Homological Algebra and Yang-Mills Theory
Marc Henneaux
TL;DR
This paper surveys the antifield-BRST formalism and cohomologies in Yang-Mills gauge theory, emphasizing the role of the Koszul-Tate resolution and its connection to characteristic cohomology.
Contribution
It provides a comprehensive overview of the cohomological methods in Yang-Mills theory, highlighting the importance of the Koszul-Tate resolution.
Findings
Clarifies the role of the Koszul-Tate resolution in gauge theories
Connects cohomological structures to physical gauge invariances
Provides insights into the mathematical framework of Yang-Mills theory
Abstract
The antifield-BRST formalism and the various cohomologies associated with it are surveyed and illustrated in the context of Yang-Mills gauge theory. In particular, the central role played by the Koszul-Tate resolution and its relation to the characteristic cohomology are stressed.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematics and Applications · Advanced Mathematical Theories and Applications