{"title":"排列轨道中扭曲模的融合积2","authors":"Chongying Dong, Feng Xu, Nina Yu","doi":"10.1007/s00220-025-05404-4","DOIUrl":null,"url":null,"abstract":"<div><p>Let <i>V</i> be a simple, rational, <span>\\(C_{2}\\)</span>-cofinite vertex operator algebra of CFT type, and let <i>k</i> be a positive integer. In this paper, we determine the fusion products of twisted modules for <span>\\(V^{\\otimes k}\\)</span> and <span>\\(G = \\left\\langle g \\right\\rangle \\)</span> generated by any permutation <span>\\(g \\in S_{k}\\)</span>.\n</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 9","pages":""},"PeriodicalIF":2.6000,"publicationDate":"2025-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fusion Products of Twisted Modules in Permutation Orbifolds: II\",\"authors\":\"Chongying Dong, Feng Xu, Nina Yu\",\"doi\":\"10.1007/s00220-025-05404-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Let <i>V</i> be a simple, rational, <span>\\\\(C_{2}\\\\)</span>-cofinite vertex operator algebra of CFT type, and let <i>k</i> be a positive integer. In this paper, we determine the fusion products of twisted modules for <span>\\\\(V^{\\\\otimes k}\\\\)</span> and <span>\\\\(G = \\\\left\\\\langle g \\\\right\\\\rangle \\\\)</span> generated by any permutation <span>\\\\(g \\\\in S_{k}\\\\)</span>.\\n</p></div>\",\"PeriodicalId\":522,\"journal\":{\"name\":\"Communications in Mathematical Physics\",\"volume\":\"406 9\",\"pages\":\"\"},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2025-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00220-025-05404-4\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00220-025-05404-4","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
摘要
设V是一个CFT型的简单有理\(C_{2}\)有限顶点算子代数,设k是一个正整数。在本文中,我们确定了任意排列\(g \in S_{k}\)所产生的\(V^{\otimes k}\)和\(G = \left\langle g \right\rangle \)的扭曲模的融合积。
Fusion Products of Twisted Modules in Permutation Orbifolds: II
Let V be a simple, rational, \(C_{2}\)-cofinite vertex operator algebra of CFT type, and let k be a positive integer. In this paper, we determine the fusion products of twisted modules for \(V^{\otimes k}\) and \(G = \left\langle g \right\rangle \) generated by any permutation \(g \in S_{k}\).
期刊介绍:
The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.