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Symmetry Protected Topological phases and Generalized Cohomology
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Symmetry Protected Topological phases and Generalized Cohomology
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We discuss the classification of SPT phases in condensed matter systems. We review Kitaev's argument that SPT phases are classified by a generalized cohomology theory, valued in the spectrum of gapped physical systems. We propose a concrete description of that spectrum and of the corresponding cohomology theory. We compare our proposal to pre-existing constructions in the literature.
Forward citations
Cited by 7 Pith papers
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Half-Spacetime Gauging of 2-Group Symmetry in 3d
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This review summarizes transformative examples of generalized symmetries in QFT and their applications to anomalies and dynamics.
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