Noether’s second theorem for BRST symmetries

DOI10.1063/1.1899988zbMath1110.58010arXivmath-ph/0412034OpenAlexW2106902139MaRDI QIDQ3438440

Denis Bashkirov, Gennadi A. Sardanashvily, Giovanni Giachetta, Luigi Mangiarotti

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0412034

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Quantization in field theory; cohomological methods (81T70) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (14)

On the geometry of ghosts ⋮ GRADED INFINITE ORDER JET MANIFOLDS ⋮ The KT-BRST complex of a degenerate Lagrangian system ⋮ Variations by generalized symmetries of local Noether strong currents equivalent to global canonical Noether currents ⋮ NOETHER IDENTITIES OF A DIFFERENTIAL OPERATOR: THE KOSZUL–TATE COMPLEX ⋮ Covariant differential identities and conservation laws in metric-torsion theories of gravitation. I. General consideration ⋮ Frölicher-smooth geometries, quantum jet bundles and BRST symmetry ⋮ Lagrangian reductive structures on gauge-natural bundles ⋮ Higgs fields induced by Yang–Mills type Lagrangians on gauge-natural prolongations of principal bundles ⋮ On the notion of gauge symmetries of generic Lagrangian field theory ⋮ GRADED LAGRANGIAN FORMALISM ⋮ CLASSICAL FIELD THEORY: ADVANCED MATHEMATICAL FORMULATION ⋮ CANONICAL CONNECTIONS IN GAUGE-NATURAL FIELD THEORIES ⋮ The antifield Koszul–Tate complex of reducible Noether identities

Cites Work

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• Homological perturbation theory and the algebraic structure of the antifield-antibracket formalism for gauge theories
• Local BRST cohomology in gauge theories
• Cohomology of the infinite-order jet space and the inverse problem
• COHOMOLOGY OF THE VARIATIONAL COMPLEX IN FIELD–ANTIFIELD BRST THEORY
• On the Existence of Global Variational Principles
• Generalized symmetries in mechanics and field theories
• NOETHER CONSERVATION LAWS IN HIGHER-DIMENSIONAL CHERN–SIMONS THEORY
• Iterated BRST cohomology
• Jet coordinates for local BRST cohomology

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