Structure of BRS-Invariant Local Functionals

Abstract

For a large class of gauge theories a nilpotent BRS-operator $s$ is constructed and its cohomology in the space of local functionals of the off-shell fields is shown to be isomorphic to the cohomology of $\4s=s+d$ on functions $f(\4C,\PH)$ of tensor fields $\PH$ and of variables $\4C$ which are constructed of the ghosts and the connection forms. The result allows general statements about the structure of invariant classical actions and anomaly candidates whose BRS-variation vanishes off-shell. The assumptions under which the result holds are thoroughly discussed.

20 pages, Latex, NIKHEF-H 93-21

References in corpus (1)

• General Solution of the Consistency Equation

Cited by in corpus (10)

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• Local BRST cohomology and covariance
• Local BRST cohomology in minimal D=4, N=1 supergravity
• BRST Symmetry and Cohomology
• BRS Cohomology of Zero Curvature Systems I. The Complete Ladder Case
• Algebraic structure of gravity in Ashtekar variables
• BRST cohomology of Yang-Mills gauge fields in the presence of gravity in Ashtekar variables
• Geometrical representation of Euclidean general relativity in the canonical formalism
• Couplings of gravity to antisymmetric gauge fields
• The Yang--Mills gauge field theory in the context of a generalized BRST--formalism including translations