On the notion of gauge symmetries of generic Lagrangian field theory

DOI10.1063/1.3049750zbMath1189.70142arXiv0807.3003OpenAlexW2055495004MaRDI QIDQ3650863

Giovanni Giachetta, Gennadi A. Sardanashvily, Luigi Mangiarotti

Publication date: 7 December 2009

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

Full work available at URL: https://arxiv.org/abs/0807.3003

zbMATH Keywords

Chern-Simons theoryYang-Mills theoryLie algebrasgravitationLagrangian field theory

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (12)

Geometric interpretation of fractional-order derivative ⋮ On the closure property of Lepage equivalents of Lagrangians ⋮ Conformal maps between pseudo-Finsler spaces ⋮ Dynamical symmetries, coherent states and nonlinear realizations: The SO(2,4) case ⋮ Higher-stage Noether identities and second Noether theorems ⋮ The fundamental Lepage form in variational theory for submanifolds ⋮ Covariant differential identities and conservation laws in metric-torsion theories of gravitation. I. General consideration ⋮ Covariant momentum map for non-Abelian topological BF field theory ⋮ A review on geometric formulations for classical field theory: the Bonzom–Livine model for gravity ⋮ Spacetime and observer space symmetries in the language of Cartan geometry ⋮ GAUGE CONSERVATION LAWS IN A GENERAL SETTING: SUPERPOTENTIAL ⋮ GRADED LAGRANGIAN FORMALISM

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• NOETHER IDENTITIES OF A DIFFERENTIAL OPERATOR: THE KOSZUL–TATE COMPLEX
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