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.
Gint¸ GΣd´1 , the LHS spectral sequence degenerates at the E2 page and shows that Hd`1pK, Up1qq includes a subgroup H0pGΣd´1 , Hd`1pGint, Up1qqq“ Hd`1pGint, Up1qqS
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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.