English

Virasoro constraint for Nekrasov instanton partition function

High Energy Physics - Theory 2012-10-29 v2 Mathematical Physics math.MP

Abstract

We show that Nekrasov instanton partition function for SU(N) gauge theories satisfies recursion relations in the form of U(1)+Virasoro constraints when {\beta} = 1. The constraints give a direct support for AGT conjecture for general quiver gauge theories.

Cite

@article{arxiv.1207.5658,
  title  = {Virasoro constraint for Nekrasov instanton partition function},
  author = {Shoichi Kanno and Yutaka Matsuo and Hong Zhang},
  journal= {arXiv preprint arXiv:1207.5658},
  year   = {2012}
}

Comments

23 pages, 7 figures. v2: typos corrected

R2 v1 2026-06-21T21:40:35.552Z