The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy
Abstract We study the mass-deformed sphere free energy of three-dimensional N $$ \mathcal{N} $$ = 2 superconformal field theories with holographic duals. Building on previous observations, we conjecture a proportionality relation between the sphere free energy on the boundary and the prepotential of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2022)045 |
| _version_ | 1797865764040998912 |
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| author | Bernardo Zan Daniel Z. Freedman Silviu S. Pufu |
| author_facet | Bernardo Zan Daniel Z. Freedman Silviu S. Pufu |
| author_sort | Bernardo Zan |
| collection | DOAJ |
| description | Abstract We study the mass-deformed sphere free energy of three-dimensional N $$ \mathcal{N} $$ = 2 superconformal field theories with holographic duals. Building on previous observations, we conjecture a proportionality relation between the sphere free energy on the boundary and the prepotential of the four-dimensional N $$ \mathcal{N} $$ = 2 supergravity theory in the bulk. We verify this formula by explicit computation in several examples of supergravity theories with vector multiplets and hypermultiplets. |
| first_indexed | 2024-04-09T23:14:28Z |
| format | Article |
| id | doaj.art-be7b217749a74032add26d73033ba259 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:14:28Z |
| publishDate | 2022-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-be7b217749a74032add26d73033ba2592023-03-22T10:12:15ZengSpringerOpenJournal of High Energy Physics1029-84792022-06-012022614710.1007/JHEP06(2022)045The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energyBernardo Zan0Daniel Z. Freedman1Silviu S. Pufu2Joseph Henry Laboratories, Princeton UniversityStanford Institute for Theoretical Physics, Department of Physics, Stanford UniversityJoseph Henry Laboratories, Princeton UniversityAbstract We study the mass-deformed sphere free energy of three-dimensional N $$ \mathcal{N} $$ = 2 superconformal field theories with holographic duals. Building on previous observations, we conjecture a proportionality relation between the sphere free energy on the boundary and the prepotential of the four-dimensional N $$ \mathcal{N} $$ = 2 supergravity theory in the bulk. We verify this formula by explicit computation in several examples of supergravity theories with vector multiplets and hypermultiplets.https://doi.org/10.1007/JHEP06(2022)045AdS-CFT CorrespondenceSupergravity ModelsExtended SupersymmetryRenormalization Group |
| spellingShingle | Bernardo Zan Daniel Z. Freedman Silviu S. Pufu The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy Journal of High Energy Physics AdS-CFT Correspondence Supergravity Models Extended Supersymmetry Renormalization Group |
| title | The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy |
| title_full | The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy |
| title_fullStr | The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy |
| title_full_unstemmed | The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy |
| title_short | The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy |
| title_sort | n mathcal n 2 prepotential and the sphere free energy |
| topic | AdS-CFT Correspondence Supergravity Models Extended Supersymmetry Renormalization Group |
| url | https://doi.org/10.1007/JHEP06(2022)045 |
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