Higher anomalies, higher symmetries, and cobordisms. I: Classification of higher-symmetry-protected opological states and their boundary fermionic/bosonic anomalies via a generalized cobordism theory

DOI10.4310/AMSA.2019.v4.n2.a2zbMath1427.18009arXiv1812.11967OpenAlexW3114467465MaRDI QIDQ2008380

Juven Wang, Zheyan Wan

Publication date: 25 November 2019

Published in: Annals of Mathematical Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.11967

zbMATH Keywords

quantum field theoryspectral sequencesgauge theorycohomology theorycobordism theoryquantum anomaly't Hooft anomalyinvertible topological ordersinvertible topological quantum field theorysymmetry protected topological statestopological insulators/superconductors

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Yang-Mills and other gauge theories in quantum field theory (81T13) Topological quantum field theories (aspects of differential topology) (57R56) Bordism and cobordism theories and formal group laws in algebraic topology (55N22)

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