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In Carqueville et al., arXiv:1809.01483, the notion of an orbifold datum $\mathbb{A}$ in a modular fusion category $\mathcal{C}$ was introduced as part of a generalised orbifold construction for Reshetikhin-Turaev TQFTs.
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S.X. Cui, M.S. Zini, Z. Wang, On generalized symmetries and structure of modular categories
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A.A. Kirillov, On G G -equivariant modular categories
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N. Carqueville, I. Runkel, G. Schaumann, Line and surface defects in Reshetikhin-Turaev TQFT
2019
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