Algebraic Structures of Topological Yang-Mills Theory
Abstract
Description
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.
30 pages, (Errors are fixed and some parts are rewritten.)
30 pages, (Errors are fixed and some parts are rewritten.)