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 fi...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2022
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| Online Access: | https://hdl.handle.net/1721.1/143086 |
| _version_ | 1826214385694015488 |
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| author | Zan, Bernardo Freedman, Daniel Z. Pufu, Silviu S. |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Zan, Bernardo Freedman, Daniel Z. Pufu, Silviu S. |
| author_sort | Zan, Bernardo |
| collection | MIT |
| 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 | 2024-09-23T16:04:14Z |
| format | Article |
| id | mit-1721.1/143086 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:04:14Z |
| publishDate | 2022 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1430862023-01-09T20:54:36Z The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy Zan, Bernardo Freedman, Daniel Z. Pufu, Silviu S. Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Mathematics 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. 2022-06-13T13:40:03Z 2022-06-13T13:40:03Z 2022-06-08 2022-06-12T03:26:01Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/143086 Journal of High Energy Physics. 2022 Jun 08;2022(6):45 PUBLISHER_CC en https://doi.org/10.1007/JHEP06(2022)045 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0 The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Zan, Bernardo Freedman, Daniel Z. Pufu, Silviu S. The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy |
| 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 |
| url | https://hdl.handle.net/1721.1/143086 |
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