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Depending on how anomalous \\Gamma Γ is, we find that the symmetry of the gauged theory can be i) a direct product of G=\\Gamma/A G = Γ / A and a higher-form symmetry \\hat A A ̂ with a mixed anomaly, where \\hat A A ̂ is the Pontryagin dual of A A ; ii) an extension of the ordinary symmetry group G G by the higher-form symmetry \\hat A A ̂ ; iii) or even more esoteric types of symmetries which are no longer groups. We also discuss the relations to the effect called the H^3(G,\\hat A) H 3 ( G , A ̂ ) symmetry localization obstruction in the condensed-matter theory and to some of the constructions in the works of Kapustin-Thorngren and Wang-Wen-Witten.","publishedDate","2020-01-31","publishedYear",2020,"venue","SciPost Physics","citationCount",296,"authors","keywords",[72,73,74],"pdfUrl","https://arxiv.org/pdf/1712.09542","topVenue",true,"displayName","displayDescription","Algebraic structures and combinatorial models","Finite Group Theory Research","Topological and Geometric Data 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On gauging finite subgroups 论文

On gauging finite subgroups · 相关技术

相关技术