A defect-network construction for modulated symmetries is derived, with an anomaly-free condition S*[ω]=[ω] that leads to classifications of dipolar and multipolar SPTs in 1+1D and 2+1D.
ω. Obviously shifting ν by a 2-cocycle will not change the fact that ν trivializes T˚ x ω{ω. Hence, the naive 1-cell data is given by µh“ zh µv“ $ & % νzv N even andrωs“ ´
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Defect Networks for Topological Phases Protected By Modulated Symmetries
A defect-network construction for modulated symmetries is derived, with an anomaly-free condition S*[ω]=[ω] that leads to classifications of dipolar and multipolar SPTs in 1+1D and 2+1D.