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We discuss an isomorphism between the possible anomalies of $(d+1)$-dimensional quantum field theories with $\mathbb{Z}_{2}$ unitary global symmetry, and those of $d$-dimensional quantum field theories with time-reversal symmetry $\mathsf{T}$.
1902
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J. Fuchs, I. Runkel, and C. Schweigert, “TFT construction of RCFT correlators. 3. Simple currents,” Nucl. Phys
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A. Kitaev, “Homotopy-Theoretic Approach to SPT Phases in Action: Z16 Classification of Three-Dimensional Superconductors,” Seminar at UCLA, 2015
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2011
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L. Fidkowski and A. Kitaev, “Topological phases of fermions in one dimension,” Phys. Rev. B
2011
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S. Ryu and S.-C. Zhang, “Interacting topological phases and modular invariance,” Phys. Rev. B
2012
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A. Kitaev, “On the classification of short-range entangled states,” Seminar at Simons Center for Geometry and Physics, 2013
2013
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2013
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2013
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2014
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2017
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World Scientific, 2nd ed., 2018
P. B. Gilkey, The Geometry of Spherical Space Form Groups · 2018
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L. Bhardwaj and Y. Tachikawa, “On finite symmetries and their gauging in two dimensions,” JHEP
2018
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2018
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2019
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2019
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2019
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