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-Hermitian connections 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 the Witten's work on physical Yang-Mills theory in two dimensions.

24pages, harvmac.tex with AMSfonts 2.1, ESENAT-93-02 and YUMS-93-11

References in corpus (5)

• Two Dimensional Gauge Theories Revisited
• Two Dimensional QCD is a String Theory
• Twists and Wilson Loops in the String Theory of Two Dimensional QCD
• N=2 topological gauge theory, the Euler characteristic of moduli spaces, and the Casson invariant
• N=2 Topological Yang-Mills Theory on Compact Kähler Surfaces

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