Symmetry protected topological phases and generalized cohomology
By D. Gaiotto, Theo Johnson-Freyd. Journal of High Energy Physics, 2017
133 citations recorded by the source corpus.
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 [20, 23]. 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.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/0a58f3d3a5d1a7f8528ffaa61dc5ecbe2919c645
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond (2022, background): “The anomaly theory in such cases is called invertible [257, 258] (see also [55, 259, 260]).”
- Average Symmetry-Protected Topological Phases (2022, background): “[51] Davide Gaiotto and Theo Johnson-Freyd, “Symmetry”
- On 2-group global symmetries and their anomalies (2018, methodology): “These topological actions for 2-group gauge fields were subsequently generalized in [11, 12] and play an essential role in our discussion of 2-group ’t Hooft anomalies in Section 3.”