Higher anomalies, higher symmetries, and cobordisms. II: Lorentz symmetry extension and enriched bosonic/fermionic quantum gauge theory

DOI10.4310/AMSA.2020.V5.N2.A2MaRDI QIDQ2218177

Yunqin Zheng, Zheyan Wan, Juven Wang

Publication date: 14 January 2021

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

Full work available at URL: https://arxiv.org/abs/1912.13504

zbMATH Keywords

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

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Yang-Mills and other gauge theories in quantum field theory (81T13) Anomalies in quantum field theory (81T50) Applications of Lie groups to the sciences; explicit representations (22E70) Statistical mechanics of superconductors (82D55) Topological field theories in quantum mechanics (81T45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Structure and representation of the Lorentz group (22E43) Bordism and cobordism theories and formal group laws in algebraic topology (55N22)

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