Holomorphic Yang-Mills Theory on Compact Kähler Manifolds

Details Holomorphic Yang-Mills Theory on Compact Kähler Manifolds Holomorphic Yang-Mills Theory on Compact Kähler Manifolds

1993-05-20

arxiv.org/abs/hep-th/9305095v6

Nucl.Phys. B423 (1994) 559-579

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0550-3213(94)90144-9

We propose $N=2$ holomorphic Yang-Mills theory on compact K\"{a}hler 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.

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