A SymTFT-based construction realizes proliferation transitions for any condensable algebra in a modular tensor category, with the symmetry fixed by the transparent lines of the algebra's generated subcategory.
ForD(S 3) the pure charges are irreps: the trivial 1, the sign 1 −, and the 2d irrepE
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Proliferation Transitions for Non-Abelian Anyons
A SymTFT-based construction realizes proliferation transitions for any condensable algebra in a modular tensor category, with the symmetry fixed by the transparent lines of the algebra's generated subcategory.