{"title":"不同维度的高导数超引力","authors":"Mehmet Ozkan , Yi Pang , Ergin Sezgin","doi":"10.1016/j.physrep.2024.07.002","DOIUrl":null,"url":null,"abstract":"<div><p>We survey on-shell and off-shell higher derivative supergravities in dimensions <span><math><mrow><mn>1</mn><mo>≤</mo><mi>D</mi><mo>≤</mo><mn>11</mn></mrow></math></span>. Various approaches to their construction, including the Noether procedure, (harmonic) superspace, superform method, superconformal tensor calculus, <span><math><mi>S</mi></math></span>-matrix and dimensional reduction, are summarized. Primarily the bosonic parts of the invariants and the supertransformations of the fermionic fields are provided. The process of going on-shell, solutions to the Killing spinor equations, typical supersymmetric solutions, and the role of duality symmetries in the context of <span><math><mrow><msup><mrow><mi>R</mi></mrow><mrow><mn>4</mn></mrow></msup><mo>,</mo><msup><mrow><mi>D</mi></mrow><mrow><mn>4</mn></mrow></msup><msup><mrow><mi>R</mi></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></span> and <span><math><mrow><msup><mrow><mi>D</mi></mrow><mrow><mn>6</mn></mrow></msup><msup><mrow><mi>R</mi></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></span> invariants are reviewed.</p></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1086 ","pages":"Pages 1-95"},"PeriodicalIF":23.9000,"publicationDate":"2024-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Higher derivative supergravities in diverse dimensions\",\"authors\":\"Mehmet Ozkan , Yi Pang , Ergin Sezgin\",\"doi\":\"10.1016/j.physrep.2024.07.002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We survey on-shell and off-shell higher derivative supergravities in dimensions <span><math><mrow><mn>1</mn><mo>≤</mo><mi>D</mi><mo>≤</mo><mn>11</mn></mrow></math></span>. Various approaches to their construction, including the Noether procedure, (harmonic) superspace, superform method, superconformal tensor calculus, <span><math><mi>S</mi></math></span>-matrix and dimensional reduction, are summarized. Primarily the bosonic parts of the invariants and the supertransformations of the fermionic fields are provided. The process of going on-shell, solutions to the Killing spinor equations, typical supersymmetric solutions, and the role of duality symmetries in the context of <span><math><mrow><msup><mrow><mi>R</mi></mrow><mrow><mn>4</mn></mrow></msup><mo>,</mo><msup><mrow><mi>D</mi></mrow><mrow><mn>4</mn></mrow></msup><msup><mrow><mi>R</mi></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></span> and <span><math><mrow><msup><mrow><mi>D</mi></mrow><mrow><mn>6</mn></mrow></msup><msup><mrow><mi>R</mi></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></span> invariants are reviewed.</p></div>\",\"PeriodicalId\":404,\"journal\":{\"name\":\"Physics Reports\",\"volume\":\"1086 \",\"pages\":\"Pages 1-95\"},\"PeriodicalIF\":23.9000,\"publicationDate\":\"2024-08-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics Reports\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0370157324002722\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Reports","FirstCategoryId":"4","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0370157324002722","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Higher derivative supergravities in diverse dimensions
We survey on-shell and off-shell higher derivative supergravities in dimensions . Various approaches to their construction, including the Noether procedure, (harmonic) superspace, superform method, superconformal tensor calculus, -matrix and dimensional reduction, are summarized. Primarily the bosonic parts of the invariants and the supertransformations of the fermionic fields are provided. The process of going on-shell, solutions to the Killing spinor equations, typical supersymmetric solutions, and the role of duality symmetries in the context of and invariants are reviewed.
期刊介绍:
Physics Reports keeps the active physicist up-to-date on developments in a wide range of topics by publishing timely reviews which are more extensive than just literature surveys but normally less than a full monograph. Each report deals with one specific subject and is generally published in a separate volume. These reviews are specialist in nature but contain enough introductory material to make the main points intelligible to a non-specialist. The reader will not only be able to distinguish important developments and trends in physics but will also find a sufficient number of references to the original literature.