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    Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions by Choi, Yichul, Córdova, Clay, Hsin, Po-Shen, Lam, Ho T., Shao, Shu-Heng

    Published 2023
    “…Interestingly, the fusion coefficients are generally not numbers, but 2+1d TQFTs, such as invertible SPT phases, $${\mathbb {Z}}_N$$ Z N gauge theories, and $$U(1)_N$$ U ( 1 ) N Chern-Simons theories. The associativity of these algebras over TQFT coefficients relies on nontrivial facts about 2+1d TQFTs. …”
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