017) · Physical Review B · doi:10.1103/physrevb.95.045112 · Cited by 24
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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