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.
Then a does not have a multiplicative inverse modulo N , and one can check that every positive power of A (resp
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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.