O-vertex, O7+-plane, and topological vertex
A bstract We revisit the instanton partition function for 5d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 SO( N ) gauge theories compactified on S 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.
Authors
- Futoshi Yagi (ORCID: https://orcid.org/0000-0002-6217-5151)
- Rui-Dong Zhu (ORCID: https://orcid.org/0000-0002-2160-1847)
- Sung-Soo Kim (ORCID: https://orcid.org/0000-0001-7977-193X)
- Xiaobin Li (ORCID: https://orcid.org/0000-0002-7755-9908)
Institutions
- University of Electronic Science and Technology of China (CN)
- Huzhou Normal University (CN)
- Southwest Jiaotong University (CN)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-04-23
- DOI
- https://doi.org/10.1007/jhep04(2025)182
- Citations
- 1
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 4.09
Funders
- National Natural Science Foundation of China
- Government of Jiangsu Province
- Fudan University
- Tianjin University
- Sichuan University
- University of Electronic Science and Technology of China
- Soochow University
- Xiamen University
- Fundamental Research Funds for the Central Universities