Holomorphic Yang-Mills theory on compact Kähler manifolds

Abstract

We propose N=2 holomorphic Yang-Mills theory on compact Kähler manifolds and show that there exists a simple mapping from the N=2 topological Yang-Mills theory. It follows that intersection parings on the moduli space of Einstein-hermitianconnections can be determined by examining the small-coupling behavior of the N=2 holomorphic Yang-Mills theory. This paper is a higher-dimensional generalization of Witten's work on physical Yang-Mills theory in two dimensions.