Extended higher cup-product Chern-Simons theories

DOI10.1016/j.geomphys.2013.07.011zbMath1280.81132arXiv1207.5449OpenAlexW1979947734MaRDI QIDQ391026

Urs Schreiber, Hisham Sati, Domenico Fiorenza

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5449

zbMATH Keywords

topological field theoriesM-theoryChern-Simons theorygeometric quantizationdifferential cohomologyM-branes

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Anomalies in quantum field theory (81T50) Topological field theories in quantum mechanics (81T45) Applications of global differential geometry to the sciences (53C80) Eta-invariants, Chern-Simons invariants (58J28) Geometric quantization (53D50) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items (22)

The Wess-Zumino-Witten term of the M5-brane and differential cohomotopy ⋮ Primary operations in differential cohomology ⋮ Framed M-branes, corners, and topological invariants ⋮ The Rational Higher Structure of M‐theory ⋮ Cyclification of orbifolds ⋮ Lie n-algebras of BPS charges ⋮ Topological actions via gauge variations of higher structures ⋮ Higher abelian Dijkgraaf-Witten theory ⋮ Symmetries and anomalies of \((1+1)d\) theories: 2-groups and symmetry fractionalization ⋮ Differential KO-theory: constructions, computations, and applications ⋮ Massey products in differential cohomology via stacks ⋮ Twisted cohomotopy implies M5-brane anomaly cancellation ⋮ Twisted smooth Deligne cohomology ⋮ Super-Lie n-algebra extensions, higher WZW models and super-p-branes with tensor multiplet fields ⋮ Twisted cohomotopy implies level quantization of the full 6d Wess-Zumino term of the M5-brane ⋮ Twisted differential generalized cohomology theories and their Atiyah-Hirzebruch spectral sequence ⋮ Differential cohomotopy versus differential cohomology for M-theory and differential lifts of Postnikov towers ⋮ Twisted cohomotopy implies twisted string structure on M5-branes ⋮ Ninebrane structures ⋮ Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality ⋮ A superspace description of Chern-Simons theory in Batalin-Vilkovisky formulation ⋮ Hamiltonian anomalies from extended field theories

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