Proves equivalence (Rep^G(A))^G ≅ Rep(A^G) as balanced W*-tensor categories for general (not necessarily rational) conformal nets A with faithful finite group G action, generalizing the rational case and including balances.
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Non-invertible symmetry-breaking phases are characterized by long-range order parameters obeying generalized algebra, with certain transitions dual to beyond-Landau points of invertible symmetries under precise conditions established via generalized gauging.
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Balanced tensor categories of representations of fixed-points conformal nets
Proves equivalence (Rep^G(A))^G ≅ Rep(A^G) as balanced W*-tensor categories for general (not necessarily rational) conformal nets A with faithful finite group G action, generalizing the rational case and including balances.