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As in the lower-dimensional case, the presence of such non-invertible defects implies self-duality under a particular gauging of their discrete (higher-form) symmetries. Examples of theories with such a defect include SO(3) Yang-Mills (YM) at $\\theta = \\pi$, $\\mathcal{N}=1$ SO(3) super YM, and $\\mathcal{N}=4$ SU(2) super YM at $\\tau = i$. 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As in the lower-dimensional case, the presence of such non-invertible defects implies self-duality under a particular gauging of their discrete (higher-form) symmetries. Examples of theories with such a defect include SO(3) Yang-Mills (YM) at $\\theta = \\pi$, $\\mathcal{N}=1$ SO(3) super YM, and $\\mathcal{N}=4$ SU(2) super YM at $\\tau = i$. 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