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Symmetry Fractionalization in Three-Dimensional $\mathbb{Z}_2$ Topological Order and Fermionic Symmetry-Protected Phases (1511.02563v1)
Published 9 Nov 2015 in cond-mat.str-el and hep-th
Abstract: In two-dimensional topological phases, quasiparticle excitations can carry fractional symmetry quantum numbers. We generalize this notion of symmetry fractionalization to three-dimensional topological phases, in particular to loop excitations, and propose a partial classification for symmetry-enriched $\mathbb{Z}_2$ toric code phase. We apply the results to the classification of fermionic symmetry-protected topological phases in three dimensions.
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