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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.19655 |
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| _version_ | 1866912352156254208 |
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| author | Kim, Sung-Soo Li, Xiaobin Yagi, Futoshi Zhu, Rui-Dong |
| author_facet | Kim, Sung-Soo Li, Xiaobin Yagi, Futoshi Zhu, Rui-Dong |
| contents | We revisit the instanton partition function for 5d $\mathcal{N}=1$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19655 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | O-vertex, O7$^+$-plane, and Topological Vertex Kim, Sung-Soo Li, Xiaobin Yagi, Futoshi Zhu, Rui-Dong High Energy Physics - Theory We revisit the instanton partition function for 5d $\mathcal{N}=1$ 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. |
| title | O-vertex, O7$^+$-plane, and Topological Vertex |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.19655 |