Principal Bundles, Connections and BRST Cohomology
H. Garc\'ia-Compe\'an, J.M. L\'opez-Romero, M.A. Rodr\'iguez-Segura, and M. Socolovsky
TL;DR
This paper reviews the differential geometric foundations of gauge fields and BRST symmetry, highlighting their topological aspects and introducing a double Chevalley-Eilenberg complex to analyze their structure.
Contribution
It presents a geometric perspective on BRST symmetry and introduces a double Chevalley-Eilenberg complex to study gauge theories.
Findings
Topological interpretation of BRST symmetry
Introduction of a double Chevalley-Eilenberg complex
Enhanced understanding of gauge field structures
Abstract
We review the elementary theory of gauge fields and the Becchi-Rouet-Stora- Tyutin symmetry in the context of differential geometry. We emphasize the topological nature of this symmetry and discuss a double Chevalley-Eilenberg complex for it.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Black Holes and Theoretical Physics · Geometry and complex manifolds