The BRST complex of homological Poisson reduction

DOI10.1007/s11005-016-0894-yzbMath1375.17015arXiv1410.3327OpenAlexW2234458419MaRDI QIDQ528285

Martin Müller-Lennert

Publication date: 12 May 2017

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

Full work available at URL: https://arxiv.org/abs/1410.3327

zbMATH Keywords

reductionquantizationBRST complex

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Quantization in field theory; cohomological methods (81T70) Homological methods in Lie (super)algebras (17B55) Poisson algebras (17B63) Open systems, reduced dynamics, master equations, decoherence (81S22)

Cites Work

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• Invariance of the BFV complex
• Homology of Noetherian rings and local rings
• Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras
• Homological reduction of constrained Poisson algebras
• Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts
• BRST cohomology and phase space reduction in deformation quantization
• The classical master equation
• Poisson-Geometrie und Deformationsquantisierung
• Star Products on Graded Manifolds and α’-corrections to Double Field Theory
• A generalized canonical formalism and quantization of reducible gauge theories
• Quantization of relativistic systems with constraints

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