Derives the symmetry breaking long exact sequence relating defect anomalies to broken symmetry anomalies, with applications to higher Berry phases and obstructions to local defects in symmetry breaking phases.
This has aU(1)L symmetry with the same anomaly astheDiracinSectionIIIB1(sincetheright-handedWeyl does not contribute anything): ω= 1 6(cL 1 )3−1 24cL 1p1(TX )
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A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases
Derives the symmetry breaking long exact sequence relating defect anomalies to broken symmetry anomalies, with applications to higher Berry phases and obstructions to local defects in symmetry breaking phases.