Geometric BRST quantization. I: Prequantization

DOI10.1007/BF02100022zbMath0727.58020MaRDI QIDQ803614

Takahashi Kimura, José M. Figueroa-O'Farrill

Publication date: 1991

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

zbMATH Keywords

symplectic reductionBRST quantizationgeometric quantizationprequantization

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Geometric quantization (53D50)

Related Items (3)

Algebraic structure of the BRST symmetry ⋮ Geometry and topology of anti-BRST symmetry in quantized Yang–Mills gauge theories ⋮ Generalized classical BRST cohomology and reduction of Poisson manifolds

Cites Work

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• Cohomology of nilpotent groups of class 2
• A topological characterization of classical BRST cohomology
• Reduction and quantization for singular momentum mappings
• Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras
• Symmetry and bifurcations of momentum mappings
• Geometric quantization and multiplicities of group representations
• Reduction of symplectic manifolds with symmetry
• Homological reduction of constrained Poisson algebras
• Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts
• Constrained Poisson algebras and strong homotopy representations
• Quantization and unitary representations

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