COVARIANT LAGRANGIAN FORMULATION OF CHERN–SIMONS AND BF THEORIES

DOI10.1142/S0219887806001363zbMath1095.81056WikidataQ117553833 ScholiaQ117553833MaRDI QIDQ5484722

Andrzej Zdzisław Borowiec, Marco Ferraris, Mauro Francaviglia, Lorenzo Fatibene

Publication date: 21 August 2006

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

variational calculusconservation lawssuperpotentialsBF theoriesChern--Simons theories

Mathematics Subject Classification ID

Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Groups and algebras in quantum theory and relations with integrable systems (81R12) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (17)

Expanding Lie (super)algebras through Abelian semigroups ⋮ Alternative approach to the regularization of odd-dimensional AdS gravity ⋮ Gauge symmetries and holographic anomalies of Chern-Simons and transgression AdS gravity ⋮ Integrability and BRST invariance from BF topological theory ⋮ Topological gravity and gauged Wess-Zumino-Witten term ⋮ Brans-Dicke gravity theory from topological gravity ⋮ Transgression field theory at the interface of topological insulators ⋮ On eleven-dimensional supergravity and Chern-Simons theory ⋮ The extended Cartan homotopy formula and a subspace separation method for Chern-Simons theory ⋮ Perturbative BF theory ⋮ Conformal gravity: light deflection revisited and the galactic rotation curve failure ⋮ Covariant differential identities and conservation laws in metric-torsion theories of gravitation. II. Manifestly generally covariant theories ⋮ Hamiltonian analysis of Einstein-Chern-Simons gravity ⋮ Gauged Wess-Zumino-Witten actions for generalized Poincaré algebras ⋮ Eleven-dimensional gauge theory for the \(M\)-algebra as an abelian semigroup expansion of \(\mathfrak{osp} ( 32 | 1 )\) ⋮ On the notion of gauge symmetries of generic Lagrangian field theory ⋮ CLASSICAL FIELD THEORY: ADVANCED MATHEMATICAL FORMULATION

Cites Work

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• Characteristic forms and geometric invariants
• Lagrangian symmetries of Chern-Simons theories
• Charges and energy in Chern–Simons theories and Lovelock gravity
• Noether currents for BF gravity
• Global d-invariance in field theory
• A covariant formalism for Chern Simons gravity
• Covariant charges in Chern Simons AdS ₃ gravity
• Generalized symmetries in mechanics and field theories
• Topological BF theories in 3 and 4 dimensions
• Some Cohomology Classes in Principal Fiber Bundles and Their Application to Riemannian Geometry
• NOETHER CONSERVATION LAWS IN HIGHER-DIMENSIONAL CHERN–SIMONS THEORY

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