BRST Symmetry and Cohomology

Abstract

We present the mathematical considerations which determine all gauge invariant actions and anomaly candidates in gauge theories of standard type such as ordinary or gravitational Yang Mills theories. Starting from elementary concepts of field theory the discussion tries to be explicit and complete, only the cohomology of simple Lie algebras it quoted from the literature.

75 pages, extends and supersedes hep-th/9602163, to appear in "Strings, Gauge Fields, and the Geometry Behind - The Legacy of Maximilian Kreuzer"

References in corpus (2)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Structure of BRS-Invariant Local Functionals

Cited by in corpus (18)

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• $L_{\infty }$-Algebras of Einstein-Cartan-Palatini Gravity
• Massive gravity from descent equations
• Perturbative Gravity in the Causal Approach
• Analysis of Unitarity in Conformal Quantum Gravity
• On the Perturbative Quantization of Einstein-Hilbert Gravity Embedded in a Higher Derivative Model
• FieldsX -- An extension package for the xAct tensor computer algebra suite to include fermions, gauge fields and BRST cohomology
• SUSY Invariants from the BRST Cohomology of the SOSO Model
• From massive gravity to modified general relativity II
• Lagrangian symmetries and supersymmetries depending on derivatives. Global analysis
• 4D supersymmetric gauge theories of spacetime translations
• Dynamical field inference and supersymmetry
• Consistent interactions of Curtright fields