Four dimensional topological quantum field theories from \(G\)-crossed braided categories

DOI10.4171/QT/128MaRDI QIDQ2295743

Shawn Xingshan Cui

Publication date: 14 February 2020

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07628

zbMATH Keywords

quantum invariantsfusion categoriesTQFTs

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Fusion categories, modular tensor categories, modular functors (18M20) General topology of 4-manifolds (57K40)

Related Items (8)

Trivializing group actions on braided crossed tensor categories and graded braided tensor categories ⋮ Semisimple four‐dimensional topological field theories cannot detect exotic smooth structure ⋮ Non-invertible duality defect and non-commutative fusion algebra ⋮ A 3‐categorical perspective on G$G$‐crossed braided categories ⋮ Evaluating TQFT invariants from \(G\)-crossed braided spherical fusion categories via Kirby diagrams with 3-handles ⋮ G‐crossed braided zesting ⋮ Anomalies in (2+1)D fermionic topological phases and (3+1)D path integral state sums for fermionic SPTs ⋮ Lieb-Schultz-Mattis theorem and the filling constraint

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