Symmetry Fractionalization in Three-Dimensional ℤ₂ Topological Order and Fermionic Symmetry-Protected Phases

2015/11/09 by Cheng, Meng · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.1511.02563

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 ℤ₂ toric code phase. We apply the results to the classification of fermionic symmetry-protected topological phases in three dimensions.

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• Generalized symmetry enriched criticality in (3+1)d

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