{"title":"二维非酉\\( \\mathcal{N} \\) = 1超对称最小模型的三维体场理论","authors":"Seungjoo Baek, Dongmin Gang","doi":"10.1007/JHEP01(2025)027","DOIUrl":null,"url":null,"abstract":"<p>We propose bulk 3D <span>\\( \\mathcal{N} \\)</span> = 4 rank-0 superconformal field theories, which are related to 2D <span>\\( \\mathcal{N} \\)</span> = 1 supersymmetric minimal models, <i>SM</i> (2, ·) and <i>SM</i> (3, ·), via recently discovered non-unitary bulk-boundary correspondence. The correspondence relates a 3D <span>\\( \\mathcal{N} \\)</span> = 4 rank-0 superconformal field theory to 2D chiral rational conformal field theories. A topologically twisted theory of the rank-0 SCFT supports the rational chiral algebra at the boundary upon a proper choice of boundary condition. We test the proposal by checking several non-trivial dictionaries of the correspondence.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 1","pages":""},"PeriodicalIF":5.5000,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP01(2025)027.pdf","citationCount":"0","resultStr":"{\"title\":\"3D bulk field theories for 2D non-unitary \\\\( \\\\mathcal{N} \\\\) = 1 supersymmetric minimal models\",\"authors\":\"Seungjoo Baek, Dongmin Gang\",\"doi\":\"10.1007/JHEP01(2025)027\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We propose bulk 3D <span>\\\\( \\\\mathcal{N} \\\\)</span> = 4 rank-0 superconformal field theories, which are related to 2D <span>\\\\( \\\\mathcal{N} \\\\)</span> = 1 supersymmetric minimal models, <i>SM</i> (2, ·) and <i>SM</i> (3, ·), via recently discovered non-unitary bulk-boundary correspondence. The correspondence relates a 3D <span>\\\\( \\\\mathcal{N} \\\\)</span> = 4 rank-0 superconformal field theory to 2D chiral rational conformal field theories. A topologically twisted theory of the rank-0 SCFT supports the rational chiral algebra at the boundary upon a proper choice of boundary condition. We test the proposal by checking several non-trivial dictionaries of the correspondence.</p>\",\"PeriodicalId\":635,\"journal\":{\"name\":\"Journal of High Energy Physics\",\"volume\":\"2025 1\",\"pages\":\"\"},\"PeriodicalIF\":5.5000,\"publicationDate\":\"2025-01-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/JHEP01(2025)027.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/JHEP01(2025)027\",\"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/JHEP01(2025)027","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}
3D bulk field theories for 2D non-unitary \( \mathcal{N} \) = 1 supersymmetric minimal models
We propose bulk 3D \( \mathcal{N} \) = 4 rank-0 superconformal field theories, which are related to 2D \( \mathcal{N} \) = 1 supersymmetric minimal models, SM (2, ·) and SM (3, ·), via recently discovered non-unitary bulk-boundary correspondence. The correspondence relates a 3D \( \mathcal{N} \) = 4 rank-0 superconformal field theory to 2D chiral rational conformal field theories. A topologically twisted theory of the rank-0 SCFT supports the rational chiral algebra at the boundary upon a proper choice of boundary condition. We test the proposal by checking several non-trivial dictionaries of the correspondence.
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.
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Collider Physics
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Mostly Strong Interactions (phenomenology).