Algebraic characterization of the Wess-Zumino consistency conditions in gauge theories

Abstract

A new way of solving the descent equations corresponding to the Wess-Zumino consistency conditions is presented. The method relies on the introduction of an operator $\delta$ which allows to decompose the exterior space-time derivative $d$ as a $BRS$ commutator. The case of the Yang-Mills theories is treated in detail.

16 pages, UGVA-DPT 1992/08-781 to appear in Comm. Math. Phys

References in corpus (1)

• General Solution of the Consistency Equation

Cited by in corpus (29)

• Local BRST cohomology in Einstein--Yang--Mills theory
• Stability and renormalization of Yang-Mills theory with Background Field Method: a regularization independent proof
• Renormalization of Non-Semisimple Gauge Models with the Background Field Method
• Algebraic structure of Gravity with Torsion
• A Closed form for Consistent Anomalies in Gauge Theories
• The Abelian Antighost Equation for The Standard Model in the `t Hooft-Background Gauge
• Constructive algebraic renormalization of the abelian Higgs-Kibble model
• Axial anomaly in multi-Weyl and triple-point semimetals
• Lie algebra cohomology and group structure of gauge theories
• Yang-Mills gauge anomalies in the presence of gravity with torsion
• Algebraic Characterization of Vector Supersymmetry in Topological Field Theories
• BRS Cohomology of Zero Curvature Systems I. The Complete Ladder Case
• Ghost Equations and Diffeomorphism Invariant Theories
• An Algebraic Criterion for the Ultraviolet Finiteness of Quantum Field Theories
• Results on the Wess-Zumino consistency condition for arbitrary Lie algebras
• BRS Cohomology of Zero Curvature Systems II. The Noncomplete Ladder Case
• Algebraic structure of gravity in Ashtekar variables
• Two--Dimensional BF Model Quantized in the Axial Gauge
• BRST Cohomology is Lie Algebroid Cohomology
• BRST Cohomology of N=2 Super-Yang-Mills Theory in 4D
• Consistent gravitational anomalies for chiral bosons
• Vector supersymmetry of the superstring in the super-Beltrami parametrization
• A generalized p-form model in D=3
• Zero Curvature Formalism of the 4D Yang-Mills Theory in Superspace
• The finiteness of the four dimensional antisymmetric tensor field model in a curved background
• Supersymmetric structure of the induced W gravities
• Kodaira-Spencer Anomalies with Stora-Zumino Method
• Algebraic characterization of gauge anomalies on a nontrivial bundle
• BRST Cohomology of the Superstring in Super-Beltrami Parametrization