English

Instanton counting and O-vertex

High Energy Physics - Theory 2023-02-01 v5 Mathematical Physics math.MP

Abstract

We present closed-form expressions of unrefined instanton partition functions for gauge groups of type BCDBCD as sums over Young diagrams. For SO(n)\mathrm{SO}(n) gauge groups, we provide a fivebrane web picture of our formula based on the vertex-operator formalism of the topological vertex with a new type called O-vertex for an O5-plane.

Keywords

Cite

@article{arxiv.2107.03656,
  title  = {Instanton counting and O-vertex},
  author = {Satoshi Nawata and Rui-Dong Zhu},
  journal= {arXiv preprint arXiv:2107.03656},
  year   = {2023}
}

Comments

14+17 pages; a mathematica file that can help the readers to check our results is attached; typos corrected in v5

R2 v1 2026-06-24T03:59:26.868Z