English

O-vertex, O7$^+$-plane, and Topological Vertex

High Energy Physics - Theory 2025-04-30 v2

Abstract

We revisit the instanton partition function for 5d N=1\mathcal{N}=1 SO(NN) gauge theories compactified on S1^1, computed from the topological vertex formalism with the O-vertex based on a 5-brane web diagram with an O5-plane. We introduce an identity that enables us to rewrite the unrefined partition function into a new expression in terms of the Nekrasov factors summed over Young diagrams, which can be interpreted as the freezing of an O7-plane. Based on this, we propose topological vertex formalism with an O7+^+-plane.

Cite

@article{arxiv.2412.19655,
  title  = {O-vertex, O7$^+$-plane, and Topological Vertex},
  author = {Sung-Soo Kim and Xiaobin Li and Futoshi Yagi and Rui-Dong Zhu},
  journal= {arXiv preprint arXiv:2412.19655},
  year   = {2025}
}

Comments

v1: 32 pages, 12 figures, v2: published version

R2 v1 2026-06-28T20:49:54.291Z