BRS Cohomology of Zero Curvature Systems I. The Complete Ladder Case

Abstract

We present here the zero curvature formulation for a wide class of field theory models. This formalism, which relies on the existence of an operator $\d$ which decomposes the exterior space-time derivative as a BRS commutator, turns out to be particularly useful in order to solve the Wess-Zumino consistency condition. The examples of the topological theories and of the $B$-$C$ string ghost system are considered in detail.

19 pages, latex, no figures, latex improved

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Cited by in corpus (11)

• Local BRST cohomology in gauge theories
• A Poincare lemma for sigma models of AKSZ type
• Algebraic Characterization of Vector Supersymmetry in Topological Field Theories
• BRS Cohomology of Zero Curvature Systems I. The Complete Ladder Case
• On the symmetries of BF models and their relation with gravity
• A note on local BRST cohomology of Yang-Mills type theories with free abelian factors
• BRS Cohomology of Zero Curvature Systems II. The Noncomplete Ladder Case
• Symmetries of topological field theories in the BV-framework
• Seiberg-Witten map for the 4D noncommutative BF theory
• Zero Curvature Formalism of the 4D Yang-Mills Theory in Superspace
• Algebraic characterization of gauge anomalies on a nontrivial bundle