Variational formulation of Chern--Simons theory for arbitrary Lie groups

DOI10.1016/j.geomphys.2003.11.005zbMath1133.58303OpenAlexW2034573002WikidataQ115353535 ScholiaQ115353535MaRDI QIDQ1781413

Niranjan Chakravarthy

Publication date: 27 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2003.11.005

zbMATH Keywords

Chern-Simons theoryPoincaré-Cartan formsCalculus of variationsInfinitesimal symmetriesBundle of connectionsGlobal inverse problemNoether invariants

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Sheaf cohomology in algebraic topology (55N30) Jets in global analysis (58A20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) de Rham theory in global analysis (58A12) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Eta-invariants, Chern-Simons invariants (58J28) Connections (general theory) (53C05) 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 (3)

Chern–Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections ⋮ Euler-Poincaré reduction on frame bundles ⋮ Variational principles for locally variational forms

Cites Work

• Topological gauge theories and group cohomology
• Poincaré-Cartan forms in higher order variational calculus on fibred manifolds
• Quantum field theory and the Jones polynomial
• A global version of the inverse problem of the calculus of variations
• Gauge algebras, curvature and symplectic structure
• On different geometric formulations of Lagrangian formalism
• Classical Chern-Simons theory. I
• The Hamilton-Cartan formalism in the calculus of variations
• Connections and 1-jet fiber bundles
• Complex Analytic Connections in Fibre Bundles
• On the Existence of Global Variational Principles
• Finite order variational bicomplexes
• The geometry of the bundle of connections
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