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A global symmetry of a quantum field theory is said to have an 't Hooft anomaly if it cannot be promoted to a local symmetry of a gauged theory.
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1998
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D. Anselmi, J. Erlich, D. Freedman and A. Johansen, Positivity constraints on anomalies in supersymmetric gauge theories , Phys. Rev. D 57
1998
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1998
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2000
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2001
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D. Sullivan, René thom’s work on geometric homology and bordism , BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY 41
2004
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P. B. Smith and D. Tong, What Symmetries are Preserved by a Fermion Boundary State? , 2006.07369
2006
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2014
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A. Kapustin, R. Thorngren, A. Turzillo and Z. Wang, Fermionic symmetry protected topological phases and cobordisms , Journal of High Energy Physics 2015
2015
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D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, Generalized Global Symmetries , JHEP 02
2015
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A. Kitaev, “Homotopy-theoretic approach to spt phases in action: Z16 classification of three-dimensional superconductors.” 2015
2015
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D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, Generalized global symmetries , Journal of High Energy Physics 2015
2015
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2016
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E. Witten, The “parity” anomaly on an unorientable manifold , Physical Review B 94
2016
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A. Kapustin and R. Thorngren, Fermionic spt phases in higher dimensions and bosonization , Journal of High Energy Physics 2017
2017
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D. Gaiotto, A. Kapustin, Z. Komargodski and N. Seiberg, Theta, time reversal and temperature , Journal of High Energy Physics 2017
2017
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T. Sulejmanpasic, H. Shao, A. W. Sandvik and M. Ünsal, Confinement in the bulk, deconfinement on the wall: Infrared equivalence between compactified qcd and quantum magnets , Physical Review Letters 119
2017
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K. Jensen, E. Shaverin and A. Yarom, ’t Hooft anomalies and boundaries , JHEP 01
2018
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Y. Nakayama, Realization of impossible anomalies , Phys. Rev. D 98
2018
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2018
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2018
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2018
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K. Shiozaki, C. Z. Xiong and K. Gomi, Generalized homology and atiyah-hirzebruch spectral sequence in crystalline symmetry protected topological phenomena , 2018
2018
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D. S. Freed and M. J. Hopkins, Reflection positivity and invertible topological phases , 2019
2019
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2019
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D. Gaiotto and T. Johnson-Freyd, Symmetry protected topological phases and generalized cohomology , Journal of High Energy Physics 2019
2019
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I. García-Etxebarria and M. Montero, Dai-freed anomalies in particle physics , Journal of High Energy Physics 2019
2019
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N. Andrei et al., Boundary and Defect CFT: Open Problems and Applications , J. Phys. A 53
2020
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