A new class of two-dimensional lattice symmetries is anomaly-free yet obstructs both gauging and on-site realization, with the obstruction classified by H^2(G,Q+).
Let {gij} be a background gauge field – that is, an as- signment of group elements to links ⟨ij⟩ with the identifica- tion gij = g−1 ji
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Anomaly-free symmetries with obstructions to gauging and onsiteability
A new class of two-dimensional lattice symmetries is anomaly-free yet obstructs both gauging and on-site realization, with the obstruction classified by H^2(G,Q+).