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High Energy Physics - Theory

Title: Symmetry fractionalization and duality defects in Maxwell theory

Abstract: We consider Maxwell theory on a non-spin manifold. Depending on the choice of statistics for line operators, there are three non-anomalous theories and one anomalous theory with different symmetry fractionalizations. We establish the gauging maps that connect the non-anomalous theories by coupling them to a discrete gauge theory. We also construct topological interfaces associated with $\mathrm{SL}(2,\mathbb{Z})$ duality and gauging of electric and magnetic one-form symmetries. Finally, by stacking the topological interfaces, we compose various kinds of duality defects, which lead to non-invertible symmetries of non-spin Maxwell theories.
Comments: 38 pages, 5 figures
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph)
Report number: OU-HET-1232
Cite as: arXiv:2404.14481 [hep-th]
  (or arXiv:2404.14481v1 [hep-th] for this version)

Submission history

From: Hiroki Wada [view email]
[v1] Mon, 22 Apr 2024 18:00:00 GMT (35kb)

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