Duality theorems in BRST cohomology

DOI10.1016/0003-4916(89)90274-1zbMath0702.47048OpenAlexW1970260952WikidataQ59307928 ScholiaQ59307928MaRDI QIDQ915112

Marc Henneaux

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0003-4916(89)90274-1

zbMATH Keywords

Fock representationduality theoremPoincaré dualityBRST cohomologiesgauge systemsoperator cohomologypositive and negative ghost numbersSchrödinger representation with compact gauge orbitsstate cohomology

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) General quantum mechanics and problems of quantization (81S99)

Related Items (6)

BRS cohomology in string theory: Geometry of Abelization and the quartet mechanism ⋮ BRST cohomology is Lie algebroid cohomology ⋮ Redundancy of the quantum level gauge condition ⋮ Lie algebroids and the geometry of off-shell BRST ⋮ Classical states and the BRST charge ⋮ BRST-quantization of gauge theories in Hamiltonian-like gauges.

Cites Work

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• Homological perturbation theory and the algebraic structure of the antifield-antibracket formalism for gauge theories
• Homology of Noetherian rings and local rings
• Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations
• Systèmes dynamiques contraints: l'approche homologique. (Constraint dynamical systems: homological approach)
• Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras
• BRST cohomology in classical mechanics
• Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts
• The Batalin, Fradkin, and Vilkovisky formalism for higher-order theories
• A remark on BRST quantization

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