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We survey recent developments in a novel kind of generalized global symmetry, the non-invertible symmetry, in diverse spacetime dimensions.
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2016
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M. Buican and A. Gromov, Anyonic Chains, Topological Defects, and Conformal Field Theory
2017
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2017
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J. Fjelstad, J. Fuchs, I. Runkel, and C. Schweigert, TFT construction of RCFT correlators. V. Proof of modular invariance and factorisation
2006
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D. S. Freed and C. Teleman, Gapped Boundary Theories in Three Dimensions
2006
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A. Kapustin, Wilson-’t Hooft operators in four-dimensional gauge theories and S-duality
2006
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Y. Hidaka, M. Nitta, and R. Yokokura, Higher-form symmetries and 3-group in axion electrodynamics
2006
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J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, Duality and defects in rational conformal field theory
2007
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A. Feiguin, S. Trebst, A. W. W. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. H. Freedman, Interacting anyons in topological quantum liquids: The golden chain
2007
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D. V. Else and C. Nayak, Cheshire charge in (3+1)-dimensional topological phases
2017
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L. Bhardwaj and Y. Tachikawa, On finite symmetries and their gauging in two dimensions
2018
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2018
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N. Carqueville, I. Runkel, and G. Schaumann, Line and surface defects in Reshetikhin–Turaev TQFT
2018
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J. Gomis, Z. Komargodski, and N. Seiberg, Phases Of Adjoint QCD 3 And Dualities
2018
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C. L. Douglas and D. J. Reutter, Fusion 2-categories and a state-sum invariant for 4-manifolds
2018
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2019
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2019
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2019
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2019
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F. Benini, C. Córdova, and P.-S. Hsin, On 2-Group Global Symmetries and their Anomalies
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2019
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Y. Tachikawa, On gauging finite subgroups
2020
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R. Thorngren, Anomalies and Bosonization
2020
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2020
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N. Carqueville, I. Runkel, and G. Schaumann, Orbifolds of Reshetikhin-Turaev TQFTs
2020
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2021
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2021
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2021
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Y.-H. Lin and S.-H. Shao, ℤ N \mathbb{Z}_{N} symmetries, anomalies, and the modular bootstrap
2021
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D. Delmastro, D. Gaiotto, and J. Gomis, Global anomalies on the Hilbert space
2021
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2021
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T. D. Décoppet, Weak Fusion 2-Categories
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D. Harlow and H. Ooguri, Symmetries in quantum field theory and quantum gravity
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2022
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J. Kaidi, K. Ohmori, and Y. Zheng, Kramers-Wannier-like Duality Defects in (3+1)D Gauge Theories
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Y. Choi, H. T. Lam, and S.-H. Shao, Noninvertible Global Symmetries in the Standard Model
2022
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2022
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C. Cordova, T. T. Dumitrescu, K. Intriligator, and S.-H. Shao, Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond · 2022
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2022
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T. D. Décoppet, The Relative Deligne Tensor Product over Pointed Braided Fusion Categories
2022
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D.-C. Lu and Z. Sun, On triality defects in 2d CFT
2023
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