The holographic contributions to the sphere free energy
Abstract We study which bulk couplings contribute to the S 3 free energy F( m $$ \mathfrak{m} $$ ) of three-dimensional N $$ \mathcal{N} $$ = 2 superconformal field theories with holographic duals, potentially deformed by boundary real-mass parameters m. In particular, we show that F( m $$ \mathfrak...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2022)171 |
| _version_ | 1798022603574607872 |
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| author | Damon J. Binder Daniel Z. Freedman Silviu S. Pufu Bernardo Zan |
| author_facet | Damon J. Binder Daniel Z. Freedman Silviu S. Pufu Bernardo Zan |
| author_sort | Damon J. Binder |
| collection | DOAJ |
| description | Abstract We study which bulk couplings contribute to the S 3 free energy F( m $$ \mathfrak{m} $$ ) of three-dimensional N $$ \mathcal{N} $$ = 2 superconformal field theories with holographic duals, potentially deformed by boundary real-mass parameters m. In particular, we show that F( m $$ \mathfrak{m} $$ ) is independent of a large class of bulk couplings that include non-chiral F-terms and all D-terms. On the other hand, in general, F( m $$ \mathfrak{m} $$ ) does depend non-trivially on bulk chiral F-terms, such as prepotential interactions, and on bulk real-mass terms. These conclusions can be reached solely from properties of the AdS super-algebra, osp $$ \mathfrak{osp} $$ (2|4). We also consider massive vector multiplets in AdS, which in the dual field theory correspond to long single-trace superconformal multiplets of spin zero. We provide evidence that F( m $$ \mathfrak{m} $$ ) is insensitive to the vector multiplet mass and to the interaction couplings between the massive vector multiplet and massless ones. In particular, this implies that F( m $$ \mathfrak{m} $$ ) does not contain information about scaling dimensions or OPE coefficients of single-trace long scalar N $$ \mathcal{N} $$ = 2 superconformal multiplets. |
| first_indexed | 2024-04-11T17:32:38Z |
| format | Article |
| id | doaj.art-bfd42bbea78b4cd993d91c7620fc94ca |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T17:32:38Z |
| publishDate | 2022-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bfd42bbea78b4cd993d91c7620fc94ca2022-12-22T04:11:58ZengSpringerOpenJournal of High Energy Physics1029-84792022-01-012022116410.1007/JHEP01(2022)171The holographic contributions to the sphere free energyDamon J. Binder0Daniel Z. Freedman1Silviu S. Pufu2Bernardo Zan3Joseph Henry Laboratories, Princeton UniversityStanford Institute for Theoretical Physics, Department of Physics, Stanford UniversityJoseph Henry Laboratories, Princeton UniversityJoseph Henry Laboratories, Princeton UniversityAbstract We study which bulk couplings contribute to the S 3 free energy F( m $$ \mathfrak{m} $$ ) of three-dimensional N $$ \mathcal{N} $$ = 2 superconformal field theories with holographic duals, potentially deformed by boundary real-mass parameters m. In particular, we show that F( m $$ \mathfrak{m} $$ ) is independent of a large class of bulk couplings that include non-chiral F-terms and all D-terms. On the other hand, in general, F( m $$ \mathfrak{m} $$ ) does depend non-trivially on bulk chiral F-terms, such as prepotential interactions, and on bulk real-mass terms. These conclusions can be reached solely from properties of the AdS super-algebra, osp $$ \mathfrak{osp} $$ (2|4). We also consider massive vector multiplets in AdS, which in the dual field theory correspond to long single-trace superconformal multiplets of spin zero. We provide evidence that F( m $$ \mathfrak{m} $$ ) is insensitive to the vector multiplet mass and to the interaction couplings between the massive vector multiplet and massless ones. In particular, this implies that F( m $$ \mathfrak{m} $$ ) does not contain information about scaling dimensions or OPE coefficients of single-trace long scalar N $$ \mathcal{N} $$ = 2 superconformal multiplets.https://doi.org/10.1007/JHEP01(2022)171AdS-CFT CorrespondenceConformal Field TheoryExtended SupersymmetrySupergravity Models |
| spellingShingle | Damon J. Binder Daniel Z. Freedman Silviu S. Pufu Bernardo Zan The holographic contributions to the sphere free energy Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory Extended Supersymmetry Supergravity Models |
| title | The holographic contributions to the sphere free energy |
| title_full | The holographic contributions to the sphere free energy |
| title_fullStr | The holographic contributions to the sphere free energy |
| title_full_unstemmed | The holographic contributions to the sphere free energy |
| title_short | The holographic contributions to the sphere free energy |
| title_sort | holographic contributions to the sphere free energy |
| topic | AdS-CFT Correspondence Conformal Field Theory Extended Supersymmetry Supergravity Models |
| url | https://doi.org/10.1007/JHEP01(2022)171 |
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