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

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Hauptverfasser: Kim, Sung-Soo, Li, Xiaobin, Yagi, Futoshi, Zhu, Rui-Dong
Format: Preprint
Veröffentlicht: 2024
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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