$N=2$ Topological Yang-Mills Theories and Donaldson's Polynomials

S. Hyun; J. -S. Park

$N=2$ Topological Yang-Mills Theories and Donaldson's Polynomials

High Energy Physics - Theory 2008-02-03 v3

Authors: S. Hyun , J. -S. Park

Abstract

The $N=2$ topological Yang-Mills and holomorphic Yang-Mills theories on simply connected compact K\"{a}hler surfaces with $p_g\geq 1$ are reexamined. The $N=2$ symmetry is clarified in terms of a Dolbeault model of the equivariant cohomology. We realize the non-algebraic part of Donaldson's polynomial invariants as well as the algebraic part. We calculate Donaldson's polynomials on $H^{2,0}(S,\BZ)\oplus H^{0,2}(S,\BZ)$ .

Keywords

topological Yang-Mills theory Donaldson polynomials N=2 supersymmetry equivariant cohomology Kahler surfaces holomorphic Yang-Mills

Cite

@article{arxiv.hep-th/9404009,
  title  = {$N=2$ Topological Yang-Mills Theories and Donaldson's Polynomials},
  author = {S. Hyun and J. -S. Park},
  journal= {arXiv preprint arXiv:hep-th/9404009},
  year   = {2008}
}

Comments

30 pages, YUMS-94-08 : thoroughly rewritten version, including new observations, refinements and corrections

$N=2$ Topological Yang-Mills Theories and Donaldson's Polynomials

Abstract

Keywords

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