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We prove that every slightly degenerate braided fusion category admits a minimal nondegenerate extension, and hence that every pseudo-unitary super modular tensor category admits a minimal modular extension.
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On braided fusion categories. I
V. Drinfeld, S. Gelaki, D. Nikshych, and V. Ostrik · 2010
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P. Etingof, D. Nikshych, and V. Ostrik · 2010
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Dualizable tensor categories II: Homotopy SO(3)-actions
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C. L. Douglas, C. Schommer-Pries, and N. Snyder · 2020
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Pseudounitary slightly degenerate braided fusion categories admit minimal modular extensions
T. Johnson-Freyd and D. Reutter · 2020
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Classification of topological phases with finite internal symmetries in all dimensions
L. Kong, T. Lan, X.-G. Wen, Z.-H. Zhang, and H. Zheng · 2020
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The symmetric tensor product on the Drinfeld centre of a symmetric fusion category
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