Algebraic Structures of Topological Yang-Mills Theory

Details Algebraic Structures of Topological Yang-Mills Theory Algebraic Structures of Topological Yang-Mills Theory

1992-04-20

arxiv.org/abs/hep-th/9204058v3

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, (Errors are fixed and some parts are rewritten.)

Scientific paper

We discuss the algebraic structure of the various BRST symmetries associated with topological Yang-Mills theory as a generalization of the BRS analysis developed for the non-Abelian anomaly in the local Yang-Mills theory. We show that our BRST algebra leads to an extended {\it Russian formula\/} and {\it descent equations}, which contains the descent equation of Yang-Mills theory as sub-relations. We propose the non-Abelian anomaly counterpart in Topological Yang-Mills theory using the extended descent equation. We also discuss the geometrical structure of our BRST symmetry and some explicit solutions of the extended descent equation are calculated.

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