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arXiv · 2602.03926

The Line, the Strip and the Duality Defect

Francesco Bedogna·Salvo Mancani
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Abstract

In the Symmetry Topological Field Theories (SymTFT) that describes the exotic models XY-plaquette and XYZ-cube, we construct codim-1 condensation defects by higher gauging with discrete torsion the non-compact symmetry of the bulk. In the framework of SymTFT Mille-feuille, which captures the Lorentz-invariance breaking subsystem symmetries, these models are dual to foliated versions of Maxwell theory. We show first that the XY-plaquette model admits a $θ$-term. Then, we show these condensation defects realize non-invertible self-duality symmetries at any value of the coupling. In the XYZ-cube model such symmetry is discrete. On the other hand, we find that the XY-plaquette has a non-invertible continuous $SO(2)$ symmetry, thus extending the results in the current literature.

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Francesco Bedogna, Salvo Mancani. 2026-07-27. The Line, the Strip and the Duality Defect. https://arxiv.org/abs/2602.03926

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