{"title":"AdS4 上的 SU(1,1) 和 SU(2) 束以及复杂超引力解","authors":"Ali Imaanpur","doi":"10.1016/j.nuclphysb.2024.116609","DOIUrl":null,"url":null,"abstract":"<div><p>We study eleven dimensional supergravity solutions with an <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>7</mn></mrow></msub></math></span> factor. By writing <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>7</mn></mrow></msub></math></span> metric as an <span><math><mi>S</mi><mi>U</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></span> bundle over <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span> we derive new supergravity solutions. The solutions, however, are obtained in Euclidean signature and thus are necessarily complex. We also discuss <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>7</mn></mrow></msub></math></span> as an <span><math><mi>S</mi><mi>U</mi><mo>(</mo><mn>2</mn><mo>)</mo></math></span> bundle over <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span>, and observe that the two sets of solutions are related by analytic continuation of the scale factor of the fiber.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5000,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324001755/pdfft?md5=373c922ef1feeae26c7558e4e2e8b258&pid=1-s2.0-S0550321324001755-main.pdf","citationCount":"0","resultStr":"{\"title\":\"SU(1,1) and SU(2) bundles on AdS4 and complex supergravity solutions\",\"authors\":\"Ali Imaanpur\",\"doi\":\"10.1016/j.nuclphysb.2024.116609\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study eleven dimensional supergravity solutions with an <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>7</mn></mrow></msub></math></span> factor. By writing <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>7</mn></mrow></msub></math></span> metric as an <span><math><mi>S</mi><mi>U</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></span> bundle over <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span> we derive new supergravity solutions. The solutions, however, are obtained in Euclidean signature and thus are necessarily complex. We also discuss <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>7</mn></mrow></msub></math></span> as an <span><math><mi>S</mi><mi>U</mi><mo>(</mo><mn>2</mn><mo>)</mo></math></span> bundle over <span><math><mi>A</mi><mi>d</mi><msub><mrow><mi>S</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span>, and observe that the two sets of solutions are related by analytic continuation of the scale factor of the fiber.</p></div>\",\"PeriodicalId\":54712,\"journal\":{\"name\":\"Nuclear Physics B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2024-06-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0550321324001755/pdfft?md5=373c922ef1feeae26c7558e4e2e8b258&pid=1-s2.0-S0550321324001755-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Physics B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0550321324001755\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, PARTICLES & FIELDS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics B","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0550321324001755","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
SU(1,1) and SU(2) bundles on AdS4 and complex supergravity solutions
We study eleven dimensional supergravity solutions with an factor. By writing metric as an bundle over we derive new supergravity solutions. The solutions, however, are obtained in Euclidean signature and thus are necessarily complex. We also discuss as an bundle over , and observe that the two sets of solutions are related by analytic continuation of the scale factor of the fiber.
期刊介绍：
Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.
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