关于Okuyama-Sakai猜想的一个新证明

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Reviews in Mathematical Physics Pub Date : 2023-03-16 DOI:10.1142/s0129055x23500253

Di Yang, Qingsheng Zhang

{"title":"关于Okuyama-Sakai猜想的一个新证明","authors":"Di Yang, Qingsheng Zhang","doi":"10.1142/s0129055x23500253","DOIUrl":null,"url":null,"abstract":"Okuyama and Sakai [JT supergravity and Brézin–Gross–Witten tau-function, J. High Energy Phys. 2020 (2020) 160] gave a conjectural equality for the higher genus generalized Brézin–Gross–Witten (BGW) free energies. In a recent work [D. Yang and Q. Zhang, On the Hodge-BGW correspondence, preprint (2021), arXiv:2112.12736], we established the Hodge-BGW correspondence on the relationship between certain special cubic Hodge integrals and the generalized BGW correlators, and a proof of the Okuyama–Sakai conjecture was also given ibid. In this paper, we give a new proof of the Okuyama–Sakai conjecture by a further application of the Dubrovin–Zhang theory for the KdV hierarchy.","PeriodicalId":54483,"journal":{"name":"Reviews in Mathematical Physics","volume":"24 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On a new proof of the Okuyama–Sakai conjecture\",\"authors\":\"Di Yang, Qingsheng Zhang\",\"doi\":\"10.1142/s0129055x23500253\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Okuyama and Sakai [JT supergravity and Brézin–Gross–Witten tau-function, J. High Energy Phys. 2020 (2020) 160] gave a conjectural equality for the higher genus generalized Brézin–Gross–Witten (BGW) free energies. In a recent work [D. Yang and Q. Zhang, On the Hodge-BGW correspondence, preprint (2021), arXiv:2112.12736], we established the Hodge-BGW correspondence on the relationship between certain special cubic Hodge integrals and the generalized BGW correlators, and a proof of the Okuyama–Sakai conjecture was also given ibid. In this paper, we give a new proof of the Okuyama–Sakai conjecture by a further application of the Dubrovin–Zhang theory for the KdV hierarchy.\",\"PeriodicalId\":54483,\"journal\":{\"name\":\"Reviews in Mathematical Physics\",\"volume\":\"24 1\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2023-03-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Reviews in Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s0129055x23500253\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Reviews in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0129055x23500253","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}

引用次数: 1

摘要

Okuyama和Sakai [JT超重力和brsamzin - gross - witten τ函数，J. High Energy physics . 2020(2020) 160]给出了高属广义brsamzin - gross - witten (BGW)自由能的推测等式。在最近的一项工作中[D]。Yang和Q. Zhang, On the Hodge-BGW对应，pre - print (2021)， arXiv:2112.12736]，我们在某些特殊三次Hodge积分与广义BGW相关器之间的关系上建立了Hodge-BGW对应，并给出了Okuyama-Sakai猜想的一个证明。在本文中，我们进一步应用Dubrovin-Zhang理论对KdV层次给出了Okuyama-Sakai猜想的一个新的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On a new proof of the Okuyama–Sakai conjecture

Okuyama and Sakai [JT supergravity and Brézin–Gross–Witten tau-function, J. High Energy Phys. 2020 (2020) 160] gave a conjectural equality for the higher genus generalized Brézin–Gross–Witten (BGW) free energies. In a recent work [D. Yang and Q. Zhang, On the Hodge-BGW correspondence, preprint (2021), arXiv:2112.12736], we established the Hodge-BGW correspondence on the relationship between certain special cubic Hodge integrals and the generalized BGW correlators, and a proof of the Okuyama–Sakai conjecture was also given ibid. In this paper, we give a new proof of the Okuyama–Sakai conjecture by a further application of the Dubrovin–Zhang theory for the KdV hierarchy.

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

Reviews in Mathematical Physics 物理-物理：数学物理

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Reviews in Mathematical Physics fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers - introductory and survey papers - are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics. Original research papers are not subject to page limitations provided they are of importance to this readership. It is desirable that such papers have an expository part understandable to a wider readership than experts. Papers with the character of a scientific letter are usually not suitable for RMP.