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For any quantum system invariant under gauging a higher-form global symmetry, we construct a non-invertible topological defect by gauging in only half of spacetime.
1901
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Y.-H. Lin and S.-H. Shao, Anomalies and Bounds on Charged Operators
1904
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D. Gaiotto and T. Johnson-Freyd, Condensations in higher categories
1905
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W. Ji, S.-H. Shao, and X.-G. Wen, Topological Transition on the Conformal Manifold
1909
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N. Seiberg, Field Theories With a Vector Global Symmetry
1909
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1910
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Y.-H. Lin and S.-H. Shao, Duality Defect of the Monster CFT
1911
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R. Thorngren and Y. Wang, Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases
1912
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1912
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M. Creutz, L. Jacobs, and C. Rebbi, Monte Carlo Study of Abelian Lattice Gauge Theories
1915
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F. J. Wegner, Duality in Generalized Ising Models and Phase Transitions Without Local Order Parameters
1971
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1978
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S. Elitzur, R. B. Pearson, and J. Shigemitsu, The Phase Structure of Discrete Abelian Spin and Gauge Systems
1979
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D. Horn, M. Weinstein, and S. Yankielowicz, Hamiltonian Approach to ℤ N \mathbb{Z}_{N} Lattice Gauge Theories
1979
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A. Ukawa, P. Windey, and A. H. Guth, Dual Variables for Lattice Gauge Theories and the Phase Structure of Z(N) Systems
1980
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R. Savit, Duality in Field Theory and Statistical Systems
1980
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E. P. Verlinde, Fusion Rules and Modular Transformations in 2D Conformal Field Theory
1988
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G. W. Moore and N. Seiberg, Classical and Quantum Conformal Field Theory
1989
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G. W. Moore and N. Seiberg, Taming the Conformal Zoo
1989
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C. Vafa, Quantum Symmetries of String Vacua
1989
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D. J. Gross and I. R. Klebanov, One-dimensional string theory on a circle
1990
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R. Dijkgraaf and E. Witten, Topological Gauge Theories and Group Cohomology
1990
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D. Tambara and S. Yamagami, Tensor categories with fusion rules of self-duality for finite abelian groups
1998
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D. Tambara, Representations of tensor categories with fusion rules of self-duality for abelian groups
2000
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V. B. Petkova and J. B. Zuber, Generalized twisted partition functions
2001
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J. M. Maldacena, G. W. Moore, and N. Seiberg, D-brane charges in five-brane backgrounds
2001
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J. Fuchs, I. Runkel, and C. Schweigert, TFT construction of RCFT correlators 1. Partition functions
2002
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J. Frohlich, J. Fuchs, I. Runkel, and C. Schweigert, Kramers-Wannier duality from conformal defects
C.-M. Chang and Y.-H. Lin, Lorentzian dynamics and factorization beyond rationality
2012
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2013
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I. Brunner, N. Carqueville, and D. Plencner, A quick guide to defect orbifolds
2014
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A. Kapustin and N. Seiberg, Coupling a QFT to a TQFT and Duality
2014
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D. Gaiotto, D. Mazac, and M. F. Paulos, Bootstrapping the 3d Ising twist defect
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2004
Cited alongside, same era.
S. Pal and Z. Sun, High Energy Modular Bootstrap, Global Symmetries and Defects
2004
Cited alongside, same era.
2005
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2006
Cited alongside, same era.
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
Cited alongside, same era.
D. Gaiotto and J. Kulp, Orbifold groupoids
2008
Cited alongside, same era.
2014
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D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, Generalized Global Symmetries
2015
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N. Carqueville and I. Runkel, Orbifold completion of defect bicategories
2016
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D. Aasen, R. S. K. Mong, and P. Fendley, Topological Defects on the Lattice I: The Ising model
2016
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M. Buican and A. Gromov, Anyonic Chains, Topological Defects, and Conformal Field Theory
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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C. Córdova, T. T. Dumitrescu, and K. Intriligator, Exploring 2-Group Global Symmetries
2019
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F. Benini, C. Córdova, and P.-S. Hsin, On 2-Group Global Symmetries and their Anomalies
2019
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2019
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2019
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R. Thorngren, Anomalies and Bosonization
2020
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2020
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Y. Tachikawa, On gauging finite subgroups
2020
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Y.-H. Lin and S.-H. Shao, ℤ N \mathbb{Z}_{N} symmetries, anomalies, and the modular bootstrap
2021
Closest in time.
2021
Closest in time.