Emilio Franco, Peter B. Gothen, André Oliveira, Ana Peón-Nieto
{"title":"纳拉西曼-拉曼糠和摇摆希格斯束","authors":"Emilio Franco, Peter B. Gothen, André Oliveira, Ana Peón-Nieto","doi":"10.1142/s0129167x24410064","DOIUrl":null,"url":null,"abstract":"<p>Narasimhan–Ramanan branes, introduced by the authors in a previous paper, consist of a family of <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mstyle><mtext mathvariant=\"normal\">BBB</mtext></mstyle></math></span><span></span>-branes inside the moduli space of Higgs bundles, and a family of complex Lagrangian subvarieties. It was conjectured that these complex Lagrangian subvarieties support the <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mstyle><mtext mathvariant=\"normal\">BBB</mtext></mstyle></math></span><span></span>-branes that are mirror dual to the Narasimhan–Ramanan <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mstyle><mtext mathvariant=\"normal\">BBB</mtext></mstyle></math></span><span></span>-branes. In this paper, we show that the support of these branes intersects nontrivially the locus of wobbly Higgs bundles.</p>","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":"57 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Narasimhan–Ramanan branes and wobbly Higgs bundles\",\"authors\":\"Emilio Franco, Peter B. Gothen, André Oliveira, Ana Peón-Nieto\",\"doi\":\"10.1142/s0129167x24410064\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Narasimhan–Ramanan branes, introduced by the authors in a previous paper, consist of a family of <span><math altimg=\\\"eq-00001.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mstyle><mtext mathvariant=\\\"normal\\\">BBB</mtext></mstyle></math></span><span></span>-branes inside the moduli space of Higgs bundles, and a family of complex Lagrangian subvarieties. It was conjectured that these complex Lagrangian subvarieties support the <span><math altimg=\\\"eq-00002.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mstyle><mtext mathvariant=\\\"normal\\\">BBB</mtext></mstyle></math></span><span></span>-branes that are mirror dual to the Narasimhan–Ramanan <span><math altimg=\\\"eq-00003.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mstyle><mtext mathvariant=\\\"normal\\\">BBB</mtext></mstyle></math></span><span></span>-branes. In this paper, we show that the support of these branes intersects nontrivially the locus of wobbly Higgs bundles.</p>\",\"PeriodicalId\":54951,\"journal\":{\"name\":\"International Journal of Mathematics\",\"volume\":\"57 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-04-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1142/s0129167x24410064\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s0129167x24410064","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Narasimhan–Ramanan branes and wobbly Higgs bundles
Narasimhan–Ramanan branes, introduced by the authors in a previous paper, consist of a family of -branes inside the moduli space of Higgs bundles, and a family of complex Lagrangian subvarieties. It was conjectured that these complex Lagrangian subvarieties support the -branes that are mirror dual to the Narasimhan–Ramanan -branes. In this paper, we show that the support of these branes intersects nontrivially the locus of wobbly Higgs bundles.
期刊介绍:
The International Journal of Mathematics publishes original papers in mathematics in general, but giving a preference to those in the areas of mathematics represented by the editorial board. The journal has been published monthly except in June and December to bring out new results without delay. Occasionally, expository papers of exceptional value may also be published. The first issue appeared in March 1990.