Topological obstructions in Lagrangian field theories, with an application to 3D Chern–Simons gauge theory

DOI10.1063/1.4975336zbMath1406.70036arXiv1608.05789OpenAlexW2510492558MaRDI QIDQ2968448

Marcella Palese, Ekkehart Winterroth

Publication date: 13 March 2017

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

Full work available at URL: https://arxiv.org/abs/1608.05789

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws in mechanics of particles and systems (70S10)

Related Items (7)

Variational sequences, representation sequences and applications in physics ⋮ Geometric integration by parts and Lepage equivalents ⋮ Chern–Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections ⋮ A cohomological obstruction in higher-dimensional Chern–Simons gauge theories ⋮ Variations by generalized symmetries of local Noether strong currents equivalent to global canonical Noether currents ⋮ Symmetry transformations of extremals and higher conserved quantities: Invariant Yang–Mills connections ⋮ Higgs fields induced by Yang–Mills type Lagrangians on gauge-natural prolongations of principal bundles

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