Localization of the action in AdS/CFT
Abstract We derive a simple formula for the action of any supersymmetric solution to minimal gauged supergravity in the AdS4/CFT3 correspondence. Such solutions are equipped with a supersymmetric Killing vector, and we show that the holographically renormalized action may be expressed entirely in te...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2019)252 |
| _version_ | 1819084506425982976 |
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| author | Pietro Benetti Genolini Juan Manuel Perez Ipiña James Sparks |
| author_facet | Pietro Benetti Genolini Juan Manuel Perez Ipiña James Sparks |
| author_sort | Pietro Benetti Genolini |
| collection | DOAJ |
| description | Abstract We derive a simple formula for the action of any supersymmetric solution to minimal gauged supergravity in the AdS4/CFT3 correspondence. Such solutions are equipped with a supersymmetric Killing vector, and we show that the holographically renormalized action may be expressed entirely in terms of the weights of this vector field at its fixed points, together with certain topological data. In this sense, the classical gravitational partition function localizes in the bulk. We illustrate our general formula with a number of explicit examples, in which exact dual field theory computations are also available, which include supersymmetric Taub-NUT and Taub-bolt type spacetimes, as well as black hole solutions. Our simple topological formula also allows us to write down the action of any solution, provided it exists. |
| first_indexed | 2024-12-21T20:49:33Z |
| format | Article |
| id | doaj.art-132f2ed4448e41e48b2ce17d9ed26d55 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T20:49:33Z |
| publishDate | 2019-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-132f2ed4448e41e48b2ce17d9ed26d552022-12-21T18:50:44ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191014510.1007/JHEP10(2019)252Localization of the action in AdS/CFTPietro Benetti Genolini0Juan Manuel Perez Ipiña1James Sparks2Department of Applied Mathematics and Theoretical Physics, University of CambridgeMathematical Institute, University of OxfordMathematical Institute, University of OxfordAbstract We derive a simple formula for the action of any supersymmetric solution to minimal gauged supergravity in the AdS4/CFT3 correspondence. Such solutions are equipped with a supersymmetric Killing vector, and we show that the holographically renormalized action may be expressed entirely in terms of the weights of this vector field at its fixed points, together with certain topological data. In this sense, the classical gravitational partition function localizes in the bulk. We illustrate our general formula with a number of explicit examples, in which exact dual field theory computations are also available, which include supersymmetric Taub-NUT and Taub-bolt type spacetimes, as well as black hole solutions. Our simple topological formula also allows us to write down the action of any solution, provided it exists.http://link.springer.com/article/10.1007/JHEP10(2019)252AdS-CFT CorrespondenceSupergravity ModelsBlack Holes in String TheorySupersymmetric Gauge Theory |
| spellingShingle | Pietro Benetti Genolini Juan Manuel Perez Ipiña James Sparks Localization of the action in AdS/CFT Journal of High Energy Physics AdS-CFT Correspondence Supergravity Models Black Holes in String Theory Supersymmetric Gauge Theory |
| title | Localization of the action in AdS/CFT |
| title_full | Localization of the action in AdS/CFT |
| title_fullStr | Localization of the action in AdS/CFT |
| title_full_unstemmed | Localization of the action in AdS/CFT |
| title_short | Localization of the action in AdS/CFT |
| title_sort | localization of the action in ads cft |
| topic | AdS-CFT Correspondence Supergravity Models Black Holes in String Theory Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP10(2019)252 |
| work_keys_str_mv | AT pietrobenettigenolini localizationoftheactioninadscft AT juanmanuelperezipina localizationoftheactioninadscft AT jamessparks localizationoftheactioninadscft |