English

Five-dimensional Chern-Simons terms and Nekrasov's instanton counting

High Energy Physics - Theory 2009-11-10 v1

Abstract

We extend the graviphoton-corrected prepotential of five-dimensional pure U(N) super Yang-Mills, which was originally proposed by Nekrasov, by incorporating the effect of the five-dimensional Chern-Simons term. This extension allows us to reproduce by a gauge theory calculation the partition functions of corresponding topological A-model on local toric Calabi-Yau manifolds X^m_N for all m=0,1,...,N. The original proposal corresponds to the case m=0.

Keywords

Cite

@article{arxiv.hep-th/0401184,
  title  = {Five-dimensional Chern-Simons terms and Nekrasov's instanton counting},
  author = {Yuji Tachikawa},
  journal= {arXiv preprint arXiv:hep-th/0401184},
  year   = {2009}
}

Comments

12 pages

R2 v1 2026-07-22T15:21:22.165Z