Infinite tower extension of topological Yang-Mills theory

Abstract

Introducing an infinite number of fields which form a half-infinite chain representation of the BRST algebra, we construct an extended topological Yang-Mills theory. The properties of the theory are discussed from the standpoint of the covariant canonical quantization. It is shown that the extended topological Yang-Mills theory becomes a cohomological topological field theory or a theory equivalent to a quantum Yang-Mills theory with an anti-self-dual constraint according to subsidiary conditions imposed on the state-vector space.