o顶点、O7+平面和拓扑顶点

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy
Sung-Soo Kim, Xiaobin Li, Futoshi Yagi, Rui-Dong Zhu
{"title":"o顶点、O7+平面和拓扑顶点","authors":"Sung-Soo Kim,&nbsp;Xiaobin Li,&nbsp;Futoshi Yagi,&nbsp;Rui-Dong Zhu","doi":"10.1007/JHEP04(2025)182","DOIUrl":null,"url":null,"abstract":"<p>We revisit the instanton partition function for 5d <span>\\( \\mathcal{N} \\)</span> = 1 SO(<i>N</i>) gauge theories compactified on S<sup>1</sup>, 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<sup>+</sup>-plane.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 4","pages":""},"PeriodicalIF":5.4000,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP04(2025)182.pdf","citationCount":"0","resultStr":"{\"title\":\"O-vertex, O7+-plane, and topological vertex\",\"authors\":\"Sung-Soo Kim,&nbsp;Xiaobin Li,&nbsp;Futoshi Yagi,&nbsp;Rui-Dong Zhu\",\"doi\":\"10.1007/JHEP04(2025)182\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We revisit the instanton partition function for 5d <span>\\\\( \\\\mathcal{N} \\\\)</span> = 1 SO(<i>N</i>) gauge theories compactified on S<sup>1</sup>, 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<sup>+</sup>-plane.</p>\",\"PeriodicalId\":635,\"journal\":{\"name\":\"Journal of High Energy Physics\",\"volume\":\"2025 4\",\"pages\":\"\"},\"PeriodicalIF\":5.4000,\"publicationDate\":\"2025-04-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/JHEP04(2025)182.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of High Energy Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/JHEP04(2025)182\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/JHEP04(2025)182","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0

摘要

我们重新研究了5d \( \mathcal{N} \) = 1so (N)规范理论在S1上紧化的瞬时配分函数,这些理论是基于o5平面的5膜网图,基于o顶点的拓扑顶点形式化计算的。我们引入了一个恒等式,使我们能够将未精炼的配分函数改写成一个新的表达式,该表达式根据涅克拉索夫因子在杨图上求和,这可以解释为o7平面的冻结。在此基础上,我们提出了O7+平面的拓扑顶点形式化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
O-vertex, O7+-plane, and topological vertex

We revisit the instanton partition function for 5d \( \mathcal{N} \) = 1 SO(N) gauge theories compactified on S1, 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.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Journal of High Energy Physics
Journal of High Energy Physics 物理-物理:粒子与场物理
CiteScore
10.30
自引率
46.30%
发文量
2107
审稿时长
1.5 months
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信