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<p>We describe the self-duality symmetries for 4d Maxwell theory at any value of the coupling <i>τ</i> via topological manipulations that include gauging continuous symmetries with flat connections. Moreover, we demonstrate that the SL(2<i>,</i> ℤ) duality of Maxwell can be realized by trivial gauging operations. Using a non-compact symmetry topological field theory (symTFT) to encode continuous global symmetries of the boundary theory, we reproduce the symTFT for Maxwell and find within this framework condensation defects that implement the non-invertible SO(2) self-duality symmetry. These defects are systematically constructed by higher gauging subsets of the bulk ℝ <i>×</i> ℝ symmetry with appropriate discrete torsion.</p>

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Non-invertible SO(2) symmetry of 4d Maxwell from continuous gaugings

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  • 发表日期：

    2025年6月3日

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  • Elise Paznokas

摘要

We describe the self-duality symmetries for 4d Maxwell theory at any value of the coupling τ via topological manipulations that include gauging continuous symmetries with flat connections. Moreover, we demonstrate that the SL(2, ℤ) duality of Maxwell can be realized by trivial gauging operations. Using a non-compact symmetry topological field theory (symTFT) to encode continuous global symmetries of the boundary theory, we reproduce the symTFT for Maxwell and find within this framework condensation defects that implement the non-invertible SO(2) self-duality symmetry. These defects are systematically constructed by higher gauging subsets of the bulk ℝ × ℝ symmetry with appropriate discrete torsion.