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arXiv · 2404.14481

Symmetry fractionalization and duality defects in Maxwell theory

Naoto Kan·Kohki Kawabata·Hiroki Wada
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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.

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Naoto Kan, Kohki Kawabata, Hiroki Wada. 2024-04-22. Symmetry fractionalization and duality defects in Maxwell theory. https://doi.org/10.1007/jhep10(2024)238

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