{"title":"量子超膜与 AdS/CFT 对偶性","authors":"A. A. Tseytlin","doi":"10.1134/S1063776123120154","DOIUrl":null,"url":null,"abstract":"<p>We review and extend some recent work on testing AdS/CFT correspondence between <i>U</i>(<i>N</i>)<sub><i>k</i></sub> × <i>U</i>(<i>N</i>)<sub>–<i>k</i></sub> Chern-Simons-matter 3d gauge theory and M-theory in AdS<sub>4</sub> × <i>S</i><sup>7</sup>/<b>Z</b><sub><i>k</i></sub> background. We demonstrate that 1-loop term in the quantum M2 brane partition function expanded near a classical solution correctly matches localization predictions on the gauge theory side in the case of BPS Wilson loop expectation value and instanton corrections to free energy.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"137 6","pages":"846 - 863"},"PeriodicalIF":1.0000,"publicationDate":"2024-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantum Supermembranes and AdS/CFT Duality\",\"authors\":\"A. A. Tseytlin\",\"doi\":\"10.1134/S1063776123120154\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We review and extend some recent work on testing AdS/CFT correspondence between <i>U</i>(<i>N</i>)<sub><i>k</i></sub> × <i>U</i>(<i>N</i>)<sub>–<i>k</i></sub> Chern-Simons-matter 3d gauge theory and M-theory in AdS<sub>4</sub> × <i>S</i><sup>7</sup>/<b>Z</b><sub><i>k</i></sub> background. We demonstrate that 1-loop term in the quantum M2 brane partition function expanded near a classical solution correctly matches localization predictions on the gauge theory side in the case of BPS Wilson loop expectation value and instanton corrections to free energy.</p>\",\"PeriodicalId\":629,\"journal\":{\"name\":\"Journal of Experimental and Theoretical Physics\",\"volume\":\"137 6\",\"pages\":\"846 - 863\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-01-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Experimental and Theoretical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1063776123120154\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Experimental and Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063776123120154","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
We review and extend some recent work on testing AdS/CFT correspondence between U(N)k × U(N)–k Chern-Simons-matter 3d gauge theory and M-theory in AdS4 × S7/Zk background. We demonstrate that 1-loop term in the quantum M2 brane partition function expanded near a classical solution correctly matches localization predictions on the gauge theory side in the case of BPS Wilson loop expectation value and instanton corrections to free energy.
期刊介绍:
Journal of Experimental and Theoretical Physics is one of the most influential physics research journals. Originally based on Russia, this international journal now welcomes manuscripts from all countries in the English or Russian language. It publishes original papers on fundamental theoretical and experimental research in all fields of physics: from solids and liquids to elementary particles and astrophysics.