Quantum dynamics on (super)groups: Constraints and the ‘‘BRST’’ supergroup

DOI10.1063/1.529447zbMath0762.17025OpenAlexW2030178963MaRDI QIDQ3991600

Victor Aldaya, Jose Navarro-Salas, Renate Loll

Publication date: 28 June 1992

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

Full work available at URL: https://dspace.library.uu.nl/handle/1874/7497

zbMATH Keywords

quantizationsupergroupBRST-charge

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory (81R99) Lie groups (22E99)

Cites Work

• Quantization on the Virasoro group
• Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations
• Coadjoint orbits of the Virasoro group
• Formal group laws for affine Kac-Moody groups and group quantization
• Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras
• Kac-Moody group representations and generalization of the Sugawara construction of the Virasoro algebra
• Algebraic quantization on a group and nonabelian constraints
• Deformation theory and quantization. II: Physical applications
• The extended phase space of the BRS approach
• Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts
• Semi-infinite cohomology and string theory
• Group theoretic quantisation of strings on tori
• Quantization as a consequence of the symmetry group: An approach to geometric quantization
• Yang–Mills theory and the Batalin–Fradkin–Vilkovisky formalism

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