Boundary conditions for topological quantum field theories, anomalies and projective modular functors

DOI10.1007/s00220-015-2371-3zbMath1321.81057arXiv1409.5723OpenAlexW3100284537MaRDI QIDQ2354000

Domenico Fiorenza, Alessandro Valentino

Publication date: 10 July 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5723

zbMATH Keywords

boundary conditionstopological field theoryTQFTanomaliesanomalous TQFTsmoduli levelprojective modular functors

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) Cobordism in PL-topology (57Q20)

Related Items (10)

Extended quantum field theory, index theory, and the parity anomaly ⋮ 't Hooft anomalies of discrete gauge theories and non-abelian group cohomology ⋮ Categories of quantum liquids. I. ⋮ Supersymmetric field theories from twisted vector bundles ⋮ (Op)lax natural transformations, twisted quantum field theories, and ``even higher Morita categories ⋮ Remarks on the Green-Schwarz terms of six-dimensional supergravity theories ⋮ Geometry and 2-Hilbert space for nonassociative magnetic translations ⋮ On dualizability of braided tensor categories ⋮ Frobenius algebras and homotopy fixed points of group actions on bicategories ⋮ Hamiltonian anomalies from extended field theories

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