Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography
Abstract We undertake a comprehensive analysis of the supersymmetric partition function of the U(N) k × U(N) −k ABJM theory on a U(1) fibration over a Riemann surface, evaluating it to all orders in the 1/N-perturbative expansion up to exponentially suppressed corrections. Through holographic dualit...
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)194 |
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| author | Junho Hong |
| author_facet | Junho Hong |
| author_sort | Junho Hong |
| collection | DOAJ |
| description | Abstract We undertake a comprehensive analysis of the supersymmetric partition function of the U(N) k × U(N) −k ABJM theory on a U(1) fibration over a Riemann surface, evaluating it to all orders in the 1/N-perturbative expansion up to exponentially suppressed corrections. Through holographic duality, our perturbatively exact result is successfully matched with the regularized on-shell action of a dual Euclidean AdS4-Taub-Bolt background incorporating 4-derivative corrections, and also provides valuable insights into the logarithmic corrections that emerge from the 1-loop calculations in M-theory path integrals. In this process, we revisit the Euclidean AdS4-Taub-Bolt background carefully, elucidating the flat connection in the background graviphoton field. This analysis umambiguously determines the U(1) R holonomy along the Seifert fiber, thereby solidifying the holographic comparison regarding the partition function on a large subclass of Seifert manifolds. |
| format | Article |
| id | doaj-art-aa4dd07457a946f58e1479e88f28f1ec |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-aa4dd07457a946f58e1479e88f28f1ec2025-02-09T12:08:25ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113410.1007/JHEP01(2025)194Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holographyJunho Hong0Department of Physics & Center for Quantum Spacetime, Sogang UniversityAbstract We undertake a comprehensive analysis of the supersymmetric partition function of the U(N) k × U(N) −k ABJM theory on a U(1) fibration over a Riemann surface, evaluating it to all orders in the 1/N-perturbative expansion up to exponentially suppressed corrections. Through holographic duality, our perturbatively exact result is successfully matched with the regularized on-shell action of a dual Euclidean AdS4-Taub-Bolt background incorporating 4-derivative corrections, and also provides valuable insights into the logarithmic corrections that emerge from the 1-loop calculations in M-theory path integrals. In this process, we revisit the Euclidean AdS4-Taub-Bolt background carefully, elucidating the flat connection in the background graviphoton field. This analysis umambiguously determines the U(1) R holonomy along the Seifert fiber, thereby solidifying the holographic comparison regarding the partition function on a large subclass of Seifert manifolds.https://doi.org/10.1007/JHEP01(2025)1941/N ExpansionAdS-CFT CorrespondenceSupersymmetric Gauge Theory |
| spellingShingle | Junho Hong Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence Supersymmetric Gauge Theory |
| title | Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography |
| title_full | Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography |
| title_fullStr | Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography |
| title_full_unstemmed | Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography |
| title_short | Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography |
| title_sort | perturbatively exact supersymmetric partition functions of abjm theory on seifert manifolds and holography |
| topic | 1/N Expansion AdS-CFT Correspondence Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP01(2025)194 |
| work_keys_str_mv | AT junhohong perturbativelyexactsupersymmetricpartitionfunctionsofabjmtheoryonseifertmanifoldsandholography |