Large N superconformal indices for 3d holographic SCFTs
Abstract We study a limit of the superconformal index of the ABJM theory on S 1 × S 2 in which the size of the circle is much smaller than the radius of the two-sphere. We derive closed form expressions for the two leading terms in this Cardy-like limit which are valid to all orders in the 1/N expan...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2023)027 |
| _version_ | 1797779163050934272 |
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| author | Nikolay Bobev Sunjin Choi Junho Hong Valentin Reys |
| author_facet | Nikolay Bobev Sunjin Choi Junho Hong Valentin Reys |
| author_sort | Nikolay Bobev |
| collection | DOAJ |
| description | Abstract We study a limit of the superconformal index of the ABJM theory on S 1 × S 2 in which the size of the circle is much smaller than the radius of the two-sphere. We derive closed form expressions for the two leading terms in this Cardy-like limit which are valid to all orders in the 1/N expansion. These results are facilitated by a judicious rewriting of the superconformal index which establishes a connection with the Bethe Ansatz Equations that control the topologically twisted index. Using the same technique we extend these results to the superconformal index of another holographic theory: 3d N $$ \mathcal{N} $$ = 4 SYM coupled to one adjoint and N f fundamental hypermultiplets. We discuss the implications of our results for holography and the physics of charged rotating black holes in AdS4. |
| first_indexed | 2024-03-12T23:26:40Z |
| format | Article |
| id | doaj.art-f254a8ff9b00496da5a25a6dc34e61c6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:26:40Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f254a8ff9b00496da5a25a6dc34e61c62023-07-16T11:06:47ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023214110.1007/JHEP02(2023)027Large N superconformal indices for 3d holographic SCFTsNikolay Bobev0Sunjin Choi1Junho Hong2Valentin Reys3Institute for Theoretical Physics, KU LeuvenSchool of Physics, Korea Institute for Advanced StudyInstitute for Theoretical Physics, KU LeuvenInstitute for Theoretical Physics, KU LeuvenAbstract We study a limit of the superconformal index of the ABJM theory on S 1 × S 2 in which the size of the circle is much smaller than the radius of the two-sphere. We derive closed form expressions for the two leading terms in this Cardy-like limit which are valid to all orders in the 1/N expansion. These results are facilitated by a judicious rewriting of the superconformal index which establishes a connection with the Bethe Ansatz Equations that control the topologically twisted index. Using the same technique we extend these results to the superconformal index of another holographic theory: 3d N $$ \mathcal{N} $$ = 4 SYM coupled to one adjoint and N f fundamental hypermultiplets. We discuss the implications of our results for holography and the physics of charged rotating black holes in AdS4.https://doi.org/10.1007/JHEP02(2023)0271/N ExpansionAdS-CFT CorrespondenceSupersymmetric Gauge Theory |
| spellingShingle | Nikolay Bobev Sunjin Choi Junho Hong Valentin Reys Large N superconformal indices for 3d holographic SCFTs Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence Supersymmetric Gauge Theory |
| title | Large N superconformal indices for 3d holographic SCFTs |
| title_full | Large N superconformal indices for 3d holographic SCFTs |
| title_fullStr | Large N superconformal indices for 3d holographic SCFTs |
| title_full_unstemmed | Large N superconformal indices for 3d holographic SCFTs |
| title_short | Large N superconformal indices for 3d holographic SCFTs |
| title_sort | large n superconformal indices for 3d holographic scfts |
| topic | 1/N Expansion AdS-CFT Correspondence Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP02(2023)027 |
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