Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts

DOI10.1007/BF01225504zbMath0685.58054WikidataQ59307943 ScholiaQ59307943MaRDI QIDQ1826187

Marc Henneaux, Claudio Teitelboim, James D. Stasheff, Jean M. L. Fisch

Publication date: 1989

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

zbMATH Keywords

BRST cohomologysuperstringsuperparticlegauge symmetriesBRST chargeKoszul-Tate differentialBRST generatorp-form gauge fields

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Quantum field theory; related classical field theories (81T99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Homology and cohomology theories in algebraic topology (55N99)

Related Items (43)

BRST cohomology for certain reducible topological symmetries ⋮ On the geometry of ghosts ⋮ Local cohomology in gauge theories, BRST transformations and anomalies ⋮ Reduction of Poisson algebras at nonzero momentum values ⋮ KOSZUL–TATE COHOMOLOGY FOR AN SP(2)-COVARIANT QUANTIZATION OF GAUGE THEORIES WITH LINEARLY DEPENDENT GENERATORS ⋮ IRREDUCIBLE HAMILTONIAN APPROACH TO THE FREEDMAN–TOWNSEND MODEL ⋮ Homological algebra and Yang-Mills theory ⋮ Quantum dynamics on (super)groups: Constraints and the ‘‘BRST’’ supergroup ⋮ Characteristic cohomology of \(p\)-form gauge theories ⋮ A Poincaré Lemma for sigma models of AKSZ type ⋮ Gauge fixing invariance and anti-BRST symmetry ⋮ Algebraic structure of the BRST symmetry ⋮ The BRS method of geometric quantization: Some examples ⋮ Duality theorems in BRST cohomology ⋮ Structure of higher spin gauge interactions ⋮ The generalized Koszul differential in the BRST quantization ⋮ A topological characterization of classical BRST cohomology ⋮ Local BRST cohomology in (non-)Lagrangian field theory ⋮ BRST-ANTIFIELD QUANTIZATION: A SHORT REVIEW ⋮ Classical BRST cohomology and invariant functions on constraint manifolds. I ⋮ Constraints in Hamiltonian time-dependent mechanics ⋮ LAGRANGIAN Sp(3) BRST SYMMETRY FOR IRREDUCIBLE GAUGE THEORIES ⋮ GAUGE ALGEBRA OF IRREDUCIBLE THEORIES IN THE Sp(2)-SYMMETRIC BRST FORMALISM ⋮ The BRST complex of homological Poisson reduction ⋮ Lectures on \(2\)D Yang-Mills theory, equivariant cohomology and topological field theories ⋮ The role of antifields in BRST theory ⋮ Geometric quantization of the BRST charge ⋮ Generalized classical BRST cohomology and reduction of Poisson manifolds ⋮ On the ``irreducible Freedman-Townsend vertex ⋮ REMARKS ON EXISTENCE OF PROPER ACTION FOR REDUCIBLE GAUGE THEORIES ⋮ Becchi–Rouet–Stora–Tyutin formalism and zero locus reduction ⋮ An Sp(2)-covariant version of generalized canonical quantization of dynamical systems with linearly dependent constraints ⋮ Homological perturbation theory and the algebraic structure of the antifield-antibracket formalism for gauge theories ⋮ BRST approach to translational symmetry and the geometry of flat manifolds with torsion ⋮ \(N=1\) superstring in \(2+2\) dimensions ⋮ Local BRST cohomology in gauge theories ⋮ Renormalization of gauge invariant operators and anomalies in Yang-Mills theory ⋮ Hamiltonian BRST-anti-BRST theory ⋮ On the quantization of reducible gauge systems ⋮ The antifield Koszul–Tate complex of reducible Noether identities ⋮ Geometric BRST quantization. I: Prequantization ⋮ Spacetime locality of the BRST formalism ⋮ Quantization and bosonic BRST theory

Cites Work

• BRST cohomology in classical mechanics
• The partition function of degenerate quadratic functional and Ray-Singer invariants
• Constrained Poisson algebras and strong homotopy representations
• Unnamed Item

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