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Bibliographic Details
Main Authors: Kan, Naoto, Kawabata, Kohki, Wada, Hiroki
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.14481
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Table of Contents:
  • 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.